Systems and methods for reconstructing an audio signal from transformed audio information
A system and method may be configured to reconstruct an audio signal from transformed audio information. The audio signal may be resynthesized based on individual harmonics and corresponding pitches determined from the transformed audio information. Noise may be subtracted from the transformed audio information by interpolating across peak points and across trough points of harmonic pitch paths through the transformed audio information, and subtracting values associated with the trough point interpolations from values associated with the peak point interpolations. Noise between harmonics of the sound may be suppressed in the transformed audio information by centering functions at individual harmonics in the transformed audio information, the functions serving to suppress noise between the harmonics.
1. A method for reconstructing an audio signal from transformed audio information, the method comprising:
obtaining transformed audio information representing a sound, wherein the transformed audio information specifies magnitude of a coefficient related to signal intensity as a function of frequency for the audio signal and time; and
resynthesizing the audio signal based on individual harmonics and corresponding pitches determined from the transformed audio information, wherein resynthesizing the audio signal includes:
tracking one or more pitches of the sound to determine individual pitches and corresponding amplitudes as a function of time for individual harmonics of the sound,
synthesizing individual harmonics using oscillators corresponding to individual harmonics, and
summing the synthesized harmonics to obtain the resynthesized audio signal.
2. The method of claim 1 , wherein synthesizing individual harmonics includes, for a given harmonic, integrating a corresponding pitch over time to determine a phase of the given harmonic.
3. The method of claim 1 , wherein individual ones of the oscillators are based on a cosine function.
4. The method of claim 1 , wherein individual ones of the oscillators include a white noise source.