Waveform Generation of Time-Limited Pseudo-Random Signals

A time-limited pseudo-random signal is an important component in perturbation signals during a system identification procedure. In this paper, a finite-time duration pseudo-random waveform with desired continuous spectral features is generated using an extended time-frequency domain swapping algorithm. Impulse responses of finite impulse response (FIR) filters are used as initial waveforms. Through iterations, the waveform is polished to achieve a desired smaller crest factor while maintaining major spectral features. A comparison with the commonly used filtered Gaussian white noise waveform shows that the new waveform generated with the proposed algorithm has a much flatter spectrum and sharp transient as being desired