Allen Gersho, B. Gopinath, Andrew Odlyzko

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


Coefficient inaccuracy of FIR filters is known to degrade the frequency response particularly in stopband regions. The magnitude of the stopband degradation increases with the number of stages N, the length of the impulse response. A widely used formula for the error in frequency response is proportional to the square root of N. Recently, the authors have found that for random additive coefficient errors with variance sigma **2, the maximum error in frequency response for large N is given by sigma (NlogN)** one-half . This result is applied to an empirical formula relating the minimum number of stages, N, to specified lowpass filter performance parameters. The results lead to absolute bounds on attainable stopband rejection for band-select FIR filters. The realization of transversal filters with charge-coupled devices (CCD's) is particularly relevant to this study.

Original languageEnglish (US)
Number of pages3
StatePublished - Jan 1 1979
EventRec IEEE Int Conf Acoust Speech Signal Process 4th (ICASSP '79) - Washington, DC, USA
Duration: Apr 2 1979Apr 4 1979


OtherRec IEEE Int Conf Acoust Speech Signal Process 4th (ICASSP '79)
CityWashington, DC, USA


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