Hardware Realization of Generalized Time-Frequency Distribution with Complex-Lag Argument

A hardware implementation of the Nth order complex-lag time-frequency distribution is proposed. The considered distribution provides an arbitrary high concentration for multicomponent signals with fast varying instantaneous frequency. Although the distribution form is quite complex, the proposed realization is very efficient and provides high-speed real-time processing. Further, it allows avoiding miscalculation errors that may appear in the numerical calculation of signal with complex-lag argument. The results of FPGAs (Field Programmable Gate Arrays) implementation are presented as well.