Time-bandwidth engineering for arbitrary waveform generation

We introduce a method for arbitrary waveform generation employing time bandwidth product expansion. It is based on the newly introduced mathematical function, Anamorphic Stretch Transform for engineering the time bandwidth of signals. We show that using warped dispersive Fourier transform with a specific frequency to time mapping profile, one can boost the time-bandwidth product of waveform generators above the fundamental limit set by spectral encoding. This report is the first application of anamorphic stretch transform for waveform generation.