Title :
A least-squares design of nonrecursive filters satisfying prescribed magnitude and phase specifications
Author :
Sunder, S. ; Ramachandran, Ravi P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
A method is described which can be used to design nonrecursive filters satisfying prescribed magnitude and phase specifications. The method is based on formulating the absolute mean-square error between the frequency response of the practical filter and the desired response as a quadratic function. The coefficients of the filters are obtained by solving a set of linear equations. Examples for designing lowpass filters, differentiators, and allpass phase equalizers are presented. It is shown that the authors´ method leads to a lower mean-square error and is computationally more efficient than the eigenfilter method
Keywords :
FIR filters; computational complexity; digital filters; equalisers; errors; filtering theory; frequency response; least squares approximations; low-pass filters; absolute mean-square error; allpass phase equalizers; differentiators; frequency response; least-squares design; lowpass filters; magnitude specifications; nonrecursive filters; phase specifications; prescribed specifications; quadratic function; Algorithm design and analysis; Chebyshev approximation; Delay; Equalizers; Equations; Finite impulse response filter; Frequency response; Matrix decomposition; Nonlinear filters; Passband;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393726
