Cover image for Pipelined lattice and wave digital recursive filters
Title:
Pipelined lattice and wave digital recursive filters
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Publication Information:
Boston, Mass. : Kluwer Academic Publishers, 1996
ISBN:
9780792396567
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30000003910555 TK7872.F5 C54 1996 Open Access Book Book
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Summary

Summary

Pipelined Lattice and Wave Digital Recursive Filters uses look-ahead transformation and constrained filter design approaches. It is also shown that pipelining often reduces the roundoff noise in a digital filter. The pipelined recursive lattice and wave digital filters presented are well suited where increasing speed and reducing area or power or roundoff noise are important. Examples are wireless and cellular codec applications, where low power consumption is important, and radar and video applications, where higher speed is important. The book presents pipelining of direct-form recursive digital filters and demonstrates the usefulness of these topologies in high-speed and low-power applications. It then discusses fundamentals of scaling in the design of lattice and wave digital filters. Approaches to designing four different types of lattice digital filters are discussed, including basic, one-multiplier, normalized, and scaled normalized structures. The roundoff noise in these lattice filters is also studied. The book then presents approaches to the design of pipelined lattice digital filters for the same four types of structures, followed by pipelining of orthogonal double-rotation digital filters, which eliminate limit cycle problems. A discussion of pipelining of lattice wave digital filters follows, showing how linear phase, narrow-band, sharp-transition recursive filters can be implemented using this structure. This example is motivated by a difficult filter design problem in a wireless codec application. Finally, pipelining of ladder wave digital filters is discussed. Pipelined Lattice and Wave Digital Recursive Filters serves as an excellent reference and may be used as a text for advanced courses on the subject.


Table of Contents

Preface
1 Introduction
2 Pipeline interleaving in digital filters
3 Pipelining direct form recursive digital filters
4 Roundoff noise in pipelined recursive digital filters
5 Schur algorithm
6 Digital lattice filter structures
7 Pipelining of lattice IIR digital filters
8 Pipelining of orthogonal double-rotation digital lattice filters
9 Pipelined lattice WDF design for wideband digital filters
10 Synthesis and pipelining of ladder WDFs in digital domain
A Derivation of (3.3),(3.5) and (3.23)
B Derivation of case (A) in section 10.4
C Derivation of case (E) in Section 10.4
References