Least-Squares Approximation and Polyphase Decomposition for Pipelining Recursive filters
Gupta, Aditya
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https://hdl.handle.net/2142/18444
Description
Title
Least-Squares Approximation and Polyphase Decomposition for Pipelining Recursive filters
Author(s)
Gupta, Aditya
Issue Date
2011-01-14T22:51:08Z
Director of Research (if dissertation) or Advisor (if thesis)
Singer, Andrew C.
Department of Study
Electrical & Computer Eng
Discipline
Electrical & Computer Engr
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Prony's Method
Polyphase decomposition
In nite-length impulse response (IIR) approximation
Abstract
Current techniques used in pipelining recursive filters require high hardware complexity. These techniques attempt to preserve the exact frequency response of the original circuit while seeking to construct a pipelined architecture. We present a technique that relaxes the need to preserve the exact frequency response and instead considers a least-squares formulation in conjunction with the pipelined architecture. The benefit of this design is that it reduces the complexity of the pipelined circuit immensely, while enabling a simple pipelined architecture based on a polyphase decomposition of the original filter.
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