Amplitude modulated sinusoidal modeling using least-square infinite series approximation with applications to timbre analysis

A least-square infinite series approximation (L-SISA) technique is proposed for modeling amplitude modulated (AM) sinusoidal components of naturally occurring signals, such as those produced by traditional musical instruments. Each AM sinusoid is iteratively extracted using an analysis-by-synthesis technique and the problem of parameter estimation is linearised for least-square approximation through a systematic search in the frequency vector space. Some timbre analysis results obtained using the AM sinusoidal model are presented