Title :
Structures for generating polynomial responses
Author :
Saramäki, Tapio ; Vainio, Olli
Author_Institution :
Signal Process. Lab., Tampere Univ. of Technol., Finland
Abstract :
Two computationally efficient recursive structures are introduced for generating arbitrary polynomial responses. For an Mth-order polynomial, M+1 coefficients are required to obtain the desired shape regardless of the length of the response. For truncating the response, M+1 additional integer-valued coefficients are needed. The proposed structures can be used in a straightforward manner for constructing computationally efficient predictors as well as linear-phase FIR filters with piecewise-polynomial impulse responses
Keywords :
FIR filters; delay circuits; piecewise-linear techniques; polynomials; prediction theory; recursive filters; transient response; computationally efficient predictors; computationally efficient recursive structures; integer-valued coefficients; linear-phase FIR filters; piecewise impulse responses; polynomial responses; response truncation; Delay; Digital filters; Filtering; Finite impulse response filter; Instruments; Laboratories; Polynomials; Shape; Signal processing; Signal processing algorithms;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.519051
