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Efficient reconstruction of band-limited sequences from nonuniformly decimated versions by use of polyphase filter banks

Vaidyanathan, P. P. and Liu, Vincent C. (1990) Efficient reconstruction of band-limited sequences from nonuniformly decimated versions by use of polyphase filter banks. IEEE Transactions on Acoustics, Speech, and Signal Processing, 38 (11). pp. 1927-1936. ISSN 0096-3518. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp90b

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Abstract

An efficient polyphase structure for the reconstruction of a band-limited sequence from a nonuniformly decimated version is developed. Theoretically, the reconstruction involves the implementation of a bank of multilevel filters, and it is shown that how all these reconstruction filters can be obtained at the cost of one Mth band low-pass filter and a constant matrix multiplier. The resulting structure is therefore more general than previous schemes. In addition, the method offers a direct means of controlling the overall reconstruction distortion T(z) by appropriate design of a low-pass prototype filter P(z). Extension of these results to multiband band-limited signals and to the case of nonconsecutive nonuniform subsampling are also summarized, along with generalizations to the multidimensional case. Design examples are included to demonstrate the theory, and the complexity of the new method is seen to be much lower than earlier ones.


Item Type:Article
Additional Information:© Copyright 1990 IEEE. Reprinted with permission. Manuscript received November 7, 1988; revised December 1, 1989. This work was supported in part by National Science Foundation grants DCI 8552579 and MIP 8604456.
Record Number:CaltechAUTHORS:VAIieeetassp90b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp90b
Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=3186&arnumber=103094&count=20&index=9
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ID Code:5880
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Deposited On:06 Nov 2006
Last Modified:26 Dec 2012 09:15

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