Paper
27 August 1993 Polyphase matrix for rational decimation/interpolation systems
Thomas J. Frederick, Nurgun Erdol
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Abstract
This paper deals with the system for rational sampling rate change. Two efficient implementations are given. The first structure shows the relationship between the polyphase decomposition of the output and the linear, periodically time-varying (LPTV) nature of the system. The second system refines the first one step further to give the polyphase matrix implementation. Frequency domain relations are given for both systems. The first system is a single-input/multi-output time-varying system, and in this case the z-domain relation is not a transfer function. However, the polyphase matrix can be represented as a multi-input/multi- output time-invariant system, and as such has a transfer matrix, which is given.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Thomas J. Frederick and Nurgun Erdol "Polyphase matrix for rational decimation/interpolation systems", Proc. SPIE 1961, Visual Information Processing II, (27 August 1993); https://doi.org/10.1117/12.150969
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KEYWORDS
Visual information processing

Optical filters

Finite impulse response filters

Fourier transforms

Signal analysis

Systems modeling

Matrices

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