- Consider a 1-D signal F. The zeroth order scattering coefficient can be obtained by convolving F with the scaling function
to obtain S[0], the low frequency components at level 0. To obtain the high frequency components. we convolve F with the filter bank coefficients
, where j is the level and k is the filter bank index, and take modulus of the outputs to extract 1st order scalogram coefficients U[1] or the high frequency components at level 1. To obtain the low frequency components at level 1, one can convolve the modulus values with the scaling function
to obtain the values S[1]. In this way we keep breaking down the signal and keep repeating the process at each level. The scalogram coefficients U extract the high frequency or detailed components, while the scattering coefficients S extract the low frequency components at every level of resolution.
- The 'FilterBank' value depends on the waveletScattering object sf. Changing the sf object changes the number of filter banks.
What is the difference between scalogram and scatteing coeffcients??
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figure
scattergram(sf,U,'FilterBank',1)
What's the difference between scalogram and scatterinf coefficients ?
Also, why can I only choose a number between 0 and 2 as the 'FilterBank' value?
I ahve been reading documentation for a while but I do not quite understand the answer provided in the wavelet transform page.
I would like to know which part of the signal the coefficients represent and what is the difference between the two types of coefficients.
Thanks!
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Pratyush Roy
2020-9-3
You can go through the following documentation link for further help:
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