Digital all-pass networks
- 1 September 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 21 (5) , 688-700
- https://doi.org/10.1109/tcs.1974.1083908
Abstract
A systematic method is outlined to realize anmth-order all-pass digital transfer function using onlymmultipliers as a cascade of first-order and/or second-order all-pass sections. The realization is based on the multiplier extraction approach in which thenth-order filter section is considered as a digital(n + 1)-pair of whichnpairs of input and output terminal variables are constrained bynmultipliers. The transfer matrix parameters of the digital(n + 1)-pair, containing only delays and adders, are first identified from which the realization is obtained by inspection. Both canonic and noncanonic realizations are derived. All realizations are then compared with regard to the effect of multiplication roundoff and hardware requirements.Keywords
This publication has 11 references indexed in Scilit:
- A simple method of computing the input quantization and multiplication roundoff errors in a digital filterIEEE Transactions on Acoustics, Speech, and Signal Processing, 1974
- New methods of digital ladder realizationIEEE Transactions on Audio and Electroacoustics, 1973
- Digital ladder networksIEEE Transactions on Audio and Electroacoustics, 1973
- Digitale Systeme zur SignalverarbeitungPublished by Springer Nature ,1973
- Canonic realizations of digital filters using the continued fraction expansionIEEE Transactions on Audio and Electroacoustics, 1972
- On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*Bell System Technical Journal, 1970
- An approach to the implementation of digital filtersIEEE Transactions on Audio and Electroacoustics, 1968
- Digital filter synthesis by sampled-data transformationIEEE Transactions on Audio and Electroacoustics, 1968
- Variable electronic allpass delay networksElectronics Letters, 1968
- Digital filter design techniques in the frequency domainProceedings of the IEEE, 1967