Journal
SIGNAL PROCESSING
Volume 111, Issue -, Pages 31-38Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2014.11.021
Keywords
Aliasing error; Linear canonical transform (LCT); Random signals; Sampling theorem; Truncation error
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Funding
- National Natural Science Foundation of China [11371200]
- Research Fund for the Doctoral Program of Higher Education [20120031110023]
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The linear canonical transform (LCT) plays an important role in optical and digital signal processing. Over the past few decades, there has been a vast amount of research on sampling theorems for a deterministic signal bandlimited in the LCT domain. However, signals are usually random in practical situations. Hence in this paper, we study sampling theorems for a random signal bandlimited in the LCT domain. We first construct a random signal theoretic framework in the LCT domain, such as the LCT power spectral density and the LCT auto-correction function. Then, we formulate uniform sampling theorem and multi-channel sampling theorem for a random signal bandlimited in the LCT domain. Finally, we analyze two kinds of reconstruction error estimates for uniformly sampling a random signal in the LCT domain: aliasing error and truncation error. (C) 2014 Elsevier B.V. All rights reserved.
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