From b60f09401a15721f626bcb7c852f68b82fe39c1c Mon Sep 17 00:00:00 2001
From: wukong <wukong@longaeva>
Date: Sun, 3 May 2026 13:10:31 -0700
Subject: replaced sum[1-4].awk with serial and columnar versions; minor merge
 updates between fir_window scripts;

---
 fir_window_hamming.awk | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

(limited to 'fir_window_hamming.awk')

diff --git a/fir_window_hamming.awk b/fir_window_hamming.awk
index 51eb0d8..95bd827 100644
--- a/fir_window_hamming.awk
+++ b/fir_window_hamming.awk
@@ -1,7 +1,7 @@
 #!/usr/bin/awk -f
 
 ### fir_window_hamming.awk
-# generate a Hamming window
+# generate a Hamming raised cosine FIR window
 # R.W. Hamming, 'Digital Filters': H = '0.23 0.54 0.23'
 # https://en.wikipedia.org/wiki/Window_function provides a few values for the
 # 'a0' and 'a1' parameters of the raised cosine.
@@ -29,7 +29,7 @@ BEGIN {
 
     # window interval goes from -M to M
     M = 0.5*(N - 1)
-    pi = 4.0*atan2(1.0,1.0)
+    pi = 4.0*atan2(1.0, 1.0)
 
     for (n=-M; n<=M; n++) {
         if (N > 1 && M > 0) {
-- 
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