Optimized dynamic translinear implementation of the Gaussian wavelet transform

This paper presents an analog implementation of the wavelet transform (WT) in an ultra low power environment, using the dynamic translinear (DTL) circuit techniques. The circuit consists of an analog filter whose impulse response is the first derivative of a Gaussian. A convenient method to provide the transfer function of the filter is given by the Pade approximation. In order to fulfil the low-power requirement, the filter´s state space description is optimized with respect to dynamic range. Finally, the DTL principle is applied to implement the state space filter. Simulations indicate a good approximation of the wavelet transform.