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Alias-Component Matrices of Nonuniform Transmultiplexers

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Abstract

Nonuniform transmultiplexers can be used for interconversion of signals with different sampling rates between the time-division multiplexing format and the frequency-division multiplexing format. Here, we review the polyphase representation and discuss the ℋ∞ model-matching design of finite impulse response nonuniform transmultiplexers by semidefinite programming. Then, we study the alias-component matrices. It will be shown that the alias-component matrices of nonuniform transmultiplexers are generalizations of those of linear periodically time-varying systems. In particular, it is shown that the output at any given frequency is only dependent on the input at a finite set of frequencies.

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  1. Dept. of Electrical and Computer Engineering, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 5A9, Canada

    Aryan Saadat Mehr

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  1. Aryan Saadat Mehr
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Correspondence to Aryan Saadat Mehr.

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This work was supported by the Natural Sciences and Engineering Research Council of Canada.

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Mehr, A.S. Alias-Component Matrices of Nonuniform Transmultiplexers. Circuits Syst Signal Process 28, 85–97 (2009). https://doi.org/10.1007/s00034-008-9071-6

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  • DOI: https://doi.org/10.1007/s00034-008-9071-6

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