Title :
Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique
Author :
Sunder, S. ; Ramachandran, V.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
fDate :
9/1/1994 12:00:00 AM
Abstract :
A procedure for the design of equiripple digital differentiators (DDs) and Hilbert transformers (HTs) using a weighted least-squares technique is described. This procedure involves an iterative algorithm in which the appropriate frequency-dependent weighting function that yields an equiripple design is determined. Our procedure is used in conjunction with prediction techniques for the DD and HT lengths to design DDs and HTs, respectively, satisfying prescribed specifications
Keywords :
delay circuits; differentiating circuits; digital filters; filtering and prediction theory; iterative methods; least squares approximations; transformers; transforms; Hilbert transformers; equiripple design; equiripple nonrecursive digital differentiators; frequency-dependent weighting function; iterative algorithm; prediction techniques; weighted least-squares technique; Algorithm design and analysis; Computer errors; Delay; Equations; Filters; Fourier series; Frequency response; Minimax techniques; Passband; Transformers;
Journal_Title :
Signal Processing, IEEE Transactions on
