A new estimator for evolutionary spectrum (ES) based on short time Fourier transform (STFT) and modified group delay function (MGDF) by signal decomposition (SD) is proposed. The STFT due to its built-in averaging, suppresses the cross terms and the MGDF preserves the frequency resolution of the rectangular window with the reduction in the Gibbs ripple. The present work overcomes the magnitude ...

I consider the problem of decomposing a time series into its constituent components. In general, this is underdetermined, and assumptions must be made. Previous attempts include applying nonnegative matrix factorization to the spectrograms of isolated sources to learn a basis for each. A new time series composed of a sum of these sources is then projected onto these bases. For this project, I a...

This paper describes the design and development of new graphical software for spectral audio processing. There are three phases to accomplish the audio processing. First, spectrograms are generated from an input audio signal using Short-Time Fourier Transform (STFT) analysis, and the sonogram image is continually shifting from right to left. Secondly, the sonogram is transformed by placing prep...

Short Time Fourier Transform (STFT) is an important technique for the time-frequency analysis of a time varying signal. The basic approach behind it involves the application of a Fast Fourier Transform (FFT) to a signal multiplied with an appropriate window function with fixed resolution. The selection of an appropriate window size is difficult when no background information about the input sig...

This brief note reports on a study that applies the reassigned spectrogram (the reassigned energy density spectrum of the short-time Fourier transform [STFT]) to develop the dispersion curves for multimode Lamb waves propagating in an aluminum plate. The proposed procedure first uses the spectrogram to operate on a single, laser-generated and detected waveform to develop the dispersion relation...

In previous contributions [1, 2], we presented a fast algorithm for the reconstruction of a time-domain signal from a magnitude short-time Fourier transform (STFT) spectrogram, and showed experimentally that it could lead to substantial reduction in computation time compared to previous work by Griffin and Lim [3] when both algorithms are initialized using zero phase. We study here other strate...

Many single-channel signal decomposition techniques rely on a low-rank factorization of a time-frequency transform. In particular, nonnegative matrix factorization (NMF) of the spectrogram – the (power) magnitude of the short-time Fourier transform (STFT) – has been considered in many audio applications. In this setting, NMF with the Itakura-Saito divergence was shown to underly a generative Ga...