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+#!/usr/bin/awk -f
+
+### gaussian.awk
+# generate a Gaussian window
+# https://en.wikipedia.org/wiki/Window_function
+
+BEGIN {
+
+ N = ARGV[1]
+ M = 0.5*(N - 1)
+
+ # sigma <= 0.5
+ sigma = 0.4
+
+ for (n=0; n<N; n++) {
+ if (N > 1 && M > 0) {
+ e[n] = (n - M)/(sigma*M)
+ w[n] = exp(-0.5*e[n]*e[n])
+ print n, w[n]/M
+ }
+ else {
+ print n, 1.0
+ }
+ }
+
+}