Matlab中logTransform,Natural logarithm of scattering transform

This example shows how to obtain the natural logarithm of scattering coefficients.

Load a noisy Doppler signal and create a wavelet time scattering network that can be used with the signal. Return the scattering coefficients.

load noisdopp

sf = waveletScattering(‘SignalLength’,numel(noisdopp));

S = scatteringTransform(sf,noisdopp);

Calculate the natural logarithm of the scattering coefficients. Display the number of rows in the table containing the first-order scattering coefficients.

slog = log(sf,S);

coefOrder = 1;

display([‘Number of rows: ‘,…

num2str(size(S{coefOrder+1},1))])

Number of rows: 41

Choose a row from the first-order scattering coefficients table. Take the natural logarithm of the absolute value of the scattering coefficients in that row. Compare with the corresponding row in slog and confirm they are equal.

row = 23;

tmp1 = slog{coefOrder+1}.signals{row};

tmp2 = log(abs(S{coefOrder+1}.signals{row}));

disp([‘Max Difference of Scattering Coefficients: ‘,…

num2str(max(abs(tmp1(:)-tmp2(:))))])

Max Difference of Scattering Coefficients: 0

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