### Software

#### MATLAB^{®} Routines

Function to generate half-band product filters (M)

Polyphase implementation of a filter (M)

Computation of Daubechies’ filter coefficients (cepstrum method) (M)

Computation of minimum phase spectral factors (cepstrum method) (M)

Computation of scaling function and wavelet by recursion (M)

#### MATLAB^{®} Examples

Example 1: Basic filters, upsampling and downsampling (M)

Example 2: Product filter examples (M) [Needs prodfilt.m (M)]

Example 3: 1-D signal analysis (M)

Example 4: 2-D image analysis (M)

Example 5: Polyphase filter implementation (M) [Needs polyfilt.m (M)]

Example 6: Generation of orthogonal scaling functions and wavelets. (M) [Needs phivals.m (M)]

Example 7: Generation of biorthogonal scaling functions and wavelets. (M) [Needs biphivals.m (M)]

Example 8: Mallat pyramid decomposition for functions in L^2 (M)

Example 9: Approximation power of wavelet bases (M)

Example 10: Polynomial cancellation in filter banks (M)

Example 11: Smoothness of wavelet bases (M)

Example 12: Treatment of boundaries (M)

#### Java^{®} Applets

Inner Products of Functions

Sums of a Trigonometric Series

Fourier Series

Gibbs *Phenomenon*

Aliasing