Time-Stampless Adaptive Nonuniform Sampling for Stochastic Signals
- 13 July 2012
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 60 (10) , 5440-5450
Abstract
In this paper, we introduce a time-stampless adaptive nonuniform sampling (TANS) framework, in which time increments between samples are determined by a function of the m most recent increments and sample values. Since only past samples are used in computing time increments, it is not necessary to save sampling times (time stamps) for use in the reconstruction process. We focus on two TANS schemes for discrete-time stochastic signals: a greedy method, and a method based on dynamic programming. We analyze the performances of these schemes by computing (or bounding) their trade-offs between sampling rate and expected reconstruction distortion for autoregressive and Markovian signals. Simulation results support the analysis of the sampling schemes. We show that, by opportunistically adapting to local signal characteristics, TANS may lead to improved power efficiency in some applications.Keywords
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This publication has 11 references indexed in Scilit:
- On sampling theorems for non bandlimited signals2002
- Nonuniform Sampling2001
- Transform coding with backward adaptive updatesIEEE Transactions on Information Theory, 2000
- Analog-to-digital converter survey and analysisIEEE Journal on Selected Areas in Communications, 1999
- A generalized sampling theory without band-limiting constraintsIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998
- Adaptive scalar quantization without side informationIEEE Transactions on Image Processing, 1997
- On stationary linear time-varying systemsIEEE Transactions on Circuits and Systems, 1982
- Adaptive prediction in speech differential encoding systemsProceedings of the IEEE, 1980
- Adaptive Quantization with a One-Word MemoryThe Journal of the Acoustical Society of America, 1973
- Sampling principle for continuous signals with time-varying bandsInformation and Control, 1968