waveslim (version 1.8.5)

hilbert.filter: Select a Hilbert Wavelet Pair

Description

Converts name of Hilbert wavelet pair to filter coefficients.

Usage

hilbert.filter(name)

Value

List containing the following items:

L

length of the wavelet filter

h0,g0

low-pass filter coefficients

h1,g1

high-pass filter coefficients

Arguments

name

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

Author

B. Whitcher

Details

Simple switch statement selects the appropriate HWP. There are two parameters that define a Hilbert wavelet pair using the notation of Selesnick (2001,2002), \(K\) 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 Hilbert transform pairs of wavelet bases. IEEE Transactions on Signal Processing 50(5), 1144--1152.

See Also

wave.filter

Examples

hilbert.filter("k3l3")
hilbert.filter("k3l5")
hilbert.filter("k4l2")
hilbert.filter("k4l4")