framebounds

Obtain the frame bounds for the orthogonal Daubechies db6 wavelet.

wv = 'db6';
fb = dwtfilterbank('Wavelet',wv)

fb = 
  dwtfilterbank with properties:

                Wavelet: 'db6'
           SignalLength: 1024
                  Level: 6
      SamplingFrequency: 1
             FilterType: 'Analysis'
    CustomWaveletFilter: []
    CustomScalingFilter: []

[a,b] = framebounds(fb)

a = 
1.0000

b = 
1.0000

The filter bank has the default filter type Analysis. Create a second filter bank using the same orthogonal wavelet but with the filter type Synthesis. Obtain the frame bounds of this filter bank, which are equal to the previous frame bounds.

fbSynthesis = dwtfilterbank('Wavelet',wv,'FilterType','Synthesis');
[a2,b2] = framebounds(fbSynthesis)

a2 = 
1.0000

b2 = 
1.0000

Create a filter bank for the biorthogonal bior3.9 wavelet. Obtain the frame bounds. The frame bounds are not equal to 1.

wv = 'bior3.9';
fbA = dwtfilterbank('Wavelet',wv);
[c,d] = framebounds(fbA)

c = 
0.6250

d = 
3.2982

Create a second filter bank using the same biorthogonal wavelet but with the filter type Synthesis. Obtain the frame bounds of this filter bank. Since the wavelet is biorthogonal, the frame bounds change.

fbASynthesis = dwtfilterbank('Wavelet',wv,'FilterType','Synthesis');
[c2,d2] = framebounds(fbASynthesis)

c2 = 
0.5502

d2 = 
2.0015