## Show wavelet

Purpose

Description

Macro Synopsis

Modules

Related Functions

### Purpose

Show mother wavelet or scaling function of the selected wavelet

### Description

Wavelet functions are given by

where **a** denotes the scaling parameter that expands or shrinks the
wavelet signal along the t axis, setting the resolution of the wavelet, and
**b** is the translation parameter, representing the time-depencency of
the transform.

They are generated by a mother wavelet that meets the
condition

with being the Fourier transform of .
"Show wavelet" computes the mother wavelet or the scaling functions of the current wavelet using a cascade algorithm.

The parameters of "Show wavelet" are

- the option
`func` that determines whether
- the "Scaling function" (0) or
- the "Mother Wavelet" (1)

is to be computed;
- the option (
`transtype`) which gives the type of transform:
- "Analysis" (0) or
- "Synthesis" (1),

- number of octaves (n): number of steps for the cascade algorithm

### Macro Synopsis

`y = ShowWavelet(func,transtype,n);`

signal y;

option function,transtype;

int n;

### Modules

Wavelet

### Related Functions

Define wavelet, Load wavelet,
Save wavelet, Save wavelet,
Decompose, Reconstruct.