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Processing of speech and audio signals with time-frequency representationsrequire windowing methods which allow perfect reconstruction of the originalsignal and where processing artifacts have a predictable behavior. The mostcommon approach for this purpose is overlap-add windowing, where signalsegments are windowed before and after processing. Commonly used windowsinclude the half-sine and a Kaiser-Bessel derived window. The latter is anapproximation of the discrete prolate spherical sequence, and thus a maximumenergy concentration window, adapted for overlap-add. We demonstrate thatperformance can be improved by including the overlap-add structure as aconstraint in optimization of the maximum energy concentration criteria. Thesame approach can be used to find further special cases such as optimallow-overlap windows. Our experiments demonstrate that the proposed windowsprovide notable improvements in terms of reduction in side-lobe magnitude.

Overlap-Add Windows with Maximum Energy Concentration for Speech and Audio Processing