import numpy as np from IPython import embed from scipy.signal import convolve import matplotlib.mlab as mlab def avgNestedLists(nested_vals): """ Averages a 2-D array and returns a 1-D array of all of the columns averaged together, regardless of their dimensions. """ output = [] maximum = 0 for lst in nested_vals: if len(lst) > maximum: maximum = len(lst) for index in range(maximum): # Go through each index of longest list temp = [] for lst in nested_vals: # Go through each list if index < len(lst): # If not an index error temp.append(lst[index]) output.append(np.nanmean(temp)) return output def gaussian_convolve(spike_train, fxn, sampling_rate): all_convolve_spikes = [] trial_length = int((spike_train[-1] - spike_train[0]) * sampling_rate) spike_train = spike_train - spike_train[0] # changing spike train to start at 0 (subtracting baseline) trial_time = np.arange(0, (trial_length + 1), 1) trial_bool = np.zeros(len(trial_time)) # Boolean list in length of trial length, where 1 means spike happened, 0 means no spike spike_indx = (spike_train * sampling_rate).astype(np.int) trial_bool[spike_indx] = 1 # trial_bool = trial_bool[30000:(len(trial_bool)-30000)] convolve_spikes = np.asarray( [convolve(trial_bool, fxn, mode='valid')]) # convolve gaussian with boolean spike list all_convolve_spikes.append(convolve_spikes[0, :]) avg_convolve_spikes = avgNestedLists(all_convolve_spikes) return avg_convolve_spikes def fourier_psd(avg_convolve_spikes, sampling_rate): p, freq = mlab.psd(avg_convolve_spikes, NFFT=sampling_rate * 3, noverlap=sampling_rate * 1.5, Fs=sampling_rate, detrend=mlab.detrend_mean) std_four = np.std(freq[5:]) mn_four = np.mean(freq) return p, freq, std_four, mn_four