Design of computationally efficient FIR filters for sampling rate alteration and multiband filtering with arbitrary passbands and time response

Sharp Transition Multiband Filter in Speech Processing Scheme for Hearing Impaired

“…The second approach uses a mixed numericalanalytical method which allows independent weighting of all bands but requires numerical solution of a set of simultaneous equations. A general method is presented by Estola (1988) for designing computationally efficient FIR multiband filters with arbitrary frequency response and time response. These filters are constructed by cascading subfilters and solving the nonlinear approximation problem to obtain filter coefficients.…”

“…They do not yield an explicit expression for the filter transfer function and hence it is difficult tuning to tailor made magnitude responses desired in some applications like the one dealt in this study. Most of the numeric FIR multiband filter approaches (Rabiner et al, 1974;Zahradnik and Vleek, 2005;Mintzer and Liu, 1979;Matei, 2007;Shpak and Antoniou, 1988;Selesnick et al, 1998;Burrus, 1994;Estola, 1988;Samadi et al, 2004;Ho et al, 2008) are based on the least squares or equiripple error criteria. A Remez type exchange algorithm with an initialization strategy and a selective search for the location of the error maxima magnitude to reduce the computation complexity is presented by Shpak and Antoniou (1988).…”