hamming.awk


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#!/usr/bin/awk -f

### hamming.awk
# generate a Hamming window
# https://en.wikipedia.org/wiki/Window_function provides a few values for the
# 'a0' and 'a1' parameters of the raised cosine.

BEGIN {

    ARGV[1] ? N = ARGV[1] : N = 0
    ARGV[2] ? OFMT = "%." ARGV[2] "g" : OFMT = "%g"

    # window interval goes from -M to M
    M = 0.5*(N - 1)
    pi = 4*atan2(1,1)

    ### R.W. Hamming, "Digital Filters"
    # H = "0.23 0.54 0.23"

    a0 = (25.0/46.0)
    a1 = (21.0/46.0)

    ### optimal values for equal-ripple
    #a0 = 0.53836
    #a1 = 0.46164

    ### VonHann
    #a0 = 0.5
    #a1 = 0.5

    for (n=-M; n<=M; n++) {
        if (N > 1 && M > 0) {
            w[n] = a0 + a1*cos((pi*n)/M)
            print n + M, w[n]/M
        }
        else {
            print n + M, 1.0
        }
    }

}