Title :
Sampling on unions of non-commensurate lattices via complex interpolation theory
Author :
Casey, Stephen D. ; Sadler, Brian M.
Author_Institution :
Math./Stat. Dept., American Univ., Washington, DC, USA
Abstract :
Solutions to the analytic Bezout equation associated with certain multichannel deconvolution problems are interpolation problems on unions of non-commensurate lattices. These solutions provide insight into how one can develop general sampling schemes on properly chosen non-commensurate lattices. We give specific examples of non-commensurate lattices and use a generalization of B.Ya. Levin´s (1996) sine-type functions to develop interpolating formulae on these lattices
Keywords :
deconvolution; interpolation; lattice theory; signal sampling; analytic Bezout equation; complex interpolation theory; general sampling schemes; multichannel deconvolution problems; noncommensurate lattices union; sine-type functions; Convolution; Convolvers; Deconvolution; Equations; Interpolation; Lattices; Nonlinear filters; Sampling methods; Sensor systems; Signal sampling;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5041-3
DOI :
10.1109/ICASSP.1999.756305
