Algorithm 991: The 2D Tree Sliding Window Discrete Fourier Transform

被引：0

作者：

Richardson, Lee F. ^{[1
]}

Eddy, William F. ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Stat & Data Sci, 5000 Forbes Ave, Pittsburgh, PA 15213 USA

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2019年 / 45卷 / 01期

关键词：

Fast Fourier Transform; Data Structure; COMPUTATION; COMPLEXITY;

D O I：

10.1145/3264426

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a new algorithm for the 2D sliding window discrete Fourier transform. Our algorithm avoids repeating calculations in overlapping windows by storing them in a tree data-structure based on the ideas of the Cooley-Tukey fast Fourier transform. For an N-0 x N-1 array and n(0) x n(1) windows, our algorithm takes O(N(0)N(1)n(0)n(1)) operations. We provide a C implementation of our algorithm for the Radix-2 case, compare ours to existing algorithms, and show how our algorithm easily extends to higher dimensions.

引用

页数：12

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