Methods for Avoiding the Checkerboard Distortion Caused by Finite Word Length Error in Multirate System

Hiroaki IWAI  Masahiro IWAHASHI  Hitoshi KIYA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.3   pp.631-635
Publication Date: 2010/03/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
Keyword: 
checkerboard distortion,  multirate system,  finite word length error,  cascade structure,  

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Summary: 
We propose two methods for avoiding the checkerboard distortion which is caused by finite word length error. The first method derives the bit length of filter coefficients required for avoiding the checkerboard distortion under a certain word length. In the second method, the checkerboard distortion can be avoided by using the cascade structure which consists of zero-hold kernel and a time-invariant filter factorized from a filter with structure for avoiding the checkerboard distortion under linear systems. It is demonstrated by simulations that we can avoid the checkerboard distortion by using these proposed methods.