Optimal Window and Lattice in Gabor Transform Application to Audio Analysis

Hélène Lachambre, Benjamin Ricaud, Guillaume Stempfel, Bruno Torrésani, Christoph Wiesmeyr, Darian M. Onchis

Abstract: This article deals with the use of optimal lattice and optimal window in Discrete Gabor Transform computation. In the case of a generalized Gaussian window, extending earlier contributions, we introduce an additional local window adaptation technique for non-stationary signals. We illustrate our approach and the earlier one by addressing three time-frequency analysis problems to show the improvements achieved by the use of optimal lattice and window: close frequencies distinction, frequency estimation and SNR estimation. The results are presented, when possible, with real world audio signals.