TY - JOUR

T1 - Coefficient Inaccuracy in Transversal Filtering

AU - Gersho, A.

AU - Gopinath, B.

AU - Odlyzko, Andrew

PY - 1979/12

Y1 - 1979/12

N2 - Coefficient inaccuracy in transversal 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 By extending recent results on random trigonometric polynomials, we show that for random additive coefficient errors with variance σ2, the error ΔH(ω) in frequency response for large n is such that where log denotes the natural logarithm. This result leads to an absolute bound on attainable stopband rejection for any band‐select transversal filter with given coefficient inaccuracy. In particular, the result places a definite limitation on the quality of band‐select filtering that can be achieved using a ccd split‐electrode filter. It also implies bounds for the peak sidelobes of random radar arrays.

AB - Coefficient inaccuracy in transversal 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 By extending recent results on random trigonometric polynomials, we show that for random additive coefficient errors with variance σ2, the error ΔH(ω) in frequency response for large n is such that where log denotes the natural logarithm. This result leads to an absolute bound on attainable stopband rejection for any band‐select transversal filter with given coefficient inaccuracy. In particular, the result places a definite limitation on the quality of band‐select filtering that can be achieved using a ccd split‐electrode filter. It also implies bounds for the peak sidelobes of random radar arrays.

UR - http://www.scopus.com/inward/record.url?scp=0018770862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0018770862&partnerID=8YFLogxK

U2 - 10.1002/j.1538-7305.1979.tb02968.x

DO - 10.1002/j.1538-7305.1979.tb02968.x

M3 - Article

AN - SCOPUS:0018770862

VL - 58

SP - 2301

EP - 2316

JO - Bell Labs Technical Journal

JF - Bell Labs Technical Journal

SN - 1089-7089

IS - 10

ER -