Title :
Comments on "Design of FIR Hilbert transformers and differentiators by eigenfilter
Author :
Adams, John W. ; Medlin, Gregory W.
Author_Institution :
Hughes Aircraft Co., Los Angeles, CA, USA
Abstract :
The authors of the above paper, S.-C. Pei and J.-J. Shyu, (ibid., vol.35, no.11, p.1457-61, Nov. 1988) claim that they obtain better performance than that of the McClellan-Parks algorithm. The commenters point out that, as the McClellan-Parks algorithm is mathematically optimal, it appears to be paradoxical that McClellan-Parks filters are claimed to be inferior to eigenfilters. The paradox is explained by noting that McClellan-Parks filters are optimal in the minimax sense and eigenfilters are optimal in the least-squares sense. It is concluded that when the performances of filters are compared, it is important to state the basis for comparison.<>
Keywords :
differentiating circuits; digital filters; filtering and prediction theory; optimisation; FIR Hilbert transformers; McClellan-Parks algorithm; McClellan-Parks filters; differentiators; digital filters; eigenfilter; least-squares sense; minimax sense; optimal filters; Arithmetic; Circuits; Costs; Delay; Finite impulse response filter; Flip-flops; Hardware; Image processing; Signal analysis; Transformers;
Journal_Title :
Circuits and Systems, IEEE Transactions on
