DocumentCode :
779665
Title :
Estimate of aliasing error for non-smooth signals prefiltered by quasi-projections into shift-invariant spaces
Author :
Wen Chen ; Bin Han
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, Alta., Canada
Volume :
53
Issue :
5
fYear :
2005
fDate :
5/1/2005 12:00:00 AM
Firstpage :
1927
Lastpage :
1933
Abstract :
An ideal analog-to-digital (A/D) converter prefilters a signal by an ideal lowpass filter. Recent research on A/D conversion based on shift-invariant spaces reveals that prefiltering signals by quasiprojections into shift-invariant spaces provides more flexible choices in designing an A/D conversion system of high accuracy. This paper focuses on the accuracy of such prefiltering, in which the aliasing error efλ is found to behave like efλ 2 = O(λ) with respect to the dilation λ of the underlying shift-invariant space, provided that the input signal f is Lipschitz-α continuous. A formula to calculate the coefficient of the decay rate is also figured out in this paper.
Keywords :
analogue-digital conversion; filtering theory; low-pass filters; signal sampling; aliasing error estimation; analog-to-digital converter prefilter; lowpass filter; nonsmooth signal; prefiltered signal; shift-invariant space quasiprojection; signal sampling; strong-fix condition; Analog-digital conversion; Costs; Filters; Multiple signal classification; Polynomials; Signal generators; Signal processing; Signal processing algorithms; Speech analysis; Speech processing; A/D conversion; Strang–Fix condition; Wiener amalgam spaces; aliasing error; lowpass filter; prefiltering; quasiprojection; sampling; shift-invariant spaces;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/TSP.2005.845490
Filename :
1420831
Link To Document :
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