Optimal and Suboptimal Error Spectrum Shaping for Cascade-Form Digital Filters

William E. Higgins; David C. Munson

doi:10.1109/TCS.1984.1085528

Optimal and Suboptimal Error Spectrum Shaping for Cascade-Form Digital Filters

William E. Higgins, David C. Munson

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

Error spectrum shaping (ESS) can significantly reduce finite-wordlength error in recursive fixed-point digital filters. Most past work on ESS has focused on second-order filters. In this paper, expressions for the ESS coefficients minimizing the roundoff error are derived for high-order filters composed of cascaded second-order sections. A comparison of the noise gains is made between optimal and suboptimal ESS structures and the section-optimal structure; the ESS structures perform well in comparison. A heuristic section-ordering strategy, based on ideas underlying ESS, is proposed and deemed useful, particularly for elliptic filters.

Original language	English (US)
Pages (from-to)	429-437
Number of pages	9
Journal	IEEE Transactions on Circuits and Systems
Volume	31
Issue number	5
DOIs	https://doi.org/10.1109/TCS.1984.1085528
State	Published - May 1984

All Science Journal Classification (ASJC) codes

General Engineering

Access to Document

10.1109/TCS.1984.1085528

Cite this

@article{e5ed0da3fc5943f594a246b857c83fce,

title = "Optimal and Suboptimal Error Spectrum Shaping for Cascade-Form Digital Filters",

abstract = "Error spectrum shaping (ESS) can significantly reduce finite-wordlength error in recursive fixed-point digital filters. Most past work on ESS has focused on second-order filters. In this paper, expressions for the ESS coefficients minimizing the roundoff error are derived for high-order filters composed of cascaded second-order sections. A comparison of the noise gains is made between optimal and suboptimal ESS structures and the section-optimal structure; the ESS structures perform well in comparison. A heuristic section-ordering strategy, based on ideas underlying ESS, is proposed and deemed useful, particularly for elliptic filters.",

author = "Higgins, {William E.} and Munson, {David C.}",

year = "1984",

month = may,

doi = "10.1109/TCS.1984.1085528",

language = "English (US)",

volume = "31",

pages = "429--437",

journal = "IEEE Transactions on Circuits and Systems",

issn = "0098-4094",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "5",

}

TY - JOUR

T1 - Optimal and Suboptimal Error Spectrum Shaping for Cascade-Form Digital Filters

AU - Higgins, William E.

AU - Munson, David C.

PY - 1984/5

Y1 - 1984/5

N2 - Error spectrum shaping (ESS) can significantly reduce finite-wordlength error in recursive fixed-point digital filters. Most past work on ESS has focused on second-order filters. In this paper, expressions for the ESS coefficients minimizing the roundoff error are derived for high-order filters composed of cascaded second-order sections. A comparison of the noise gains is made between optimal and suboptimal ESS structures and the section-optimal structure; the ESS structures perform well in comparison. A heuristic section-ordering strategy, based on ideas underlying ESS, is proposed and deemed useful, particularly for elliptic filters.

AB - Error spectrum shaping (ESS) can significantly reduce finite-wordlength error in recursive fixed-point digital filters. Most past work on ESS has focused on second-order filters. In this paper, expressions for the ESS coefficients minimizing the roundoff error are derived for high-order filters composed of cascaded second-order sections. A comparison of the noise gains is made between optimal and suboptimal ESS structures and the section-optimal structure; the ESS structures perform well in comparison. A heuristic section-ordering strategy, based on ideas underlying ESS, is proposed and deemed useful, particularly for elliptic filters.

UR - http://www.scopus.com/inward/record.url?scp=0021428403&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021428403&partnerID=8YFLogxK

U2 - 10.1109/TCS.1984.1085528

DO - 10.1109/TCS.1984.1085528

M3 - Article

AN - SCOPUS:0021428403

SN - 0098-4094

VL - 31

SP - 429

EP - 437

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 5

ER -

Optimal and Suboptimal Error Spectrum Shaping for Cascade-Form Digital Filters

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this