WFBT2FILTERBANK - WFBT equivalent non-iterated filterbank

Usage

[g,a] = wfbt2filterbank(wt)

Input parameters

Output parameters

Description

[g,a]=wfbt2filterbank(wt) calculates the impulse responses g and the subsampling factors a of non-iterated filterbank, which is equivalent to the wavelet filterbank tree described by wt used in wfbt. The returned parameters can be used directly in filterbank and other routines.

[g,a]=wfbt2filterbank({w,J,'dwt'}) does the same for the DWT (fwt) filterbank tree.

Please see help on wfbt for description of wt and help on fwt for description of w and J.

The function additionally support the following flags:

'freq'`(default),'nat'`

The filters are ordered to produce subbands in the same order as wfbt with the same flag.

'scaling_notset'`(default),'noscale','scale','sqrt'`

Support for scaling flags as described in uwfbt. By default, the returned filterbank g and a is equivalent to wfbt, passing any of the non-default flags results in a filterbank equivalent to uwfbt i.e. scaled and with a(:)=1.

Examples:

The following two examples create a multirate identity filterbank using a tree of depth 3. In the first example, the filterbank is identical to the DWT tree:

[g,a] = wfbt2filterbank({'db10',3,'dwt'});
filterbankfreqz(g,a,1024,'plot','linabs','posfreq');

In the second example, the filterbank is identical to the full wavelet tree:

[g,a] = wfbt2filterbank({'db10',3,'full'});
filterbankfreqz(g,a,1024,'plot','linabs','posfreq');