Title :
Implementing Wavelets in Continuous-Time Analog Circuits With Dynamic Range Optimization
Author :
Karel, Joël M H ; Haddad, Sandro A P ; Hiseni, Senad ; Westra, Ronald L. ; Serdijn, Wouter A. ; Peeters, Ralf L M
Author_Institution :
Dept. of Knowledge Eng., Maastricht Univ., Maastricht, Netherlands
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 L2 criterion, starting from a deterministic starting point. This approach offers a large performance increase over previous Padé-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 L2-approximated orthonormal Gaussian wavelet filter using Gm-C integrators is presented.
Keywords :
Gaussian processes; analogue circuits; circuit optimisation; power consumption; signal processing; wavelet transforms; Gm-C integrator; Pade-based approach; analog circuit; circuit implementation; continuous-time analog circuit; deterministic starting point; dynamic range optimization; impulse response; linear system; local search; power consumption viewpoint; signal processing; sixth-order L2-approximated orthonormal Gaussian wavelet filter; state-space optimization; time-reversed wavelet function; wavelet function; wavelet implementation; Analog circuits; Approximation methods; Dynamic range; Mathematical model; Optimization; Wavelet transforms; Analog circuits; design methodology; dynamic range; filters; low power; signal processing; wavelet filters; wavelet transform; wavelets;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2011.2162381
