DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 115-124


2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 115-124

author: Mihai Furis, Paweł Hitczenko and Jeremy Johnson
title: Cache miss analysis of WHT algorithms
keywords: Cache, Divide and Conquer Recurrences, Geometric Distributions, Memory Access Patterns, Performance Analysis, Random Compositions, Walsh-Hadamard Transform
abstract: On modern computers memory access patterns and cache utilization are as important, if not more important, than operation count in obtaining high-performance implementations of algorithms. In this work, the memory behavior of a large family of algorithms for computing the Walsh-Hadamard transform, an important signal processing transform related to the fast Fourier transform, is investigated. Empirical evidence shows that the family of algorithms exhibit a wide range of performance, despite the fact that all algorithms perform the same number of arithmetic operations. Different algorithms, while having the same number of memory operations, access memory in different patterns and consequently have different numbers of cache misses. A recurrence relation is derived for the number of cache misses and is used to determine the distribution of cache misses over the space of WHT algorithms.
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reference: Mihai Furis and Paweł Hitczenko and Jeremy Johnson (2005), Cache miss analysis of WHT algorithms, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 115-124
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