Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique
- 1 January 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 42 (9) , 2504-2509
- https://doi.org/10.1109/78.317874
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 specificationsKeywords
This publication has 7 references indexed in Scilit:
- Design of digital differentiators satisfying prescribed specifications using optimization techniquesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Design of efficient FIR digital differentiators and hilbert transformers for midband frequency rangesInternational Journal of Circuit Theory and Applications, 1989
- Design of FIR Hilbert transformers and differentiators by eigenfilterIEEE Transactions on Circuits and Systems, 1988
- Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filtersIEEE Transactions on Circuits and Systems, 1987
- Improved design method for kaiser differentiators and comparison with equiripple methodIEE Proceedings E Computers and Digital Techniques, 1981
- Design of digital differentiators satisfying prescribed specificationsIEE Proceedings E Computers and Digital Techniques, 1980
- FIR digital filter design techniques using weighted Chebyshev approximationProceedings of the IEEE, 1975