Gabor Transform for Time-Frequency Analysis
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The Gabor transform is a mathematical tool widely used for time-frequency analysis in signal processing. By convolving time-domain signals with Gaussian window functions of specific widths, it produces time-frequency spectrograms that clearly reveal both temporal and spectral characteristics of signals. Implementation typically involves sliding window operations with Fourier transforms, where key parameters include window size and overlap ratios. The Gabor transform has extensive applications, such as in audio signal processing where it extracts time-frequency features for audio recognition and classification tasks. In image processing, Gabor filters (2D extensions of the transform) are commonly applied for texture analysis and feature extraction through multi-orientation and multi-scale convolution operations.
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