the radial trace transform was introduced by the stanford exploration project many years ago (ottolini, 1979 and claerbout, 1983), primarily for use in migration and imaging applications. it has been shown subsequently, because of its particular geometry, to be very useful for wavefield separation (claerbout, 1983) and coherent noise attenuation (henley, 1999). the radial trace transform, unlik...

We study linear properties of TU-games, revisiting well-known issues like interaction transforms, the inverse Shapley value problem and the concept of semivalues and least square values. We embed TU-games into the model of cooperation systems and influence patterns, which allows us to introduce linear operators on games in a natural way. We focus on transforms, which are linear invertible maps,...

Introduction: Detecting signals of visual evoked potentials (VEPs) elicited by repetitive stimuli is generally difficult, since the signal-tonoise ratio (SNR) of VEPs embedded in strong background noise and spontaneous EEG is rather low [1]. When the complete information of the signal to be detected is known, the optimal detector (in the Neyman-Pearson sense) is the likelihood ratio test which ...

The linear canonical transform (LCT), is the name of a parameterized continuum of transforms which include, as particular cases, the most widely used linear transforms and operators in engineering and physics such as the Fourier transform, fractional Fourier transform (FRFT), Fresnel transform (FRST), time scaling, chirping, and others. Therefore the LCT provides a unified framework for studyin...

We propose an Auditory VOCODER to resynthesize sound from the Auditory Mellin Image which is an auditory representation that segregates the size and shape information of incoming sound. The sound resynthesis part consists of three techniques: the STRAIGHT VOCODER [2], frequency-warping cepstral analysis [4,12], and nonlinear multivariate regression analysis (MRA). We explain these methods and t...

This study aims to achieve an efficient time-frequency representation of higher-dimensional signals by introducing the notion a non-separable linear canonical wavelet transform in L2(Rn). The preliminary analysis encompasses derivation fundamental properties novel integral including orthogonality relation, inversion formula, and range theorem. To extend scope study, we formulate several uncerta...

Multiple features can be extracted from time-frequency representation of signals for the purpose acoustic event detection. However, many underwater are formed by multiple events (impulsive and tonal), which generates difficulty on high-resolution TFR each component. For characterization such different events, we propose an anisotropic chirplet transform to achieve with high energy concentration...