Controlling the reconstruction error in Hybrid Filter Banks

Abstract

In this work we propose a Hybrid Filter Bank (HFB) design method with controlled reconstruction error. We show that this can be achieved if (i) the band-pass analog filters have a phase response that satisfy a given condition and (ii) the chosen delay for the HFB allows a correct approximation of the non-causal part of the digital synthesis filters impulse response. We are using this type of system to perform the analog to digital conversion of RF signals in a software defined radio front-end with a combined bandwidth / dynamic range beyond the current Analog to Digital Converters limits.