Transmultiplexers: Perfect reconstruction and compensation of channel distortion

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Abstract

This paper presents new results for a multi-input, multi-output transmultiplexer and describes the analogy with known results for a single-input, single-output subband system. First, the perfect reconstruction property in both systems is explored. Then, the complementary nature of the two systems is examined and is interpreted both in terms of network duality and by a series of block diagram manipulations which convert a subband system to a transmultiplexer. It is also shown that an interchange of the set of combining filters and separation filters preserves the crosstalk-free nature of transmultiplexers. The problem of channel distortion is alleviated by passing the received composite signal through a channel compensation filter or equalizer. Five methods for specifying the compensation filter are proposed, each of which reinstates the crosstalk-free nature of the transmultiplexer. However, residual intersymbol interference remains. Two of the five approaches attempt to suppress the intersymbol interference. A comparison of the performance of the five methods is done for a particular channel.

Original languageEnglish (US)
Pages (from-to)261-274
Number of pages14
JournalSignal Processing
Volume21
Issue number3
DOIs
StatePublished - Nov 1990
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Vision and Pattern Recognition

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