Title :
A matrix approach for the coefficients of maximally flat FIR filter transfer functions
Author :
Rajagopal, L.R. ; Roy, S. C Dutta
Author_Institution :
Centre for Appl. Res. in Electron., Indian Inst. of Technol., New Delhi, India
fDate :
12/1/1988 12:00:00 AM
Abstract :
A matrix approach is proposed for determining the coefficients of maximally flat FIR filter transfer function expressed in terms of the cosine of multiple angles. A transformation matrix maps a functional vector, the entries of which are either 0 or 1, into the coefficient vector of the transfer function. It is shown that the transformation matrix can be generated either directly or recursively
Keywords :
digital filters; filtering and prediction theory; matrix algebra; transfer functions; functional vector; maximally flat FIR filter transfer functions; transformation matrix; Acoustic signal processing; Finite impulse response filter; Frequency response; Polynomials; Speech processing; Symmetric matrices; Transfer functions;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on