"On the location of zeros of the STFT of dual-sinusoidal signals"Lócsi, LeventeFrom a signal processing point of view, traditionally the dominant values of an STFT are considered important, however in the recent years we see increased interest and interesting results regarding the zeros of the transform. Our current work joint with Angéla Czirkos focuses on finding the exact location of the zeros of dual-sinusoidal signals, primarily considering the Gaussian window function. It was known that in case of two pure frequencies with equal amplitudes the zeros arise periodically at the average frequency. Now we present that in case of different amplitudes the zeros are basically shifted towards the weaker frequency proportionally to the logarithm of the amplitude ratio, however depending on the window width as well. |
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