Note: This page has been translated by MathWorks. Please click here

To view all translated materials including this page, select Japan from the country navigator on the bottom of this page.

To view all translated materials including this page, select Japan from the country navigator on the bottom of this page.

Inverse continuous 1-D wavelet transform

`xrec = icwt(wt)`

`xrec = icwt(wt,wname)`

`xrec = icwt(wt,f,freqrange)`

`xrec = icwt(wt,period,periodrange)`

`xrec = icwt(___,Name,Value)`

inverts the
continuous wavelet transform (CWT) coefficient matrix `xrec`

= icwt(`wt`

)`wt`

using
default values. `icwt`

assumes that you obtained the CWT using
`cwt`

with the default Morse wavelet.
This wavelet has a symmetry of 3 and a time bandwidth of 60.
`icwt`

also assumes that the CWT uses default scales. If
`wt`

is a 2-D matrix, `icwt`

assumes that
the CWT was obtained from a real-valued signal. If `wt`

is a 3-D
matrix, `icwt`

assumes that the CWT was obtained from a
complex-valued signal. For a 3-D matrix, the first page of the
`wt`

is the CWT of the positive (counterclockwise) component
and the second page of `wt`

is the negative (clockwise)
component. The pages represent the analytic and anti-analytic parts of the CWT,
respectively.

returns
the inverse CWT with additional options specified by one or more `xrec`

= icwt(___,`Name,Value`

)`Name,Value`

pair
arguments.

[1] Lilly, J. M., and S. C. Olhede. “Generalized Morse
Wavelets as a Superfamily of Analytic Wavelets.” *IEEE
Transactions on Signal Processing*. Vol. 60, No. 11, 2012,
pp. 6036–6041.

[2] Lilly, J. M., and S. C. Olhede. “Higher-Order
Properties of Analytic Wavelets.” *IEEE Transactions
on Signal Processing*. Vol. 57, No. 1, 2009, pp. 146–160.

[3] Lilly, J. M. *jLab: A data analysis package
for Matlab*, version 1.6.2. 2016. http://www.jmlilly.net/jmlsoft.html.

Was this topic helpful?