Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TSP.2009.2028092 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
associated procedure,generalized-hermitian-symmetric filter,generalized-hermitian symmetry,symmetric complex filter,hermitian-symmetric filter,general symmetry,lower arithmetic cost,finite precision coefficient,hermitian symmetry,classical definition,arithmetic cost,linear phase,fir filter,digital filter,fir filters,design methodology,frequency response,finite impulse response filter,arithmetic,finite impulse response,symmetry,hardware,digital filters,quantization | Linear phase,Signal processing,Mathematical optimization,Constructive proof,Digital filter,Control theory,Network synthesis filters,Hermitian function,Finite impulse response,Quantization (signal processing),Mathematics | Journal |
Volume | Issue | ISSN |
58 | 1 | 1053-587X |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fons Bruekers | 1 | 97 | 10.95 |
| Ton Kalker | 2 | 1203 | 140.78 |