Implementing Wavelets in Continuous-Time Analog Circuits With Dynamic Range Optimization

Joël Karel

doi:10.1109/TCSI.2011.2162381

Implementing Wavelets in Continuous-Time Analog Circuits With Dynamic Range Optimization

2012-02-01

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DOI：10.1109/TCSI.2011.2162381

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Abstract

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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.

Keywords:

Analog circuits

design methodology

dynamic range

filters

low power

signal processing

wavelet filters

wavelets

wavelet transform

Implementing Wavelets in Continuous-Time Analog Circuits With Dynamic Range Optimization

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