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On discrete-amplitude signal analysis and its applications

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Abstract

Discrete-amplitude signal analysis is studied. A reconstruction theorem of an arbitrary signal quantized in amplitude but continuous in time, from 2 bits of its binary representation, is devised. A new concept of discrete-amplitude multiresolution (DAM), with the signal representation precision taken as its scale, is proposed. The singularities and the residue reducing effect of 2-bit reconstruction of some discrete-time signals are investigated. Two practical examples of applying the discrete-amplitude signal analysis to data compression and signal detection are presented. It is shown both analytically and practically that the discrete-amplitude signal analysis is of simple formulation, parallel processing and efficient computation, and is well suited to hardware implementation and real-time signal processing.

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Authors and Affiliations

  1. Department of Electronic and Information Engineering, Huazhong University of Science and Technology, 430074, Wuhan, China

    Hong Sun & Tianren Yao

Authors
  1. Hong Sun
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  2. Tianren Yao
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Additional information

Project supported by the National Natural Science Foundation of China and the Scientific Research Foundation of Huazhong University of Science and Technology.

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Sun, H., Yao, T. On discrete-amplitude signal analysis and its applications. Sci. China Ser. E-Technol. Sci. 40, 243–249 (1997). https://doi.org/10.1007/BF02916599

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  • DOI: https://doi.org/10.1007/BF02916599

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