This paper presents the theoretical background for the Model Based Underdetermined Source Separation presented in [5]. We show that for a given frequency band, in contrast to customary assumption, the observed Short-Time Fourier Transform (STFT) ratio coming from one source is not constant in time, but is a random variable whose distribution we have obtained. Using this distribution and the Tim...

We introduce a novel Algorithm for underdetermined convolutive mixture of source signals. Where the convolution is routinely approximated in the short-time Fourier transform (STFT) domain as linear instantaneous mixing in each frequency band. Each source STFT is given a model inspired from nonnegative matrix factorization (NMF) with the -divergence, this divergence is a family of cost functions...

Abstract Ballast fouling in railroad substructure is detrimental to railroad track effectiveness and its structural capacity. Ground penetrating radar (GPR) provides a rapid, effective and continuous approach to assess railroad substructure condition. However, unknown ballast dielectric constant and unclear interface between clean and fouled ballast limit the GPR assessment accuracy. In this st...

In this paper, we present a method for the automatic transcription of polyphonic piano music. The input to this method consists in piano music recordings stored in WAV files, while the pitch of all the notes in the corresponding score forms the output. This method operates on a frame-by-frame basis and exploits a suitable time-frequency representation of the audio signal. The solution proposed ...

A process for converting a .mp3 file of a violin melody to notated sheet music using digital signal processing is described in this work. With frequency domain analysis, the input signal was filtered with a Butterworth low pass filter to minimize background noise and higher frequencies. A rectangular window was implemented to determine the maximum frequency at each time point in the short time ...

Ultrasonic non-destructive analysis is a promising and effective method for the inspection of protective coating materials. Offshore exhibits high attenuation rate ultrasonic energy due to absorption pulse echo testing becomes difficult small amplitude second from back wall layer. In order address these problems, an advanced signal has been proposed. An delay line was applied A short-time Fouri...

Electromyography (EMG) is widely applied for neural engineering. For motion pattern recognition, many features of multi-channel EMG signals were investigated, but the relationships between muscles were not considered. In this study, a novel STFT-ranking feature based on short-time Fourier transform (STFT) is proposed. The novelty of STFT-ranking features is considering and covering the relation...

In this paper, we introduce supergaussian generalized autoregressive conditional heteroscedasticity (GARCH) models for speech signals in the short-time Fourier transform (STFT) domain. We address the problem of speech enhancement, and show that estimating the variances of the STFT expansion coefficients based on GARCH models yields higher speech quality than by using the decision-directed metho...