# imodwt

Inverse maximal overlap discrete wavelet transform

## Syntax

## Description

reconstructs
the signal based on the maximal overlap discrete wavelet transform (MODWT)
coefficients in `xrec`

= imodwt(`w`

)`w`

. By default, `imodwt`

assumes that you obtained `w`

using the `'sym4'`

wavelet with periodic boundary handling. If you do not modify the coefficients,
`xrec`

is a perfect reconstruction of the signal.

uses
the reflection boundary condition in the reconstruction. If you specify `xrec`

= imodwt(___,'reflection')`'reflection'`

, `imodwt`

assumes
that the length of the original signal length is one half the number
of columns in the input coefficient matrix. By default, ` imodwt`

assumes
periodic signal extension at the boundary.

You must enter the entire character vector `'reflection'`

. If you
added a wavelet named `'reflection'`

using the wavelet manager, you
must rename that wavelet prior to using this option. `'reflection'`

may be placed in any position in the input argument list after
`x`

.

## Examples

## Input Arguments

## Output Arguments

## References

[1] Percival, Donald B., and Andrew T. Walden. *Wavelet Methods for Time Series
Analysis*. Cambridge Series in Statistical and Probabilistic Mathematics.
Cambridge ; New York: Cambridge University Press, 2000.

[2] Mesa, Hector. “Adapted
Wavelets for Pattern Detection.” In *Progress in Pattern Recognition, Image
Analysis and Applications*, edited by Alberto Sanfeliu and Manuel Lazo
Cortés, 3773:933–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005.
https://doi.org/10.1007/11578079_96.

## Extended Capabilities

## Version History

**Introduced in R2015b**