Method of non-harmonic analysis and synthesis of wave data

A method for analyzing a physical waveform into non-harmonic frequency components, comprising the steps of:

• (a) converting a given interval of a physical waveform into a corresponding digitized wave data;
• (b) multiplying said digitized wave data by a first sine and a first cosine function having a first predetermined period, respectively, to provide a first and a second product value;
• (c) summing said first and second product values over a first predetermined interval, respectively, to provide a first and a second summation value, said first predetermined interval being an integer multiple of said first predetermined period and being equal to or smaller than said given interval;
• (d) determining the amplitudes of said first sine and first cosine functions based on said first and second summation values, respectively;
• (e) subtracting from said digitized wave data a sine and a cosine waveform having the thus determined respective amplitudes and said first predetermined period to provide a residual wave data;
• (f) successively performing the steps (b) to (e) on said digitized wave data using a second to n-th sine and cosine functions having a second to n-th predetermined periods to provide their respective (n-1) residual wave data;
• (g) checking the power of said n residual wave data to determine as a first non-harmonic frequency component said sine and cosine waveforms providing a minimum residual wave data power;
• (h) subtracting from said digitized wave data said sine and cosine waveforms providing the minimum residual wave data power to provide a first residual waveform;
• and
• (i) successively performing the steps (b) to (h) on said first to n-th residual waveforms to determine a second to n-th non-harmonic frequency components.