Theory of two-dimensional multirate filter banks
نویسندگان
چکیده
منابع مشابه
A theory of multirate filter banks
Abs#ruct-Multirate filter banks produce multiple output signals by filtering and subsampling a single input signal, or conversely, generate a single output by upsampling and interpolating multiple inputs. Two of their main applications are subband coders for speech processing and transmultiplexers for telecommunications. Below, we derive a theoretical framework for the analysis, synthesis, and ...
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Multichannel or multi-input multi-output multirate filtering is discussed in this paper. Vector multirate systems are defined, and the issues of aliasing cancellation and perfect reconstruction are addressed in the vector context. The conditions for a vector linear periodically time-variant system to become time-invariant are derived. The idea of doubly complementary filters is generalized to t...
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A procedure is developed to design IIR synthesis lters in a multirate lter bank. The lters minimize thè 2-induced norm of the error system between the multirate lter bank and a desired pure time-delay system. This criterion is reduced to one of H 1 optimization, for which there is ready-made software.
متن کاملTheory of cyclic filter banks
1 We introduce the fundamentals of cyclic multirate systems and filter banks and present a number of important differences between the cyclic and noncyclic (traditional) cases. Some of the additional freedom offered by cyclic systems is pointed out, and a number of open issues are summarized.
متن کاملMultidimensional multirate filters and filter banks derived from one-dimensional filters
We present a method by which every multidimensional (MD) filter with a n arbitrary parallelepiped-shaped passband support can be designed and implemented efficiently. We show that all such filters can be designed starting from a n appropriate one-dimensional prototype filter and performing a simple transformation. With D denoting the number of dimensions, we hence reduce the complexity of desig...
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ژورنال
عنوان ژورنال: IEEE Transactions on Acoustics, Speech, and Signal Processing
سال: 1990
ISSN: 0096-3518
DOI: 10.1109/29.56054