## Transient Reconstruction

Purpose

Description

Macro Synopsis

Modules

Related Functions

### Purpose

Wavelet Packet Time-Selective Transient Reconstruction (WTT)

### Description

"Transient Reconstruction" can recover a transient from a signal. The transient is regarded as unknown additive short-time component within an otherwise stationary background signal.
The basic idea behind "Wavelet transient reconstruction (WTT)" is to analyse whether the energy distribution
in the coefficients of the Wavelet packet decomposition, boxes is uniform or locally concentrated.
In the latter case, it is assumed that these coefficients belong to the
transient.

"Transient Reconstruction" is implemented as a macro function using Wavelet packet decomposition and Wavelet transient reconstruction (WTT). See these functions for details on the underlying algorithm and further information.
The parameters of "Transient Reconstruction" are

- number
`n` of octaves (decomposition depth).
- number
`m` of subboxes,
- factor
`f` for box selection (control threshold),
- maximum number
`maxoct` of octaves used for reconstruction,
- the
`drop` option, determining whether subboxes with low energy are to be dropped or not. If this option is checked only the two sub-boxes with
the highest fluctuations are taken into account for recontruction.

### Macro Synopsis

`y = TransReconstruct(x,n,m,f,maxoct,drop);`

signal x,y;

int n,m,maxoct;

float f;

bool drop;

### Modules

Wavelet

### Related Functions

Wavelet transient reconstruction (WTT), Wavelet packet decomposition.