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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 2 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 2 -approximated orthonormal Gaussian wavelet filter using -C integrators is presented.

Abstract-According to recent physiological experiments, the envelope and phase of speech signals are required to enhance the perceptive capability of a cochlear implant processor. In this paper, the design of an analog complex gammatone filter is introduced in order to extract both envelope and phase information of the incoming speech signals as well as to emulate the basilar membrane spectral selectivity. The gammatone impulse response is first transformed into the frequency domain and the resulting 8 th -order transfer function is subsequently mapped onto a state-space description of an orthonormal ladder filter. Using this approach, the real and imaginary transfer functions that share the same denominator can be extracted using two different C matrices. This results in a compact filter structure. The proposed filter is designed using G m -C integrators and sub-threshold CMOS devices in AMIS 0.35μm technology. Simulation results using Cadence RF Spectre confirm the design principle and ultra low power operation.

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