Theory and design of perfect reconstruction transmultiplexers and their relation to perfect reconstruction QMF banks

摘要

The theory of transmultiplexers involves the design of \udfilters for interconversion between Time Domain Multiplexing (TDM) and Frequency Division Multiplexing (FDM), such that the undesirable Crosstalk is minimized. \udIn TDM → FDM → TDM conversion, the perfect reconstruction \udtrans-multiplexer (PR-TMUX) achieves complete Crosstalk Cancellation (CC) and is distortion-free. In this \udpaper, we present an analysis of the PR-TMUX based \udon the polyphase component matrices of the filter banks used in TDM → FDM and FDM → TDM conversion respectively. Using that, a necessary and sufficient condition for \udcomplete CC is obtained. The close relation between \udPR-TMUX filters and PR-QMF banks is used to obtain \uda direct design procedure for PR-TMUX filters.