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@ -31,10 +31,29 @@ def smoothfft2(xs, ys, bw=1, precision=512, compensate=True):
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# before optimizations: dist = np.abs(np.log2(xs2/(x + 1e-35)))/bw
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dist = np.abs(log2_xs2 - np.log2(x + 1e-35))/bw
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# window = np.maximum(0, 1 - dist) # triangle window
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window = np.exp(-dist**2/(0.5/2)) # gaussian function (non-truncated)
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window = np.exp(-dist**2/(0.5/2)) # gaussian window (non-truncated)
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ys2 += ys[i]*window
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if compensate:
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_, temp = smoothfft2(xs, np.ones(len(xs)),
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bw=bw, precision=precision, compensate=False)
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ys2 /= temp
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return xs2, ys2
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def smoothfft3(ys, bw=1, precision=512):
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"""performs log-lin smoothing on magnitude data"""
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size = len(ys)
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xs = np.arange(0, 1, 1/size)
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xs2 = np.logspace(-np.log2(size), 1, precision, base=2)
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ys2 = np.zeros(precision)
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comp = np.zeros(precision)
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log2_xs2 = np.log2(xs2)
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for i, x in enumerate(xs):
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dist = np.abs(log2_xs2 - np.log2(x + 1e-35)) / bw
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window = np.exp(-dist**2 * 4) # gaussian window (non-truncated)
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comp += window
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ys2 += ys[i] * window
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return xs2, ys2 / comp
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