Title :
Design of FIR Hilbert transformers and differentiators by eigenfilter
Author :
Pei, Soo-Chang ; Shyu, Jong-Jy
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
The design of Hilbert transformers and differentiators by eigenfilters is presented. The filter coefficients are computed from an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The method is simple, and the performance is better than that of McClellan-Parks algorithm. The design time is fast and comparable for filter length less than one hundred.<>
Keywords :
differentiating circuits; digital filters; eigenvalues and eigenfunctions; filtering and prediction theory; frequency response; FIR Hilbert transformers; design time; differentiators; digital filter design; eigenfilters; eigenvector; filter coefficients; positive-definite matrix; Finite impulse response filter; Symmetric matrices; Transformers;
Journal_Title :
Circuits and Systems, IEEE Transactions on