Quantization noise analysis and error feedback implementation in frequency sampling FIR filters

Daniel Gold, Hanoch Ur

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers the problem of quantization noise in frequency sampling complex FIR filters. The error feedback (EFB) method - in which the discarded part of the word is appropriately fed back to the filter, so as to reduce the total effect, is utilized in order to reduce the quantization noise. We find conditions on the EFB scheme which pertain, separately, to each branch of the frequency sampling structure. These conditions ensure both noise reduction and the prevention of additional quantization, which may be created by EFB itself. The amount of improvement is a function of the filter characteristics and the specific implementation. Formulas for the improvement are developed and confirmed by simulation.

Original languageEnglish
Pages (from-to)103-113
Number of pages11
JournalSignal Processing
Volume30
Issue number1
DOIs
StatePublished - Jan 1993

Keywords

  • EFB
  • ESS
  • Error feedback
  • error spectrum shaping
  • frequency sampling filter
  • quantization noise
  • roundoff noise

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