Optimal design of hybrid filterbank analog-to-digital converters using input statistics

The hybrid filterbank architecture permits implementing accurate, high speed analog-to-digital converters. However, its design is technically involved since perfect reconstruction of the desired samples cannot be achieved in general. In this paper we propose a design method which generalizes existing approaches by dropping the bandlimited assumption on the input signal. The design minimizes the power of the reconstruction error in the samples, for a given input signal power spectrum. We discuss the use of blind techniques to estimate the analysis filterbank parameters as well as the input power spectrum, and we present simulation results to demonstrate the clear advantage of the proposed design, even under input spectrum uncertainties.