Estimation and Calibration Algorithms for Distributed Sampling Systems
Thesis Supervisor: Gregory W. Wornell Title: Professor of Electrical Engineering and Computer Science
| Main Author: | |
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| Format: | Technical Report |
| Language: | en_US |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/1721.1/43953 |
| _version_ | 1810997914440302592 |
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| author | Divi, Vijay |
| author_facet | Divi, Vijay |
| author_sort | Divi, Vijay |
| collection | MIT |
| description | Thesis Supervisor: Gregory W. Wornell
Title: Professor of Electrical Engineering and Computer Science |
| first_indexed | 2024-09-23T14:36:38Z |
| format | Technical Report |
| id | mit-1721.1/43953 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:36:38Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | mit-1721.1/439532019-04-10T23:28:24Z Estimation and Calibration Algorithms for Distributed Sampling Systems Divi, Vijay Thesis Supervisor: Gregory W. Wornell Title: Professor of Electrical Engineering and Computer Science Traditionally, the sampling of a signal is performed using a single component such as an analog-to-digital converter. However, many new technologies are motivating the use of multiple sampling components to capture a signal. In some cases such as sensor networks, multiple components are naturally found in the physical layout; while in other cases like time-interleaved analog-to-digital converters, additional components are added to increase the sampling rate. Although distributing the sampling load across multiple channels can provide large benefits in terms of speed, power, and resolution, a variety mismatch errors arise that require calibration in order to prevent a degradation in system performance. In this thesis, we develop low-complexity, blind algorithms for the calibration of distributed sampling systems. In particular, we focus on recovery from timing skews that cause deviations from uniform timing. Methods for bandlimited input reconstruction from nonuniform recurrent samples are presented for both the small-mismatch and the low-SNR domains. Alternate iterative reconstruction methods are developed to give insight into the geometry of the problem. From these reconstruction methods, we develop time-skew estimation algorithms that have high performance and low complexity even for large numbers of components. We also extend these algorithms to compensate for gain mismatch between sampling components. To understand the feasibility of implementation, analysis is also presented for a sequential implementation of the estimation algorithm. In distributed sampling systems, the minimum input reconstruction error is dependent upon the number of sampling components as well as the sample times of the components. We develop bounds on the expected reconstruction error when the time-skews are distributed uniformly. Performance is compared to systems where input measurements are made via projections onto random bases, an alternative to the sinc basis of time-domain sampling. From these results, we provide a framework on which to compare the effectiveness of any calibration algorithm. Finally, we address the topic of extreme oversampling, which pertains to systems with large amounts of oversampling due to redundant sampling components. Calibration algorithms are developed for ordering the components and for estimating the input from ordered components. The algorithms exploit the extra samples in the system to increase estimation performance and decrease computational complexity. 2009-01-09T20:29:44Z 2009-01-09T20:29:44Z 2009-01-09T20:29:44Z Technical Report http://hdl.handle.net/1721.1/43953 en_US Technical Report (Massachusetts Institute of Technology, Research Laboratory of Electronics);727 application/pdf application/pdf |
| spellingShingle | Divi, Vijay Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title | Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title_full | Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title_fullStr | Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title_full_unstemmed | Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title_short | Estimation and Calibration Algorithms for Distributed Sampling Systems |
| title_sort | estimation and calibration algorithms for distributed sampling systems |
| url | http://hdl.handle.net/1721.1/43953 |
| work_keys_str_mv | AT divivijay estimationandcalibrationalgorithmsfordistributedsamplingsystems |