Multirate systems and filter banks
Multirate systems and filter banks
Discrete-Time Signal Processing
Discrete-Time Signal Processing
The eigenfilter for the design of linear-phase filters with arbitrary magnitude response
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Orthogonal complex filter banks and wavelets: some properties anddesign
IEEE Transactions on Signal Processing
Optimal design of FIR filters with the complex Chebyshev errorcriteria
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
An L1-Method for the Design of Linear-Phase FIR Digital Filters
IEEE Transactions on Signal Processing
Weighted least-squares design and characterization of complex FIRfilters
IEEE Transactions on Signal Processing
| Hi-index | 35.68 |
Due to their linear-phase property, symmetric filters are an interesting class of finite-impulse-response (FIR) filters.Moreover, symmetric FIR filters allow an efficient implementation.In this paper we extend the classical definition of Hermitian symmetry to a more general symmetry that is also applicable to complex filters. This symmetry is called generalized-Hermitian symmetry. We show the usefulness of this definition as it allows for a unified treatment of even and odd-length filters. Central in this paper is a theorem on the reduction of generalized-Hermitian-symmetric filters to Hermitian-symmetric filters, both with finite precision coefficients. A constructive proof of this theorem is presented and an associated procedure for reducing generalized-Hermitian-symmetric filters is derived. Two of the examples show the application of the reduction procedure and the achieved savings on arithmetic costs. Finally, all three examples show that a special instance of the generalized-Hermitian-symmetric filters with finite precision coefficients, may have lower arithmetic costs than the Hermitian-symmetric filter from which it is derived.