Implementing Wavelets in Continuous Time Analog Circuits with Dynamic Range Optimization

J.M.H. Karel, S.A.P. Haddad, S. Hiseni, R.L. Westra, W.A. Serdijn, R.L.M. Peeters

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Signal processing by means of analog circuits offers advantages from a power consumption viewpoint. A method is described to implement wavelets in analog circuits by fitting the impulse response of a linear system to the time-reversed wavelet function. The fitting is performed using local search involving an criterion, starting from a deterministic starting point. This approach offers a large performance increase over previous Pade-based approaches and allows for the circuit implementation of a larger range of wavelet functions. Subsequently, using state-space optimization the dynamic range of the circuit is optimized. Finally, to illustrate the design procedure, a sixth-order L-2-approximated orthonormal Gaussian wavelet filter using G(m)-C integrators is presented.
Original languageEnglish
Pages (from-to)229-242
Number of pages14
JournalIEEE Transactions on Circuits and Systems
Volume59
Issue number2
DOIs
Publication statusPublished - Feb 2012

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