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import librosa | ||
import numpy as np | ||
import scipy.signal as scipy_signal | ||
from scipy import ndimage | ||
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def perform_stft(SIGNAL, SAMPLE_RATE=44100): | ||
""" | ||
Function that's main purpose is for reverse-engineering the birdnet FG-BG separation technique | ||
SIGNAL (list, np.ndarray) | ||
- Audio Signal the STFT is being performed on | ||
SAMPLE_RATE (int) | ||
- Nyquist sample rate to load the clip in as | ||
returns: | ||
- floating point value that is a ratio between the length of the clip and the length of the x-axis of the spectrogram | ||
- Numpy array representing the normalized magnitude stft of the clip from clip_path | ||
""" | ||
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assert isinstance(SIGNAL, list) or isinstance(SIGNAL, np.ndarray) | ||
assert isinstance(SAMPLE_RATE, int) | ||
assert SAMPLE_RATE > 0 | ||
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# parameters set by "Audio Based Bird Species Identification using Deep Learning Techniques" | ||
window_size = 512 | ||
overlap_size = int(window_size*0.75) | ||
f,t,z = scipy_signal.stft(SIGNAL,fs=SAMPLE_RATE,window=np.hanning(window_size),noverlap=overlap_size,nperseg=window_size) | ||
# normalizing [0,1] | ||
z = np.abs(z) | ||
z = z/np.max(z) | ||
clip_stft_time_ratio = len(SIGNAL)/z.shape[1] | ||
return clip_stft_time_ratio, z | ||
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def calculate_medians(stft): | ||
""" | ||
Function that computes the frequency and temporal medians of a 2D stft spectrogram. | ||
Used in binary thresholding for FG-BG separation | ||
stft (ndarray) | ||
- numpy array of spectrogram being processed | ||
returns: | ||
- median values of each spectrogram column (time medians) | ||
- median values of each spectrogram row (frequency medians) | ||
""" | ||
assert isinstance(stft,np.ndarray) | ||
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freq_medians = np.median(stft,axis=1) | ||
time_medians = np.median(stft,axis=0) | ||
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return time_medians, freq_medians | ||
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def binary_thresholding(stft, time_medians, freq_medians, multiplier_treshold=3.0): | ||
""" | ||
Primary Foreground-background separation step used in BirdNET. | ||
stft (ndarray) | ||
- numpy array of spectrogram being processed | ||
time_medians (ndarray) | ||
- vector of medians wrt time of stft | ||
freq_medians (ndarray) | ||
- vector of medians wrt frequency of stft | ||
multiplier_threshold (int, float) | ||
- default = 3.0 | ||
- a constant that is multiplied by both the time and frequency medians to decide | ||
whether or not a pixel is foreground or not | ||
returns: | ||
- binary ndarray same size as stft that contains 1's for foreground and 0's for background | ||
""" | ||
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assert isinstance(stft, np.ndarray) | ||
assert isinstance(time_medians, np.ndarray) | ||
assert isinstance(freq_medians, np.ndarray) | ||
assert isinstance(multiplier_treshold, float) or isinstance(multiplier_treshold, int) | ||
assert multiplier_treshold > 0 | ||
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binary_mask_time = np.zeros(stft.shape) | ||
binary_mask_freq = np.zeros(stft.shape) | ||
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# building time mask | ||
for column in range(stft.shape[1]): | ||
binary_mask_time[:,column] = stft[:,column] >= multiplier_treshold*time_medians[column] | ||
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# building frequency mask | ||
for row in range(stft.shape[0]): | ||
binary_mask_freq[row,:] = stft[row,:] >= multiplier_treshold*freq_medians[row] | ||
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# performing a element-wise and operation | ||
return (binary_mask_freq*binary_mask_time).astype(np.uint8) | ||
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def binary_morph_opening(binary_stft, kernel_size=4): | ||
""" | ||
Function that performs the binary morphological and followed by an or operation, commonly referred to | ||
as erosion and dilation respectively. Called an opening operation to people familiar with image processing | ||
binary_stft (ndarray) | ||
- foreground (high power) pixels represented as 1, background (lower power) represented as 0. | ||
kernel_shape (int) | ||
- defines the dimensions of the 2D binary morph kernel. | ||
returns: | ||
- binary stft image after a binary morphological opening operation determined by the kernel shape | ||
""" | ||
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assert isinstance(binary_stft, np.ndarray) | ||
assert isinstance(kernel_size, int) | ||
assert kernel_size > 0 | ||
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kernel = np.ones( (kernel_size, kernel_size), np.uint8) | ||
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erode = ndimage.binary_erosion(binary_stft, kernel, iterations=1) | ||
dilate = ndimage.binary_dilation(erode, kernel, iterations=1) | ||
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return dilate.astype(np.uint8) | ||
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def temporal_thresholding(opened_binary_stft): | ||
""" | ||
Function that converts the 2D binary thresholded stft into a temporal indicator vector | ||
opened_binary_stft (ndarray) | ||
- binary foreground-background separated stft | ||
returns: | ||
- binary temporal indicator vector that signifies the temporal components with high power | ||
""" | ||
time_axis_sum = np.sum(opened_binary_stft, axis=0) | ||
indicator_vector = time_axis_sum > 0 | ||
return indicator_vector.astype(np.uint8) | ||
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def indicator_vector_processing(indicator_vector, kernel_size=4): | ||
""" | ||
Function that performs additional dilations to the temporal indicator vector, expands on smaller relevant high-power sections | ||
indicator_vector (ndarray) | ||
- Numpy binary vector indicating high power temporal regions from the STFT | ||
kernel_size (int) | ||
- default: 4 | ||
- determines the length of the kernel that performs the dilation (1, kernel_size) | ||
returns: | ||
- indicator vector that has been subjected to 2 binary morphological dilation (or) operations based on 1D kernel | ||
""" | ||
assert isinstance(indicator_vector, np.ndarray) | ||
assert isinstance(kernel_size, int) | ||
assert kernel_size > 0 | ||
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kernel = np.ones((1, kernel_size), np.uint8) | ||
dilate = ndimage.binary_dilation(indicator_vector.reshape((1,indicator_vector.shape[0])), kernel, iterations=2) | ||
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return dilate.astype(np.uint8) | ||
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def FG_BG_local_score_arr(SIGNAL, isolation_parameters, normalized_sample_rate): | ||
""" | ||
Function that reverse-engineers that uses the BirdNET Signal-to-noise-ratio technique to build local score arrays out of audio clips | ||
SIGNAL (list, np.ndarray) | ||
- Audio Signal the STFT is being performed on | ||
SAMPLE_RATE (int) | ||
- Nyquist sampling rate at which to process the audio clip | ||
returns: | ||
- ratio between the length of the audio clip and the stft time axis | ||
- Numpy array of the local score array derived from median thresholding | ||
""" | ||
assert isinstance(SIGNAL, list) or isinstance(SIGNAL, np.ndarray) | ||
assert isinstance(normalized_sample_rate, int) | ||
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time_ratio, stft = perform_stft(SIGNAL, normalized_sample_rate) | ||
time_medians, freq_medians = calculate_medians(stft) | ||
binary_stft = binary_thresholding(stft, time_medians, freq_medians, isolation_parameters["power_threshold"]) | ||
opened_binary_stft = binary_morph_opening(binary_stft, isolation_parameters["kernel_size"]) | ||
temporal_indicator_vector = temporal_thresholding(opened_binary_stft) | ||
dilated_indicator_vector = indicator_vector_processing(temporal_indicator_vector, isolation_parameters["kernel_size"]) | ||
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return time_ratio, dilated_indicator_vector.reshape((dilated_indicator_vector.shape[1],)) | ||
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# sanity check | ||
#x = np.array([0,1,1,1,1,1,0]).reshape((1,7)) | ||
#print(x) | ||
#print(indicator_vector_processing(x)) |
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