Title :
Frequency-Shaped Randomized Sampling
Author :
Dey, S.R. ; Oppenheim, Alan V.
Author_Institution :
Digital Signal Process. Group, Massachusetts Inst. of Technol., Cambridge, MA, USA
Abstract :
This paper explores the use of discrete-time randomized sampling as a method to mitigate the effects of aliasing. Two distinct sampling architectures are presented along with second-order characterizations of the resulting sampling error. In the first, denoted simple randomized sampling, non-white sampling processes are shown to frequency-shape the error spectrum, so that its power is minimized in the band of interest. The design of non-white binary processes for use in randomized sampling is considered. In the second model, denoted filtered randomized sampling, a pre-filter, post-filter, and the sampling process are used to achieve a similar effect. In both cases, optimal mean-squared-error solutions are derived. Results from simulation are shown.
Keywords :
filtering theory; mean square error methods; random processes; signal sampling; discrete-time randomized sampling; filtered randomized sampling; frequency-shaped randomized sampling; non-white binary processes; non-white sampling processes; optimal mean-squared-error solutions; post-filter process; pre-filter process; Application software; Digital signal processing; Energy consumption; Filters; Frequency; Image reconstruction; Power system modeling; Sampling methods; Signal sampling; Wideband; LTI reconstruction; noise-shaping; non-uniform sampling; randomized sampling;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Print_ISBN :
1-4244-0727-3
DOI :
10.1109/ICASSP.2007.367131