Inverse Forward Wavelet Transform (translation invariant).

Description

Compute the Inverse Forward Wavelet Transform of a signal $f$ for the Meyer wavelet (translation invariant).

Usage

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IFWT_TI(f_fft, psyJ_fft, lev, thr, nn, SOFT = FALSE)

Arguments

f_fft

vector of the Fourier coefficient of $f$

psyJ_fft

vector of the Fourier coefficient of the Meyer wavelet.

lev

resolution level

thr

threshold (has lentgh=1)

nn

sample size

SOFT

if SOFT=TRUE, uses the soft thresholding policy as opposed to the hard (SOFT=FALSE, the default).

Value

Inverse Forward Wavelet Transform of a signal $f$, after thresholding.

Author(s)

Marc Raimondo

References

Raimondo, M. and Stewart, M. (2007), "The WaveD Transform in R", Journal of Statistical Software.

See Also

WaveD, ~~~

Examples

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psyJ_fft=wavelet_YM(4,10,3);
f_fft=fft(sin(2*pi*seq(0,1,le=1024)));
IFWT_TI(f_fft, psyJ_fft, 4, 0, 1024)

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