Finite Rate of Innovation Signals: Quantization Analysis with Resistor-Capacitor Acquisition Filter

Sampling and perfect reconstruction of Finite rate of innovation (FRI) signals, which are usually not bandlimited, was introduced by Vetterli, Marziliano, and Blu [1]. A typical FRI reconstruction algorithm requires solving for FRI signal parameters from a power-sum series. This in turn requires annihilation filters and polynomial root-finding techniques. These steps complicate the analysis of FRI signal reconstruction in the presence of quantization. In this work, we introduce a three-channel resistor-capacitor filter bank for the acquisition and reconstruction of FRI signals consisting of stream of Diracs and nonuniform splines. The effect of quantization error is derived for our three-channel filter-bank scheme. However, the sampling-rate required for our scheme is larger than the minimum samplingrate of FRI signals.