From 3bf498113f95f3da79200fc282518030ff38b9e0 Mon Sep 17 00:00:00 2001 From: Jeremy Malloch Date: Mon, 25 Jul 2016 13:44:21 -0400 Subject: [PATCH 01/11] Implemented an exponential moving average filter, as well as swapped all lists for deques so that the algorithms run in constant time --- .gitignore | 94 +++++++++++++++++++++ Python/ecg.py | 165 +++++++++++++++++++------------------ Python/emg.py | 12 +-- Python/signal_utilities.py | 95 ++++++++++++++++----- 4 files changed, 259 insertions(+), 107 deletions(-) create mode 100644 .gitignore diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..8d31bae --- /dev/null +++ b/.gitignore @@ -0,0 +1,94 @@ +# Created by .ignore support plugin (hsz.mobi) +### Python template +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +env/ +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +*.egg-info/ +.installed.cfg +*.egg + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*,cover +.hypothesis/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# IPython Notebook +.ipynb_checkpoints + +# pyenv +.python-version + +# celery beat schedule file +celerybeat-schedule + +# dotenv +.env + +# virtualenv +venv/ +ENV/ + +# Spyder project settings +.spyderproject + +# Rope project settings +.ropeproject + +.gitignore +.idea/ diff --git a/Python/ecg.py b/Python/ecg.py index f467d26..8015f58 100644 --- a/Python/ecg.py +++ b/Python/ecg.py @@ -1,82 +1,87 @@ -import signal_utilities as su +import signal_utilities as su -#PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS + +# PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS class ECG(object): - def __init__(self, sample_frequency = 200, pkpk_threshold_ratio = 2.0, reference_available = False, autodetect_threshold = True): #range_ = 0.1, - self.sample_frequency = sample_frequency - #self.range_ = range_ - self.reference_available = reference_available - self.initialization_period = self.sample_frequency * 3 - - self.samples_between_beats = su.Basic_Stats(length = 3) #sized two or three, averaged to get BPM - #self.samples_between_beats.add_data(0) - self.signal_tracker = su.PkPk(sample_frequency = sample_frequency, min_frequency = self.sample_frequency / 20, max_frequency = self.sample_frequency / 8) #PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS - self.BPM = 0 - - self.data_points_received = 0 - self.initialization_data = su.Basic_Stats(length = self.initialization_period) - self.average_pkpk = -1 - self.pkpk_threshold_ratio = 2.0 - self.autodetect_ratio = 0.2 - self.data_samples_since_beat = 0 - self.first_beat = True - #self.just_detected_beat = False #if true, prevents another beat from being detected for 1/2 of last beat-to-beat time - - self.autodetect_threshold = autodetect_threshold - self.init_maxs = su.Moving_Average(length = sample_frequency / 40, return_int = True) - init_maxs_average = 0; - #self.init_mins = su.Moving_Average(length = sample_frequency / 40, return_int = True) - #init_mins_average = 0; - - def initialize(self, data, reference_data = 0): - if self.reference_available == True: - data = data - reference_data - current_pkpk = self.signal_tracker.get_pkpk(data)['pkpk'] - if self.average_pkpk == -1: - self.average_pkpk = current_pkpk - else: - self.average_pkpk = self.initialization_data.get_average(current_pkpk) - - if self.autodetect_threshold == True: - if len(self.init_maxs.data) == 0 or data >= self.init_maxs.data[-1]: - self.init_maxs_average = self.init_maxs.get_movingAvg(data) - - #if len(self.init_mins.data) == 0 or data <= self.init_mins.data[-1]: - # self.init_mins_average = self.init_mins.get_movingAvg(data) - - if self.data_points_received == self.initialization_period - 1: - self.pkpk_threshold_ratio = self.autodetect_ratio * self.init_maxs_average / self.average_pkpk #be able to set both thresholds - #print "CALCULATED THRESHOLD: ", self.pkpk_threshold_ratio - - def get_BPM(self, data, reference_data = 0): - if self.reference_available == True: - data = data - reference_data - average_delay = 0 - if self.data_points_received < self.initialization_period: - self.initialize(data) - self.data_points_received += 1 - else: - #print "not initializing anymore" - current_pkpk = self.signal_tracker.get_pkpk(data)['pkpk'] - self.data_samples_since_beat += 1 - if (current_pkpk > self.average_pkpk * self.pkpk_threshold_ratio) and (self.first_beat == True or self.data_samples_since_beat > 0.75 * self.samples_between_beats.data_points[0]): - #self.just_detected_beat = True - #if self.first_beat == True: - # self.samples_between_beats.add_data(self.data_samples_since_beat) - # self.first_beat = False - - average_delay = self.samples_between_beats.get_average(self.data_samples_since_beat) - - - #beat detected, disable detection for next ... seconds (fraction of time between most recent beat intervals) - if self.first_beat == True: - self.BPM = 60.0 * self.sample_frequency / self.data_samples_since_beat - self.first_beat = False - else: - self.BPM = 60.0 * self.sample_frequency / average_delay - - self.data_samples_since_beat = 0 - - return self.BPM - -#print "End of ECG module" + def __init__(self, sample_frequency=200, pkpk_threshold_ratio=2.0, reference_available=False, + autodetect_threshold=True): # range_ = 0.1, + self.sample_frequency = sample_frequency + # self.range_ = range_ + self.reference_available = reference_available + self.initialization_period = self.sample_frequency * 3 + + self.samples_between_beats = su.Basic_Stats(length=3) # sized two or three, averaged to get BPM + # self.samples_between_beats.add_data(0) + self.signal_tracker = su.PkPk(sample_frequency=sample_frequency, min_frequency=self.sample_frequency / 20, + max_frequency=self.sample_frequency / 8) # PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS + self.BPM = 0 + + self.data_points_received = 0 + self.initialization_data = su.Basic_Stats(length=self.initialization_period) + self.average_pkpk = -1 + self.pkpk_threshold_ratio = 2.0 + self.autodetect_ratio = 0.2 + self.data_samples_since_beat = 0 + self.first_beat = True + # self.just_detected_beat = False #if true, prevents another beat from being detected for 1/2 of last beat-to-beat time + + self.autodetect_threshold = autodetect_threshold + self.init_maxs = su.Moving_Average(length=sample_frequency / 40, return_int=True) + init_maxs_average = 0; + + # self.init_mins = su.Moving_Average(length = sample_frequency / 40, return_int = True) + # init_mins_average = 0; + + def initialize(self, data, reference_data=0): + if self.reference_available == True: + data = data - reference_data + current_pkpk = self.signal_tracker.get_pkpk(data)['pkpk'] + if self.average_pkpk == -1: + self.average_pkpk = current_pkpk + else: + self.average_pkpk = self.initialization_data.get_average(current_pkpk) + + if self.autodetect_threshold == True: + if len(self.init_maxs.data) == 0 or data >= self.init_maxs.data[-1]: + self.init_maxs_average = self.init_maxs.get_MA(data) + + # if len(self.init_mins.data) == 0 or data <= self.init_mins.data[-1]: + # self.init_mins_average = self.init_mins.get_MA(data) + + if self.data_points_received == self.initialization_period - 1: + self.pkpk_threshold_ratio = self.autodetect_ratio * self.init_maxs_average / self.average_pkpk # be able to set both thresholds + # print "CALCULATED THRESHOLD: ", self.pkpk_threshold_ratio + + def get_BPM(self, data, reference_data=0): + if self.reference_available == True: + data = data - reference_data + average_delay = 0 + if self.data_points_received < self.initialization_period: + self.initialize(data) + self.data_points_received += 1 + else: + # print "not initializing anymore" + current_pkpk = self.signal_tracker.get_pkpk(data)['pkpk'] + self.data_samples_since_beat += 1 + if (current_pkpk > self.average_pkpk * self.pkpk_threshold_ratio) and ( + self.first_beat == True or self.data_samples_since_beat > 0.75 * + self.samples_between_beats.data_points[0]): + # self.just_detected_beat = True + # if self.first_beat == True: + # self.samples_between_beats.add_data(self.data_samples_since_beat) + # self.first_beat = False + + average_delay = self.samples_between_beats.get_average(self.data_samples_since_beat) + + # beat detected, disable detection for next ... seconds (fraction of time between most recent beat intervals) + if self.first_beat == True: + self.BPM = 60.0 * self.sample_frequency / self.data_samples_since_beat + self.first_beat = False + else: + self.BPM = 60.0 * self.sample_frequency / average_delay + + self.data_samples_since_beat = 0 + + return self.BPM + +# print "End of ECG module" diff --git a/Python/emg.py b/Python/emg.py index 18a09ee..6c4171f 100644 --- a/Python/emg.py +++ b/Python/emg.py @@ -1,9 +1,11 @@ import signal_utilities as su +from collections import deque + #Simple filter class assumes no low-frequency noise and data centred at 0. More complex filteres inherit from this. class EMG_filter_basic(object): def __init__(self, sample_frequency = 200, range_ = 0.1, reference_available = False): - self.log = [] #used to store filtered data + self.log = deque([]) #used to store filtered data self.reference_available = reference_available self.MA = su.Moving_Average(length = sample_frequency * range_, return_int = True) @@ -13,7 +15,7 @@ def __init__(self, sample_frequency = 200, range_ = 0.1, reference_available = F #input filtered data def log_data(self, to_log): - self.log.insert(0, to_log) + self.log.appendleft(to_log) #pop and return either one data point or a set of data points def pop_log(self, num_to_pop = 1): @@ -33,14 +35,14 @@ def rectify(self, to_rectify): #this function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it def filter(self, data, reference_data = 0): if not self.reference_available: - filtered_value = self.MA.get_movingAvg(self.rectify(data)) + filtered_value = self.MA.get_MA(self.rectify(data)) self.log_data(filtered_value) return filtered_value else: clean_data = self.LPF_data.filter(data) clean_reference = self.LPF_reference.filter(reference_data) - filtered_value = self.MA.get_movingAvg(self.rectify(clean_data - clean_reference)) + filtered_value = self.MA.get_MA(self.rectify(clean_data - clean_reference)) self.log_data(filtered_value) #print "Reference used" return filtered_value @@ -61,7 +63,7 @@ def filter(self, data, reference_data = 0): data = clean_data - clean_reference neutral_value = self.PkPk.get_pkpk(data)['neutral'] - filtered_value = self.MA.get_movingAvg(self.rectify(data - neutral_value)) + filtered_value = self.MA.get_MA(self.rectify(data - neutral_value)) self.log_data(filtered_value) return filtered_value diff --git a/Python/signal_utilities.py b/Python/signal_utilities.py index 13d5d17..b309dcf 100644 --- a/Python/signal_utilities.py +++ b/Python/signal_utilities.py @@ -1,30 +1,28 @@ -#Encapsulation of a key function that some filters require +from collections import deque + + class Moving_Average(object): + """ + Encapsulation of a key function that some filters require + Note: MA stands for moving average + """ def __init__(self, length, return_int = False): - self.data = [] + self.data = deque([]) self.data_sum = -1 - #self.data_avg = -1 self.length = length self.value = -1 self.return_int = return_int - #self.sample_frequency = sample_frequency #in Hz - #self.range_ = range_ #in seconds - #self.scope = 1.0 * self.sample_frequency * self.range_ #in number of samples, limits the length of movingAvg - #self.sum_movingAvg = 0 #tracks the sum of the moving average - #self.val_movingAvg = -1 #the latest moving average value - #self.movingAvg = [] #used to store the datapoints for taking a moving average - - def get_movingAvg (self, data): - self.data.insert(0, data) + def get_MA (self, data): + self.data.appendleft(data) self.data_sum += data if len(self.data) > self.length: self.data_sum -= self.data.pop() if self.return_int == True: - self.value = int(self.data_sum / self.length) #preserves integer form - else: + self.value = self.data_sum // self.length #preserves integer form + else: self.value = 1.0 * self.data_sum / self.length if len(self.data) < (self.length / 2): @@ -32,8 +30,58 @@ def get_movingAvg (self, data): else: return self.value -#Simplifies the creation of a moving average-based LPF + +class ExpMovingAverage: + """ + An exponential moving average filter with variable exponentiating factors. + Does not return an exponential moving average while the log is being populated at first (it would be too + computationally expensive calculate the sum for each step to the end of the frame in order to have the weighting + factors sum to 1) + Note: As above, MA stands for moving average, and EMA stands for Exponential Moving Average + """ + def __init__(self, expFactor_ = 0.5, window_ = 50): + """ + expFactor is what each term is multiplied by each time it is shift right in the current frame + window is the number of samples that are taken into account when calculating the EMA + 0 < expFactor < 1 + 1 < window + """ + if 0 < expFactor_ < 1: + self.expFactor= float(expFactor_) + else: + raise ValueError("expFactor must be between 0 and 1") + self.window = window_ # Number of samples that are factored into calculation + self.sumEMA = 0 # Initialize the sum of the EMA as zero + self.EMA = deque([], maxlen = self.window) # Initialize an empty deque iterable to contain the EMA calculated + # for the past + self.log = deque([], maxlen = self.window) # Initialize an empty deque iterable of the unfiltered datapoints + self.finalFactor = self.expFactor**self.window # Precomputed weighting factor applied to the last entry in the + # EMA sum + self.weightFactor = sum([self.expFactor ** x for x in range(1, self.window)]) * 1.0 # Value sumEMA is divided + # by so that sum of EMA weights is normalized to 1 + + def get_EMA(self, dataPoint): + """ + Calculates the exponential moving average for the most recent points + """ + if len(self.log) < self.window - 1: + # If the log will not be as long as the full window after the new dataPoint is added, no EMA will be + # calculated or returned + self.sumEMA = self.expFactor * (dataPoint + self.sumEMA) + self.log.appendleft(dataPoint) + return + else: + self.sumEMA = ((self.sumEMA - self.finalFactor * self.log[-1]) + dataPoint) * self.expFactor + self.log.appendleft(dataPoint) + return_value = self.sumEMA / self.weightFactor + self.EMA.appendleft(return_value) + return return_value + + class LPF(Moving_Average): + """ + Simplifies the creation of a moving average-based low pass filter + """ def __init__(self, cutoff_frequency, sample_frequency, return_int = False): length = int(0.125 * sample_frequency / cutoff_frequency) Moving_Average.__init__(self, length, return_int = return_int) @@ -42,18 +90,18 @@ def filter(self, to_filter): if self.length < 2: return to_filter else: - return self.get_movingAvg(to_filter) + return self.get_MA(to_filter) class Basic_Stats(object): def __init__(self, length): self.length = length - self.data_points = [] + self.data_points = deque([]) self.total_sum = -1 self.average = -1 self.stddev = -1 def add_data(self, data): - self.data_points.insert(0, data) + self.data_points.appendleft(data) self.total_sum += data if len(self.data_points) > self.length: @@ -66,8 +114,11 @@ def get_average(self, data): class PkPk(object): + """ + Peak to peak filter + """ def __init__(self, sample_frequency, min_frequency, max_frequency): - self.for_pkpk = [] + self.for_pkpk = deque([]) self.min_frequency = min_frequency self.max_frequency = max_frequency self.min_pk_gap = sample_frequency / max_frequency @@ -79,11 +130,11 @@ def __init__(self, sample_frequency, min_frequency, max_frequency): #self.min_pk_gap = 1.0/self.max_EMG_frequency * sample_frequency #the minimun distance in data points that two registered peaks can be #self.max_pk_gap = 1.0/self.min_EMG_frequency * sample_frequency #the maximum distance two consecutive peaks can be without the calculated neutral-point shifting significantly - #self.pk_indices = [] - #self.pk_is_convex = [] + #self.pk_indices = deque([]) + #self.pk_is_convex = deque([]) def get_pkpk(self, data): - self.for_pkpk.insert(0, data) + self.for_pkpk.appendleft(data) #discards any data beyond two periods of the lowest-frequency wave if len(self.for_pkpk) > (self.max_pk_gap * 2): From c58665de0a0ef1429803ca8c57c62750ee457d4d Mon Sep 17 00:00:00 2001 From: Jeremy Malloch Date: Tue, 26 Jul 2016 09:48:02 -0400 Subject: [PATCH 02/11] Exponential moving average included in signals utilities, but not in EMG & ECG filter. --- .gitignore | 94 -------------------------------------- Python/ecg.py | 12 ++--- Python/emg.py | 81 ++++++++++++++++++++------------ Python/signal_utilities.py | 87 +++++++++++++++++++---------------- 4 files changed, 106 insertions(+), 168 deletions(-) delete mode 100644 .gitignore diff --git a/.gitignore b/.gitignore deleted file mode 100644 index 8d31bae..0000000 --- a/.gitignore +++ /dev/null @@ -1,94 +0,0 @@ -# Created by .ignore support plugin (hsz.mobi) -### Python template -# Byte-compiled / optimized / DLL files -__pycache__/ -*.py[cod] -*$py.class - -# C extensions -*.so - -# Distribution / packaging -.Python -env/ -build/ -develop-eggs/ -dist/ -downloads/ -eggs/ -.eggs/ -lib/ -lib64/ -parts/ -sdist/ -var/ -*.egg-info/ -.installed.cfg -*.egg - -# PyInstaller -# Usually these files are written by a python script from a template -# before PyInstaller builds the exe, so as to inject date/other infos into it. -*.manifest -*.spec - -# Installer logs -pip-log.txt -pip-delete-this-directory.txt - -# Unit test / coverage reports -htmlcov/ -.tox/ -.coverage -.coverage.* -.cache -nosetests.xml -coverage.xml -*,cover -.hypothesis/ - -# Translations -*.mo -*.pot - -# Django stuff: -*.log -local_settings.py - -# Flask stuff: -instance/ -.webassets-cache - -# Scrapy stuff: -.scrapy - -# Sphinx documentation -docs/_build/ - -# PyBuilder -target/ - -# IPython Notebook -.ipynb_checkpoints - -# pyenv -.python-version - -# celery beat schedule file -celerybeat-schedule - -# dotenv -.env - -# virtualenv -venv/ -ENV/ - -# Spyder project settings -.spyderproject - -# Rope project settings -.ropeproject - -.gitignore -.idea/ diff --git a/Python/ecg.py b/Python/ecg.py index 8015f58..29e9422 100644 --- a/Python/ecg.py +++ b/Python/ecg.py @@ -10,14 +10,14 @@ def __init__(self, sample_frequency=200, pkpk_threshold_ratio=2.0, reference_ava self.reference_available = reference_available self.initialization_period = self.sample_frequency * 3 - self.samples_between_beats = su.Basic_Stats(length=3) # sized two or three, averaged to get BPM + self.samples_between_beats = su.BasicStats(length=3) # sized two or three, averaged to get BPM # self.samples_between_beats.add_data(0) - self.signal_tracker = su.PkPk(sample_frequency=sample_frequency, min_frequency=self.sample_frequency / 20, - max_frequency=self.sample_frequency / 8) # PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS + self.signal_tracker = su.PeakToPeak(sample_frequency=sample_frequency, min_frequency=self.sample_frequency / 20, + max_frequency=self.sample_frequency / 8) # PLAY AROUND WITH MIN_FREQUENCY UNTIL IT WORKS self.BPM = 0 self.data_points_received = 0 - self.initialization_data = su.Basic_Stats(length=self.initialization_period) + self.initialization_data = su.BasicStats(length=self.initialization_period) self.average_pkpk = -1 self.pkpk_threshold_ratio = 2.0 self.autodetect_ratio = 0.2 @@ -26,7 +26,7 @@ def __init__(self, sample_frequency=200, pkpk_threshold_ratio=2.0, reference_ava # self.just_detected_beat = False #if true, prevents another beat from being detected for 1/2 of last beat-to-beat time self.autodetect_threshold = autodetect_threshold - self.init_maxs = su.Moving_Average(length=sample_frequency / 40, return_int=True) + self.init_maxs = su.MovingAverage(length=sample_frequency / 40, return_int=True) init_maxs_average = 0; # self.init_mins = su.Moving_Average(length = sample_frequency / 40, return_int = True) @@ -84,4 +84,4 @@ def get_BPM(self, data, reference_data=0): return self.BPM -# print "End of ECG module" +print "End of ECG module" diff --git a/Python/emg.py b/Python/emg.py index 6c4171f..2cd6bc4 100644 --- a/Python/emg.py +++ b/Python/emg.py @@ -2,71 +2,94 @@ from collections import deque -#Simple filter class assumes no low-frequency noise and data centred at 0. More complex filteres inherit from this. -class EMG_filter_basic(object): - def __init__(self, sample_frequency = 200, range_ = 0.1, reference_available = False): - self.log = deque([]) #used to store filtered data +class EMGFilterBasic(object): + """ + Simple moving average filter class that assumes no low-frequency noise and data centred at 0. + More complex filters inherit from this. + """ + + def __init__(self, sample_frequency=200, range_=0.1, reference_available=False): + self.log = deque([]) # Used to store filtered data self.reference_available = reference_available - self.MA = su.Moving_Average(length = sample_frequency * range_, return_int = True) + self.MA = su.MovingAverage(length=sample_frequency * range_, return_int=True) - if reference_available == True: - self.LPF_data = su.LPF(cutoff_frequency = 150, sample_frequency = sample_frequency) - self.LPF_reference = su.LPF(cutoff_frequency = 150, sample_frequency = sample_frequency) + if reference_available: + self.LPF_data = su.LowPassFilter(cutoff_frequency=150, sample_frequency=sample_frequency) + self.LPF_reference = su.LowPassFilter(cutoff_frequency=150, sample_frequency=sample_frequency) - #input filtered data def log_data(self, to_log): + """ + Input filtered data + """ self.log.appendleft(to_log) - #pop and return either one data point or a set of data points - def pop_log(self, num_to_pop = 1): + def pop_log(self, num_to_pop=1): + """ + Pop and return either one data point or a set of data points + """ if len(self.log) < 1 or num_to_pop > len(self.log): return elif num_to_pop <= 1: return self.log.pop() - elif num_to_pop > 1 and num_to_pop <= len(self.log): + elif 1 < num_to_pop <= len(self.log): to_return = self.log[-num_to_pop:] self.log = self.log[:-num_to_pop] return to_return - #rectifies data, assuming low frequency noise already removed (reference point of 0) def rectify(self, to_rectify): + """ + Rectifies data, assuming low frequency noise already removed (reference point of 0) + """ return abs(to_rectify) - #this function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it - def filter(self, data, reference_data = 0): + def filter(self, data, reference_data=0): + """ + This function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it + """ if not self.reference_available: filtered_value = self.MA.get_MA(self.rectify(data)) - self.log_data(filtered_value) - return filtered_value + if filtered_value: # If get_MA returned a value, log it and return it + self.log_data(filtered_value) + return filtered_value + return else: clean_data = self.LPF_data.filter(data) clean_reference = self.LPF_reference.filter(reference_data) filtered_value = self.MA.get_MA(self.rectify(clean_data - clean_reference)) self.log_data(filtered_value) - #print "Reference used" + # print "Reference used" return filtered_value -#extension of EMG_filter_basic that has tools to remove low-frequency noise and normalize the data -class EMG_filter(EMG_filter_basic): - def __init__(self, sample_frequency = 200, range_ = 0.5, min_EMG_frequency = 25, max_EMG_frequency = 150, reference_available = False): - EMG_filter_basic.__init__(self, sample_frequency = sample_frequency, range_ = range_, reference_available = reference_available) - #self.reference_available = reference_available - self.PkPk = su.PkPk(sample_frequency = sample_frequency, min_frequency = min_EMG_frequency, max_frequency = max_EMG_frequency) +class EMGFilter(EMGFilterBasic): + """ + Extension of EMGFilterBasic that has tools to remove low-frequency noise and normalize the data + """ - #this function is called to input raw data and return a filtered value, accounting for low-frequency noise and un-normalized data - def filter(self, data, reference_data = 0): + def __init__(self, sample_frequency=200, range_=0.5, min_EMG_frequency=25, max_EMG_frequency=150, + reference_available=False): + EMGFilterBasic.__init__(self, sample_frequency=sample_frequency, range_=range_, + reference_available=reference_available) + # self.reference_available = reference_available + self.PkPk = su.PeakToPeak(sample_frequency=sample_frequency, min_frequency=min_EMG_frequency, + max_frequency=max_EMG_frequency) + + def filter(self, data, reference_data=0): + """ + This function is called to input raw data and return a filtered value, accounting for low-frequency noise and un-normalized data + """ if self.reference_available == True: clean_data = self.LPF_data.filter(data) clean_reference = self.LPF_reference.filter(reference_data) data = clean_data - clean_reference - + neutral_value = self.PkPk.get_pkpk(data)['neutral'] filtered_value = self.MA.get_MA(self.rectify(data - neutral_value)) self.log_data(filtered_value) return filtered_value - #return super(EMG_filter, self).filter(data - neutral_value) + # return super(EMG_filter, self).filter(data - neutral_value) + -#print "End of EMG module" +print "End of EMG module" diff --git a/Python/signal_utilities.py b/Python/signal_utilities.py index b309dcf..b813375 100644 --- a/Python/signal_utilities.py +++ b/Python/signal_utilities.py @@ -1,27 +1,28 @@ from collections import deque -class Moving_Average(object): +class MovingAverage(object): """ Encapsulation of a key function that some filters require Note: MA stands for moving average """ - def __init__(self, length, return_int = False): + + def __init__(self, length, return_int=False): self.data = deque([]) self.data_sum = -1 self.length = length self.value = -1 self.return_int = return_int - def get_MA (self, data): + def get_MA(self, data): self.data.appendleft(data) self.data_sum += data if len(self.data) > self.length: self.data_sum -= self.data.pop() - if self.return_int == True: - self.value = self.data_sum // self.length #preserves integer form + if self.return_int: + self.value = self.data_sum // self.length # preserves integer form else: self.value = 1.0 * self.data_sum / self.length @@ -31,7 +32,7 @@ def get_MA (self, data): return self.value -class ExpMovingAverage: +class ExpMovingAverage(object): """ An exponential moving average filter with variable exponentiating factors. Does not return an exponential moving average while the log is being populated at first (it would be too @@ -39,52 +40,57 @@ class ExpMovingAverage: factors sum to 1) Note: As above, MA stands for moving average, and EMA stands for Exponential Moving Average """ - def __init__(self, expFactor_ = 0.5, window_ = 50): + + def __init__(self, expFactor_=0.5, window_=50): """ expFactor is what each term is multiplied by each time it is shift right in the current frame window is the number of samples that are taken into account when calculating the EMA + In order for this to work, two conditions must be met: 0 < expFactor < 1 1 < window """ if 0 < expFactor_ < 1: - self.expFactor= float(expFactor_) + self.expFactor = float(expFactor_) else: raise ValueError("expFactor must be between 0 and 1") - self.window = window_ # Number of samples that are factored into calculation - self.sumEMA = 0 # Initialize the sum of the EMA as zero - self.EMA = deque([], maxlen = self.window) # Initialize an empty deque iterable to contain the EMA calculated + if window_ <= 1: + raise ValueError("window must be greater than 1") + self.window = window_ # Number of samples that are factored into calculation + self.sumEMA = 0 # Initialize the sum of the EMA as zero + self.EMA = deque([], maxlen=self.window) # Initialize an empty deque iterable to contain the EMA calculated # for the past - self.log = deque([], maxlen = self.window) # Initialize an empty deque iterable of the unfiltered datapoints - self.finalFactor = self.expFactor**self.window # Precomputed weighting factor applied to the last entry in the + self.log = deque([], maxlen=self.window) # Initialize an empty deque iterable of the unfiltered datapoints + self.finalFactor = self.expFactor ** self.window # Precomputed weighting factor applied to the last entry in the # EMA sum - self.weightFactor = sum([self.expFactor ** x for x in range(1, self.window)]) * 1.0 # Value sumEMA is divided + self.weightFactor = sum([self.expFactor ** x for x in range(1, self.window)]) * 1.0 # Value sumEMA is divided # by so that sum of EMA weights is normalized to 1 - def get_EMA(self, dataPoint): + def get_EMA(self, data_point): """ Calculates the exponential moving average for the most recent points """ if len(self.log) < self.window - 1: # If the log will not be as long as the full window after the new dataPoint is added, no EMA will be # calculated or returned - self.sumEMA = self.expFactor * (dataPoint + self.sumEMA) - self.log.appendleft(dataPoint) + self.sumEMA = self.expFactor * (data_point + self.sumEMA) + self.log.appendleft(data_point) return else: - self.sumEMA = ((self.sumEMA - self.finalFactor * self.log[-1]) + dataPoint) * self.expFactor - self.log.appendleft(dataPoint) + self.sumEMA = ((self.sumEMA - self.finalFactor * self.log[-1]) + data_point) * self.expFactor + self.log.appendleft(data_point) return_value = self.sumEMA / self.weightFactor self.EMA.appendleft(return_value) return return_value -class LPF(Moving_Average): +class LowPassFilter(MovingAverage): """ Simplifies the creation of a moving average-based low pass filter """ - def __init__(self, cutoff_frequency, sample_frequency, return_int = False): + + def __init__(self, cutoff_frequency, sample_frequency, return_int=False): length = int(0.125 * sample_frequency / cutoff_frequency) - Moving_Average.__init__(self, length, return_int = return_int) + MovingAverage.__init__(self, length, return_int=return_int) def filter(self, to_filter): if self.length < 2: @@ -92,14 +98,15 @@ def filter(self, to_filter): else: return self.get_MA(to_filter) -class Basic_Stats(object): + +class BasicStats(object): def __init__(self, length): self.length = length self.data_points = deque([]) self.total_sum = -1 self.average = -1 self.stddev = -1 - + def add_data(self, data): self.data_points.appendleft(data) self.total_sum += data @@ -113,10 +120,11 @@ def get_average(self, data): return self.average -class PkPk(object): +class PeakToPeak(object): """ Peak to peak filter """ + def __init__(self, sample_frequency, min_frequency, max_frequency): self.for_pkpk = deque([]) self.min_frequency = min_frequency @@ -124,38 +132,39 @@ def __init__(self, sample_frequency, min_frequency, max_frequency): self.min_pk_gap = sample_frequency / max_frequency self.max_pk_gap = sample_frequency / min_frequency - #self.neutral = -1 #signal is shifted so that point point is zero - #self.min_EMG_frequency = min_EMG_frequency #signals below this frequency do not influence the peak to peak measurements - #self.max_EMG_frequency = max_EMG_frequency #signals above this frequency do not influence the peak to peak measurements - #self.min_pk_gap = 1.0/self.max_EMG_frequency * sample_frequency #the minimun distance in data points that two registered peaks can be - #self.max_pk_gap = 1.0/self.min_EMG_frequency * sample_frequency #the maximum distance two consecutive peaks can be without the calculated neutral-point shifting significantly + # self.neutral = -1 #signal is shifted so that point point is zero + # self.min_EMG_frequency = min_EMG_frequency #signals below this frequency do not influence the peak to peak measurements + # self.max_EMG_frequency = max_EMG_frequency #signals above this frequency do not influence the peak to peak measurements + # self.min_pk_gap = 1.0/self.max_EMG_frequency * sample_frequency #the minimun distance in data points that two registered peaks can be + # self.max_pk_gap = 1.0/self.min_EMG_frequency * sample_frequency #the maximum distance two consecutive peaks can be without the calculated neutral-point shifting significantly - #self.pk_indices = deque([]) - #self.pk_is_convex = deque([]) + # self.pk_indices = deque([]) + # self.pk_is_convex = deque([]) def get_pkpk(self, data): self.for_pkpk.appendleft(data) - #discards any data beyond two periods of the lowest-frequency wave - if len(self.for_pkpk) > (self.max_pk_gap * 2): + # discards any data beyond two periods of the lowest-frequency wave + if len(self.for_pkpk) > (self.max_pk_gap * 2): self.for_pkpk.pop() highest = max(self.for_pkpk) lowest = min(self.for_pkpk) - self.neutral = (highest + lowest)/2 + self.neutral = (highest + lowest) / 2 - to_return = {'max' : highest, 'min' : lowest, 'pkpk' : highest - lowest, 'neutral' : self.neutral} + to_return = {'max': highest, 'min': lowest, 'pkpk': highest - lowest, 'neutral': self.neutral} if len(self.for_pkpk) < self.min_pk_gap * 2: - return {'max' : -1, 'min' : -1, 'pkpk' : -1, 'neutral' : -1} + return {'max': -1, 'min': -1, 'pkpk': -1, 'neutral': -1} else: return to_return def find_peaks(self): - #cannot find another peak of oposite concavity until min_pk_gap data points past? + # cannot find another peak of oposite concavity until min_pk_gap data points past? pass def advanced_get_pkpk(self): pass -print "End" \ No newline at end of file + +print "End" From cb2d0c36e7bcd67df79db977b5737d55931cd94a Mon Sep 17 00:00:00 2001 From: Jeremy Malloch Date: Mon, 8 Aug 2016 11:15:57 -0400 Subject: [PATCH 03/11] Fixed log pop to work with deque, completed implementing EMG filter with exponential moving average filter --- Python/ecg.py | 6 +-- Python/emg.py | 87 ++++++++++++++++++++++++++++++++------ Python/signal_utilities.py | 29 +++++++++---- 3 files changed, 98 insertions(+), 24 deletions(-) diff --git a/Python/ecg.py b/Python/ecg.py index 29e9422..58f5b93 100644 --- a/Python/ecg.py +++ b/Python/ecg.py @@ -43,16 +43,16 @@ def initialize(self, data, reference_data=0): if self.autodetect_threshold == True: if len(self.init_maxs.data) == 0 or data >= self.init_maxs.data[-1]: - self.init_maxs_average = self.init_maxs.get_MA(data) + self.init_maxs_average = self.init_maxs.get_ma(data) # if len(self.init_mins.data) == 0 or data <= self.init_mins.data[-1]: - # self.init_mins_average = self.init_mins.get_MA(data) + # self.init_mins_average = self.init_mins.get_ma(data) if self.data_points_received == self.initialization_period - 1: self.pkpk_threshold_ratio = self.autodetect_ratio * self.init_maxs_average / self.average_pkpk # be able to set both thresholds # print "CALCULATED THRESHOLD: ", self.pkpk_threshold_ratio - def get_BPM(self, data, reference_data=0): + def get_bpm(self, data, reference_data=0): if self.reference_available == True: data = data - reference_data average_delay = 0 diff --git a/Python/emg.py b/Python/emg.py index 2cd6bc4..2065292 100644 --- a/Python/emg.py +++ b/Python/emg.py @@ -25,16 +25,15 @@ def log_data(self, to_log): def pop_log(self, num_to_pop=1): """ - Pop and return either one data point or a set of data points + Since you can't slice in a deque list a list, when popping more than one entries in a list you must repeatedly + call the pop deque method. """ - if len(self.log) < 1 or num_to_pop > len(self.log): - return - elif num_to_pop <= 1: + if num_to_pop_ema == 1: return self.log.pop() - elif 1 < num_to_pop <= len(self.log): - to_return = self.log[-num_to_pop:] - self.log = self.log[:-num_to_pop] - return to_return + to_return = [] + for _ in range(min(num_to_pop, len(self.log))): + to_return.append(self.log.pop()) + return to_return def rectify(self, to_rectify): """ @@ -47,8 +46,8 @@ def filter(self, data, reference_data=0): This function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it """ if not self.reference_available: - filtered_value = self.MA.get_MA(self.rectify(data)) - if filtered_value: # If get_MA returned a value, log it and return it + filtered_value = self.MA.get_ma(self.rectify(data)) + if filtered_value: # If get_ma returned a value, log it and return it self.log_data(filtered_value) return filtered_value return @@ -56,7 +55,7 @@ def filter(self, data, reference_data=0): else: clean_data = self.LPF_data.filter(data) clean_reference = self.LPF_reference.filter(reference_data) - filtered_value = self.MA.get_MA(self.rectify(clean_data - clean_reference)) + filtered_value = self.MA.get_ma(self.rectify(clean_data - clean_reference)) self.log_data(filtered_value) # print "Reference used" return filtered_value @@ -85,11 +84,75 @@ def filter(self, data, reference_data=0): data = clean_data - clean_reference neutral_value = self.PkPk.get_pkpk(data)['neutral'] - filtered_value = self.MA.get_MA(self.rectify(data - neutral_value)) + filtered_value = self.MA.get_ma(self.rectify(data - neutral_value)) self.log_data(filtered_value) return filtered_value # return super(EMG_filter, self).filter(data - neutral_value) +class EMGFilterBasicEMA(object): + """ + Simple exponential moving average filter class that assumes no low-frequency noise and data centred at 0. + """ + + def __init__(self, sample_frequency=200, range_=0.1, reference_available=False): + self.reference_available = reference_available + self.ema = su.ExpMovingAverage(frame_length=sample_frequency * range_) + + if reference_available: + self.LPF_data = su.LowPassFilter(cutoff_frequency=150, sample_frequency=sample_frequency) + self.LPF_reference = su.LowPassFilter(cutoff_frequency=150, sample_frequency=sample_frequency) + + def pop_log(self, num_to_pop=1): + """ + Pop and return either one data point or a set of data points + """ + return self.ema.pop_log(num_to_pop_ema=num_to_pop) + + def rectify(self, to_rectify): + """ + Rectifies data, assuming low frequency noise already removed (reference point of 0) + """ + return abs(to_rectify) + + def filter(self, data, reference_data=0): + """ + This function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it + """ + if not self.reference_available: + return self.ema.get_ema(self.rectify(data)) + + else: + clean_data = self.LPF_data.filter(data) + clean_reference = self.LPF_reference.filter(reference_data) + return self.ema.get_ema(self.rectify(clean_data - clean_reference)) + + +class EMGFilterEMA(EMGFilterBasicEMA): + """ + Extension of EMGFilterBasic that has tools to remove low-frequency noise and normalize the data + """ + + def __init__(self, sample_frequency=200, range_=0.5, min_EMG_frequency=25, max_EMG_frequency=150, + reference_available=False): + EMGFilterBasicEMA.__init__(self, sample_frequency=sample_frequency, range_=range_, + reference_available=reference_available) + self.reference_available = reference_available + self.PkPk = su.PeakToPeak(sample_frequency=sample_frequency, min_frequency=min_EMG_frequency, + max_frequency=max_EMG_frequency) + + def filter(self, data, reference_data=0): + """ + This function is called to input raw data and return a filtered value, accounting for low-frequency noise and un-normalized data + """ + if self.reference_available: + clean_data = self.LPF_data.filter(data) + clean_reference = self.LPF_reference.filter(reference_data) + data = clean_data - clean_reference + + neutral_value = self.PkPk.get_pkpk(data)['neutral'] + return self.ema.get_ema(self.rectify(data - neutral_value)) + + print "End of EMG module" diff --git a/Python/signal_utilities.py b/Python/signal_utilities.py index b813375..649f020 100644 --- a/Python/signal_utilities.py +++ b/Python/signal_utilities.py @@ -14,7 +14,7 @@ def __init__(self, length, return_int=False): self.value = -1 self.return_int = return_int - def get_MA(self, data): + def get_ma(self, data): self.data.appendleft(data) self.data_sum += data @@ -40,8 +40,7 @@ class ExpMovingAverage(object): factors sum to 1) Note: As above, MA stands for moving average, and EMA stands for Exponential Moving Average """ - - def __init__(self, expFactor_=0.5, window_=50): + def __init__(self, exponential_factor=0.5, frame_length=50): """ expFactor is what each term is multiplied by each time it is shift right in the current frame window is the number of samples that are taken into account when calculating the EMA @@ -49,13 +48,13 @@ def __init__(self, expFactor_=0.5, window_=50): 0 < expFactor < 1 1 < window """ - if 0 < expFactor_ < 1: - self.expFactor = float(expFactor_) + if 0 < exponential_factor < 1: + self.expFactor = exponential_factor else: raise ValueError("expFactor must be between 0 and 1") - if window_ <= 1: + if frame_length <= 1: raise ValueError("window must be greater than 1") - self.window = window_ # Number of samples that are factored into calculation + self.window = frame_length # Number of samples that are factored into calculation self.sumEMA = 0 # Initialize the sum of the EMA as zero self.EMA = deque([], maxlen=self.window) # Initialize an empty deque iterable to contain the EMA calculated # for the past @@ -65,7 +64,7 @@ def __init__(self, expFactor_=0.5, window_=50): self.weightFactor = sum([self.expFactor ** x for x in range(1, self.window)]) * 1.0 # Value sumEMA is divided # by so that sum of EMA weights is normalized to 1 - def get_EMA(self, data_point): + def get_ema(self, data_point): """ Calculates the exponential moving average for the most recent points """ @@ -82,6 +81,18 @@ def get_EMA(self, data_point): self.EMA.appendleft(return_value) return return_value + def pop_log(self, num_to_pop_ema=1): + """ + Since you can't slice in a deque list a list, when popping more than one entries in a list you must repeatedly + call the pop deque method. + """ + if num_to_pop_ema == 1: + return self.log.pop() + to_return = [] + for _ in range(min(num_to_pop_ema, len(self.log))): + to_return.append(self.log.pop()) + return to_return + class LowPassFilter(MovingAverage): """ @@ -96,7 +107,7 @@ def filter(self, to_filter): if self.length < 2: return to_filter else: - return self.get_MA(to_filter) + return self.get_ma(to_filter) class BasicStats(object): From 52403ac31d313d54d51243494c13cf8d483cdaaa Mon Sep 17 00:00:00 2001 From: Jeremy Malloch Date: Tue, 16 Aug 2016 09:41:53 -0400 Subject: [PATCH 04/11] Tested EMA filter against MA filter, graphed results in excel. --- Python/__init__.py | 0 Python/emg.py | 10 +++--- Python/signal_utilities.py | 2 +- Sample Signals/Comparison of Filters.xlsx | Bin 0 -> 980628 bytes .../{emgvalues1.csv => emg_values1.csv} | 0 filter_test.py | 31 ++++++++++++++++++ 6 files changed, 38 insertions(+), 5 deletions(-) create mode 100644 Python/__init__.py create mode 100644 Sample Signals/Comparison of Filters.xlsx rename Sample Signals/{emgvalues1.csv => emg_values1.csv} (100%) create mode 100644 filter_test.py diff --git a/Python/__init__.py b/Python/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/Python/emg.py b/Python/emg.py index 2065292..28ca424 100644 --- a/Python/emg.py +++ b/Python/emg.py @@ -96,9 +96,9 @@ class EMGFilterBasicEMA(object): Simple exponential moving average filter class that assumes no low-frequency noise and data centred at 0. """ - def __init__(self, sample_frequency=200, range_=0.1, reference_available=False): + def __init__(self, sample_frequency=200, range_=0.1, reference_available=False, exponential_factor_=0.5): self.reference_available = reference_available - self.ema = su.ExpMovingAverage(frame_length=sample_frequency * range_) + self.ema = su.ExpMovingAverage(frame_length=sample_frequency * range_, exponential_factor=exponential_factor_) if reference_available: self.LPF_data = su.LowPassFilter(cutoff_frequency=150, sample_frequency=sample_frequency) @@ -118,7 +118,8 @@ def rectify(self, to_rectify): def filter(self, data, reference_data=0): """ - This function is called to input raw data. It returns a filtered value if it has enough samples, and also logs it + This function is called to input raw data. It returns a filtered value if it has enough samples, and also logs + it """ if not self.reference_available: return self.ema.get_ema(self.rectify(data)) @@ -144,7 +145,8 @@ def __init__(self, sample_frequency=200, range_=0.5, min_EMG_frequency=25, max_E def filter(self, data, reference_data=0): """ - This function is called to input raw data and return a filtered value, accounting for low-frequency noise and un-normalized data + This function is called to input raw data and return a filtered value, accounting for low-frequency noise and + un-normalized data """ if self.reference_available: clean_data = self.LPF_data.filter(data) diff --git a/Python/signal_utilities.py b/Python/signal_utilities.py index 649f020..c2d6db7 100644 --- a/Python/signal_utilities.py +++ b/Python/signal_utilities.py @@ -54,7 +54,7 @@ def __init__(self, exponential_factor=0.5, frame_length=50): raise ValueError("expFactor must be between 0 and 1") if frame_length <= 1: raise ValueError("window must be greater than 1") - self.window = frame_length # Number of samples that are factored into calculation + self.window = int(frame_length) # Number of samples that are factored into calculation self.sumEMA = 0 # Initialize the sum of the EMA as zero self.EMA = deque([], maxlen=self.window) # Initialize an empty deque iterable to contain the EMA calculated # for the past diff --git a/Sample Signals/Comparison of Filters.xlsx b/Sample Signals/Comparison of Filters.xlsx new file mode 100644 index 0000000000000000000000000000000000000000..e120e2b1870b51d59dddfbec5f5663449ba255fc GIT binary patch literal 980628 zcmeFZ3p`Zqzc)NW5*i|kn8=|LDkNg2QY2}VqKHY7Q%vPFWz0B_V>&Bth9n8exg2JU zaj3iGe2zI)6tY$^R?Lidb^rIX_kQ;Ox%X$k`+4{K+0XO8myb1TX4bl9UBC4^e6R2C zcU_M5;u1=Tm55ac1VR%bQu*|WDuzI4!*3N4t5&#KHx`s_pVC6!KUdMG#+VaLw)Ss-SgACbJ6NBe zbbHNX8TX?7HcY(-<%hn-OqkNfEf|;AS_Tc?d-`BUY4EKb6dONt`v9KoNB&{b*!o^LZ`3Ep)0?#51GC5N@oN^ zaVT~GMgM&PIXz`ufq(y+X0>_g8)lebh)wNz*>Nwrmr>7mvZ1KPH|-HyT6r@3!EDmd 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