Time-limited perturbation waveform generation by an extended time-frequency domain swapping algorithm

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. Multi-sine waveforms are used as initial waveforms. Through iterations, the waveform is polished to achieve desired spectral features and small crest factor. A comparison with multi-sine waveforms shows that the new waveform generated with the proposed algorithm has a much flatter spectrum and smaller crest factor as being desired.