Title :
Design and characterization of optimal FIR filters with arbitrary phase
Author :
Alkhairy, Ashraf S. ; Christian, Kevin G. ; Lim, Jae S.
Author_Institution :
MIT, Cambridge, MA, USA
fDate :
2/1/1993 12:00:00 AM
Abstract :
An algorithm for designing a Chebyshev optimal FIR filter that approximates an arbitrary complex-valued frequency response is presented. This algorithm computes the optimal filter by solving the dual to the filter design problem. It is guaranteed to converge theoretically and requires O(N2) computations per iteration for a filter of length N. For the first time, properties of the optimal filter are derived, and the case where the desired filter has arbitrary constant group delay is studied in detail
Keywords :
computational complexity; convergence of numerical methods; digital filters; filtering and prediction theory; Chebyshev optimal FIR filter; O(N2) computations per iteration; arbitrary complex-valued frequency; arbitrary constant group delay; convergence; filter design problem dual; filter length; optimal filter properties; Algorithm design and analysis; Chebyshev approximation; Delay effects; Equalizers; Finite impulse response filter; Frequency response; Nonlinear filters; Passband; Signal design; Signal processing algorithms;
Journal_Title :
Signal Processing, IEEE Transactions on
