Musical onset detection is a key component in any beat tracking system. Existing algorithms for onset detection usually rely on short time Fourier transform (STFT). Of numerous existing methods to detect musical onsets, a common limitation is the genre-specific performance. For example, accurate onset locations are not usually identified for genres such as classical music and opera music. In th...

We propose a new lossless progressive color coding of color still images. An image is rstly transformed by reversibleWavelet transform such as S transform due to progressive transmission of image. And we utilize for an improvement of the compression performance not only the inter color correlation but also the inter/intra band correlation of the subbands of reversible wavelet transform. We show...

The S transform, which is introduced in this correspondence, is an extension of the ideas of the continuous wavelet transform (CWT), and is based on a moving and scalable localizing Gaussian window. It is shown here to have some desirable characteristics that are absent in the continuous wavelet transform. The S transform is unique in that it provides frequency-dependent resolution while mainta...

S-transform is a new time-frequency analysis method, which is deduced from short-time Fourier transform and continue Wavelet transform. It has much better performance than traditional time-frequency method. Therefore, in this paper, the basic principle of is briefly introduced and the relationships between is analyzed by theoretical derivation. According to the simulation experiments, the time-...

Model construction is usually guided by a trial-error process, where each iteration is divided into two steps: (i) collect or refine the set of equations that direct the system behaviour, normally in differential form, solving them using, most of the time, the S transform, and (ii) fit a set of properties (parameters) in the model obtained using observations taken from the real system. There ha...

Reversible data hiding deals with the insertion of auxiliary information into a host data without causing any permanent degradation to the original signal. In this contribution a high capacity reversible data hiding scheme, based on the classical difference expansion insertion algorithm, is presented. The method exploits a prediction stage, followed by prediction errors modification, both in th...

Todo introduced [20] a property of multisets of a finite field called the division property. It is then used [19] in an attack against the S7 S-box of the MISTY1 cipher. This paper provides a complete mathematical analysis of the division property. The tool we use is the discrete Fourier transform. We relate the division property to the natural concept of the degree of a subset of a finite fiel...

Let μ be a compactly supported probability measure on R with expectation 1 and variance V. Let μn denote the n-time free multiplicative convolution of measure μ with itself. Then, for large n the length of the support of μn is asymptotically equivalent to eV n, where e is the base of natural logarithms, e = 2.71 . . . 1 Preliminaries and the main result First, let us recall the definition of th...

This paper surveys some results on Wick product and Wick renormalization. The framework is the abstract Wiener space. Some known results on Wick product and Wick renormalization in the white noise analysis framework are presented for classical random variables. Some conditions are described for random variables whose Wick product or whose renormalization are integrable random variables. Relevan...