Continuous Marr Wavelet Transform Based on Ladder Structure Log-domain Filter

A novel implementation of continuous Marr wavelet transform based on ladder structure log-domain integrator filter is proposed. Marr mother wavelet is approximated by a parameterized class of function and with Levenbery-Marquardt nonlinear least square method, the optimum parameters of this function are obtained. The circuits of implementating Marr wavelet transform are composed of analog log-domain integrator filter whose impulse response is the required wavelet. The filter design is based on IFLF structure with CMOS log-domain integrators as the main building blocks. SPICE simulations show the proposed filter possesses almost ideal frequency responses, simple circuit topology, low sensitivity and optimum dynamic range etc.