Sub-Nyquist sampling of multiband signals: perfect reconstruction and bounds on aliasing error

Author

Venkataramani, Rahul ; Bresler, Yoram

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

3

fYear

1998

fDate

12-15 May 1998

Firstpage

1633

Abstract

We consider the problem of periodic nonuniform sampling of a multiband signal and its reconstruction from the samples. We derive the conditions for exact reconstruction and find an explicit reconstruction formula. Key features of this method are that the sampling rate can be made arbitrarily close to the minimum (Landau) rate and that it can handle classes of multiband signals that are not packable. We compute various bounds on the aliasing error due to mismodeling the spectral support and examine the performance in the presence of additive white sample noise. Finally we provide optimal designs for the reconstruction system

Keywords

error analysis; optimisation; signal reconstruction; signal representation; signal sampling; spectral analysis; white noise; Landau rate; additive white sample noise; aliasing error bounds; exact reconstruction; explicit reconstruction formula; multiband signal; multiband signal reconstruction; multicoset sampling; optimal design; perfect reconstruction; performance; periodic nonuniform sampling; reconstruction system; sampling rate; signal representation; spectral support; subNyquist sampling; Additive noise; Additive white noise; Computer errors; Frequency; Interleaved codes; Nonuniform sampling; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681767

Filename

681767