Title :
Parallel-recursive filter structures for the computation of discrete transforms
Author :
Kozick, Richard J. ; Aburdene, Maurice F.
Author_Institution :
Dept. of Electr. Eng., Bucknell Univ., Lewisburg, PA, USA
Abstract :
A general approach is presented for implementing discrete transforms as a set of first-order or second-order recursive digital filters. Clenshaw´s recurrence formulae are used to formulate the second-order filters. The resulting structure is suitable for efficient implementation of discrete transforms in VLSI or FPGA circuits. The general approach is applied to the discrete Legendre transform as an illustration
Keywords :
Legendre polynomials; VLSI; field programmable gate arrays; parallel algorithms; recursive filters; transforms; Clenshaw´s recurrence formulae; FPGA circuits; VLSI circuits; discrete Legendre transform; discrete transforms; first-order recursive digital filter; parallel-recursive filter structures; second-order filters; second-order recursive digital filters; Concurrent computing; Digital filters; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Filter bank; Fourier transforms; Polynomials; Time varying systems; Very large scale integration;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599306