Mapping the wavelet transform onto silicon: the dynamic translinear approach

In this paper, an analog implementation of the Wavelet Transform (WT) is presented. The circuit is based on the Dynamic Translinear (DTL) circuit technique and implements, by means of cascade connected complex first order systems, an analog filter whose impulse response is a Gabor function, a function most widely used for frequency analysis among wavelet functions. From simulations, it is demonstrated that we can scale and shift in time and frequency by simply controlling the capacitance or the control current values. The main advantage of this DTL implementation is its low-power consumption. The circuit operates from 1-V supply voltage and a bias current of 1μA.