waveslim (version 1.4)

hilbert.filter: Select a Hilbert Wavelet Pair

Description

Converts name of Hilbert wavelet pair to filter coefficients.

Usage

hilbert.filter(name)

Arguments

name

Character string of Hilbert wavelet pair, see acceptable names below (e.g., "k3l3").

Value

• List containing the following items:
• L
  length of the wavelet filter
• h0,g0
  low-pass filter coefficients
• h1,g1
  high-pass filter coefficients

Details

Simple switch statement selects the appropriate HWP. There are two parameters that define a Hilbert wavelet pair using the notation of Selesnick (200X), $K$ and $L$. Currently, the only implemented combinations $(K,L)$ are (3,3), (3,5), (4,2) and (4,4).

References

Selesnick, I.W. (2001). Hilbert transform pairs of wavelet bases. IEEE Signal Processing Letters/~8(6), 170--173.

Selesnick, I.W. (2002). The design of approximate {H}ilbert transform pairs of wavelet bases. IEEE Transactions on Signal Processing/~50(5), 1144--1152.

See Also

wave.filter