MMSE design of polyphase components for generalized interpolators

Author

Vandendorpe, L. ; Delogne, P. ; Maison, B. ; Cuvelier, L.

Author_Institution

Telecommun. & Remote Sensing Lab., Univ. Catholique de Louvain, Belgium

Volume

iii

fYear

1994

fDate

19-22 Apr 1994

Abstract

The generalized sampling theorem states that any analogue signal whose spectrum is limited to 1/T can be exactly recovered from N sequences of samples taken at a rate 2/NT and all having a different sampling phase. When N=2, the exact interpolation formula can be derived quite easily. The ideal interpolation filters have infinite impulse responses. This paper addresses the question of recovering from the 2 initial sequences, any other sequence taken at the same rate 1/T and with a different sampling phase. The design problem is dealt with for finite length filters and the criterion is the minimization of the mean squared interpolation error

Keywords

FIR filters; error analysis; filtering theory; interpolation; sequences; signal reconstruction; signal sampling; spectral analysis; FIR filters; MMSE design; analogue signal; bandlimited sequence reconstruction; error minimisation; exact interpolation formula; finite length filters; generalized interpolators; generalized sampling theorem; infinite impulse responses; interpolation filters; mean squared interpolation error; polyphase components; sampling phase; spectrum limited signal; Filtering; Finite impulse response filter; Image sampling; Interpolation; Laboratories; Remote sensing; Sampling methods; Signal processing; Signal resolution; Signal sampling;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.390047

Filename

390047