Title :
Optimal communications filters for multirate applications
Author :
Medlin, Gregory W.
Author_Institution :
Electr. Eng. Dept., South Carolina Univ., Columbia, SC, USA
Abstract :
The author describes optimal communications filters used for multirate applications. The closed-form solution is presented for the lowpass filtering problem where the passband is constrained to be maximally flat and the stopband energy is minimized. The optimal filter is shown to exist for specific passband constraints which are related to a matrix of the Vandermonde type. The relationship between filters of similar design with one or two passband constraints is described. Several design examples are included to demonstrate the effectiveness of the design technique
Keywords :
filtering and prediction theory; low-pass filters; matrix algebra; Vandermonde type; closed-form solution; lowpass filtering; matrix; maximally flat; multirate applications; optimal communications filters; passband; stopband energy; Filter bank; Filtering; Finite impulse response filter; Fourier transforms; Frequency; Kernel; Passband; Prototypes; Symmetric matrices; Vectors;
Conference_Titel :
Electrotechnics, 1988. Conference Proceedings on Area Communication, EUROCON 88., 8th European Conference on
Conference_Location :
Stockholm
DOI :
10.1109/EURCON.1988.11124
