Sensitivity properties of resonator-based digital filters
- 1 January 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 35 (9) , 1195-1197
- https://doi.org/10.1109/31.7591
Abstract
A comparison of the expression in (10) obtained using the Laplace transform method with (14) shows that these two equa- tions are in exact agreement for all values of a and t. This is true because the Taylor series expansion is truncated at the point where we obtain the first zero-valued derivative of the forcing function. Therefore, (13) gives an exact solution for any forcing function which is a finite polynomial in t. This includes the unit step, ramp, and parabola. Abstract -In this paper the sensitivity properties of the recently intro- duced common structure for recursive discrete transforms (I) are investi- gated. This structure is based on digital resonators in a feedback loop. It is shown that this structure nas very nice sensitivity properties near to the resonator pole frequencies, and that by locating the resonator poles properly, even the "passivity" of the feedback loop can be easily guaran- teed.Keywords
This publication has 2 references indexed in Scilit:
- A common structure for recursive discrete transformsIEEE Transactions on Circuits and Systems, 1986
- Recursive discrete Fourier transformationIEEE Transactions on Acoustics, Speech, and Signal Processing, 1980