Title :
A method for design of Mth-band filters
Author :
Wisutmethangoon, Yawaorat ; Nguyen, Truong Q.
Author_Institution :
Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA
fDate :
6/1/1999 12:00:00 AM
Abstract :
The objective of this paper is to present a theory, constraints, and a design method for nonlinear-phase halfband and Mth-band filters. Based on a time-domain property, the constraints and properties in the frequency domain are derived. They are the generalization of the well-known conditions for linear-phase Mth-band filters. Having found all necessary conditions, we present the design method based on an eigenfilter that minimizes the mean-squared errors. The design method is also extended to the design of nonlinear-phase Mth-band filters with properties of R-regularity, or equiripple stopband attenuation, or impulse responses that have complex coefficients. Design examples of various Mth-band filters with different properties are presented, discussed, and compared with the linear-phase case
Keywords :
FIR filters; channel bank filters; frequency-domain synthesis; mean square error methods; nonlinear filters; nonlinear network synthesis; FIR filter; Mth-band filters design; R-regularity; complex coefficients; constraints; eigenfilter; equiripple stopband attenuation; filter banks; frequency domain; impulse responses; linear-phase Mth-band filters; mean-squared errors; necessary conditions; nonlinear-phase halfband filter; time-domain property; Attenuation; Band pass filters; Cutoff frequency; Delay effects; Design methodology; Equations; Fourier transforms; Frequency domain analysis; Frequency response; Passband;
Journal_Title :
Signal Processing, IEEE Transactions on
