Implementing Complex Wavelet Transform in Analog Circuit and Singular Value Decomposition Algorithm

نویسندگان

  • MU LI
  • YIGANG HE
  • XIAOFENG WU
  • ZAIFANG XI
چکیده

A new method for implementing complex wavelet transform (CWT) based on analog sampled-data circuit and singular value decomposition (SVD) algorithm is presented. To begin with, the real and imaginary parts functions of the complex wavelet base are approximated by using SVD algorithm. As the main advantage of this approximation approach is its computational simplicity and general applicability. Next, the complex wavelet circuit is implemented using multiple-loop feedback (MLF) architecture with switched-current (SI) bilinear integrators and current mirrors as basic elements. Finally, the CWT is realized by controlling the clock frequency of the designed SI filters. Simulation results demonstrate the proposed method of implementing the CWT is effective and would be suitable to design other SI circuits as well. Key-Words: -Complex wavelet, wavelet transform, analog filters, switched-current circuits, singular value decomposition.

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تاریخ انتشار 2015