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

William E. Higgins, David C. Munson

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


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 languageEnglish (US)
Pages (from-to)429-437
Number of pages9
JournalIEEE Transactions on Circuits and Systems
Issue number5
StatePublished - May 1984

All Science Journal Classification (ASJC) codes

  • General Engineering


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