Gabor Transform

The Gabor transform is a special type of time-frequency analysis called an invertible joint time-frequency transform. With invertible joint time-frequency transforms, you can recover any time-domain input signal or an approximation of the signal by applying an inverse transform to the transform of the signal. The inverse Gabor transform is known as the Gabor expansion. You can recover the time-domain signal from a Gabor transform by using the Gabor expansion, but you cannot recover the time-domain signal from general STFT analysis. The results of the Gabor transform are Gabor coefficients.

The ability to recover time-domain signals is a feature of Gabor transforms and Gabor expansions. Gabor transforms and expansions enable you to extract signal components related to rotational speed from the Gabor coefficients, or from the time-frequency representation. With the Gabor technique, you can extract the signal components associated with any particular orders.