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Traditionally, transmultiplexers (TMUX) were deployed in telephone networks (speech transmission) for the TDM ↔ FDM translation, and for on-board processing in satellites. It is known that the theory of multirate filter banks can be applied to TMUX to obtain novel implementations and to gain new insights into their design. Recently, two communications applications, namely, the software radio, and...
Nonrectangular transformation is proposed for the design of multidimensional filter banks. The advantage of nonrectangular transformation is the abundance of transformation kernels and their efficient implementations by ladder structures. The design of two-dimensional two-channel filter banks from one-dimensional filters is discussed and design examples are presented.
Recent advances in the time domain methods have led to many new approaches in filter bank designs. The objective of this paper is to derive a unified theory for these time domain methods, based on the Chinese Remainder Theorem. Topics discussed in this paper include two-channel filter banks, M-channel filter banks and 2-D filter banks. Design examples are presented to demonstrate the theory.
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