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Analog Implementation of Wavelet Transform in Switched-Current Circuits with High Approximation Precision and Minimum Circuit Coefficients

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Abstract

This paper presents a novel procedure for analog implementation of wavelet transform in switched-current (SI) circuits. An improved hybrid PSO–SQP optimization is employed to precisely approximate the impulse response of a filter to the wavelet base function in time domain. The SI first- and second-order section circuits with minimum coefficients are designed based on infinite-impulse-response digital filter technology. Cascode techniques are occupied to reduce the effects of parasitic elements. Based on these SI first- and second-order section circuits, a parallel wavelet circuit structure is presented to synthesize the approximated wavelet base function. By adjusting the switch clock frequency, the wavelets at different scales can be realized. The Gaussian wavelet is selected as an example to illustrate the design procedure. Simulation results demonstrate the feasibility of the proposed procedure for analog wavelet transform in SI circuits.

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Acknowledgments

This work was supported by the National Natural Science Funds of China for Distinguished Young Scholar under Grant No. 50925727, the National Defense Advanced Research Project Grant Nos. C1120110004 and 9140A27020211DZ5102, the National Natural Science Foundation of China under Grant Nos. 60876022 and 61201108, the Hunan Provincial Science and Technology Foundation of China under Grant Nos. 2011JK2023 and 2013GK3096, the Key Grant Project of Chinese Ministry of Education under Grant No. 313018, and the Research Project of Hunan Institute of Science and Technology under Grant No. 2012Y27. The authors would like to thank the editor and the anonymous reviewers for their many helpful and constructive suggestions.

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Authors and Affiliations

  1. College of Electrical and Information Engineering, Hunan University, Changsha , 410082, China

    Yaonan Tong, Yigang He, Wenxin Yu & Ying Long

  2. College of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang , 414006, China

    Yaonan Tong & Hongmin Li

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  1. Yaonan Tong
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  2. Yigang He
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  3. Hongmin Li
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Correspondence to Yaonan Tong.

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Tong, Y., He, Y., Li, H. et al. Analog Implementation of Wavelet Transform in Switched-Current Circuits with High Approximation Precision and Minimum Circuit Coefficients. Circuits Syst Signal Process 33, 2333–2361 (2014). https://doi.org/10.1007/s00034-014-9750-4

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