From c0500652b0cd057cd0d1cd800f57b2c6f76ada99 Mon Sep 17 00:00:00 2001
From: Haakon Ludvig Langeland Ervik
 <45243236+haakon-e@users.noreply.github.com>
Date: Tue, 28 Nov 2023 16:38:19 -0800
Subject: [PATCH] update tukey docs

fix docs typos in definition of tukey window
---
 src/windows.jl | 20 +++++++++++---------
 1 file changed, 11 insertions(+), 9 deletions(-)

diff --git a/src/windows.jl b/src/windows.jl
index 68dea322e..dd1687943 100644
--- a/src/windows.jl
+++ b/src/windows.jl
@@ -223,18 +223,20 @@ window. For `α == 1`, the window is a Hann window.
 
 The window is defined by sampling the continuous function:
 
-           ⎛              ⎛    ⎛    1 - α⎞⎞
-           ⎜      1 + cos ⎜2πα ⎜x + ─────⎟⎟             1 - α
-           ⎜              ⎝    ⎝      2  ⎠⎠         x ≤ ─────
-           ⎜      ─────────────────────────               2
+           ⎛              ⎛2π ⎛    1 - α⎞⎞
+           ⎜      1 + cos ⎜── ⎜x + ─────⎟⎟             1 - α
+           ⎜              ⎝ α ⎝      2  ⎠⎠       x ≤ - ─────
+           ⎜      ─────────────────────────              2
            ⎜                  2
            ⎜
-    w(x) = ⎜      1                                 -α/2 < x ≤ α/2
+           ⎜                                       1 - α       1 - α
+    w(x) = ⎜      1                              - ───── < x ≤ ─────
+           ⎜                                         2           2
            ⎜
-           ⎜              ⎛    ⎛    1 - α⎞⎞
-           ⎜      1 + cos ⎜2πα ⎜x - ─────⎟⎟             1 - α
-           ⎜              ⎝    ⎝      2  ⎠⎠         x > ─────
-           ⎜      ─────────────────────────               2
+           ⎜              ⎛2π ⎛    1 - α⎞⎞
+           ⎜      1 + cos ⎜── ⎜x - ─────⎟⎟           1 - α
+           ⎜              ⎝ α ⎝      2  ⎠⎠       x > ─────
+           ⎜      ─────────────────────────            2
            ⎝                  2
 
 in the range `[-0.5, 0.5]`