Title
Design of Pipelined IIR Filters Using Two-Stage Frequency-Response Masking Technique
Abstract
A pipelined, high-speed infinite impulse response (IIR) filter based on the frequency-response masking (FRM) technique has been proposed by Johansson and Wanhammar. In their method, the bandedge shaping filters are a pair of IIR power complementary filters whose <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${z}$ </tex-math></inline-formula> -transform functions are functions of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${z} ^{M}$ </tex-math></inline-formula> and the masking filters are linear phase finite impulse response (FIR) filters. The IIR bandedge shaping filters have <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula> delays in the feedback loop and can be pipelined by <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${M}$ </tex-math></inline-formula> stages. In this brief, we present a two-stage FRM method for reducing the number of multipliers of the pipelined IIR filter proposed by Johansson and Wanhammar for a given magnitude response specification and a given number of pipeline stages in the feedback loop. In our design, all the subfilters are optimized jointly. We show that our two-stage masking design requires fewer multipliers if the number of pipeline stages in the feedback loop is larger than four.
Year
DOI
Venue
2019
10.1109/TCSII.2019.2908229
IEEE Transactions on Circuits and Systems II: Express Briefs
Keywords
Field
DocType
Feedback loop,Finite impulse response filters,Pipelines,Optimization,Passband,Delays,Frequency response
Linear phase,Passband,Frequency response,Masking (art),Control theory,Frequency response masking,Infinite impulse response,Feedback loop,Finite impulse response,Mathematics
Journal
Volume
Issue
ISSN
66
5
1549-7747
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Qinglai Liu112.08
Y. C. Lim2233.54
Zhiping Lin383983.62