  We propose to combine cepstrum and nonlinear time-frequency (TF) analysis to
study mutiple component oscillatory signals with time-varying frequency and
amplitude and with time-varying non-sinusoidal oscillatory pattern. The concept
of cepstrum is applied to eliminate the wave-shape function influence on the TF
analysis, and we propose a new algorithm, named de-shape synchrosqueezing
transform (de-shape SST). The mathematical model, adaptive non-harmonic model,
is introduced and the de-shape SST algorithm is theoretically analyzed. In
addition to simulated signals, several different physiological, musical and
biological signals are analyzed to illustrate the proposed algorithm.
