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Signal Analysis Using the Complex Spectral Phase Evolution (CSPE) Method

The Complex Spectral Phase Evolution (CSPE) method is introduced as a tool to analyze and detect the presence of short-term stable sinusoidal components in an audio signal. The method provides for super-resolution of frequencies by evaluating the evolution of the phase of the complex signal spectrum over time-shifted windows. It is shown that this analysis, when applied to a sinusoidal signal component, allows for the resolution of the true signal frequency with orders of magnitude greater accuracy than the DFT. Further, this frequency estimate is independent of the frequency bin. The method is robust in the presence of noise or nearby signal components, and is a fundamental tool in the front-end processing for the KOZ compression technology.

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