Signal decomposition, analysis and reconstruction using high-resolution filter banks and component tracking

A computer-implemented method comprising:

• sensing a quasi-periodic signal and generating an initial series of digitized signal values based on the sensed signal;
• digitally filtering the initial series of digitized signal values in a computer to generate a first plurality of digitally bandpass-filtered signals, wherein each one of the first plurality of digitally bandpass-filtered signals has a respective center frequency that is unique among respective center frequencies of the first plurality of digitally bandpass-filtered signals and a respective frequency range that overlaps the respective frequency range of a closest neighboring one of the first plurality of digitally bandpass-filtered signals;
• determining, using an information processor in the computer, a first plurality of fractional-phase amplitude values and a plurality of fractional-phase-determined time points per full waveform cycle of a corresponding one of the first plurality of digitally bandpass filtered signals;
• using the first plurality of fractional-phase amplitude values for detecting and tracking, in the computer, a first tracked frequency component as that first tracked frequency component's main component moves from one to another frequency range of the first plurality of digitally bandpass-filtered signals;
• storing information regarding the tracked frequency component into a storage device;
• and
• automatically generating an interpretation of the quasi-periodic waveform using the information processor and based on the information regarding the tracked frequency component and the first plurality of fractional-phase amplitude values and the plurality of fractional-phase-determined time points, and generating relevant information from the interpretation.

A non-transitory computer-readable storage medium having instructions stored thereon, wherein the instructions, when executed by a suitably programmed computer, perform a method comprising:

• digitally filtering an initial series of digitized signal values in a computer to generate a first plurality of digitally bandpass-filtered signals, wherein each one of the first plurality of digitally bandpass-filtered signals has a respective center frequency that is unique among respective center frequencies of the first plurality of digitally bandpass-filtered signals and a respective frequency range that overlaps the respective frequency range of a closest neighboring one of the first plurality of digitally bandpass-filtered signals;
• determining a first plurality of fractional-phase amplitude values and a plurality of fractional-phase-determined time points per full waveform cycle of a corresponding one of the first plurality of digitally bandpass filtered signals;
• using the first plurality of fractional-phase amplitude values for detecting and tracking, in the computer, a first tracked frequency component as that first tracked frequency component's main component moves from one to another frequency range of the first plurality of digitally bandpass-filtered signals;
• and
• storing information regarding the tracked frequency component into a storage device.