Design of FIR LS Hilbert Transformers Through Fullband Differentiators
Guergana S. Mollova · 2018 52nd Asilomar Conference on Signals, Systems, and Computers · 2007
This paper presents some new explicit expressions for the impulse responses of the case 3, case 4, and differentiating Hilbert transformers. The proposed closed-form design is based on the fullband least-squares differentiator and relations between differentiator and Hilbert transformer. The obtained simple formulas give an efficient way to determine tap-coefficients of designed Hilbert transformers even with a hand calculator. Several numerical examples and comparison with McClellan-Parks algorithm prove the efficiency of this approach.