The synchrosqueezing method aims at decomposing 1D functions as superpositions of a small number of “Intrinsic Modes”, supposed to be well separated both in time and frequency. Based on the unidimensional wavelet transform and its reconstruction properties, the synchrosqueezing transform provides a powerful representation of multicomponent signals in the time-frequency plane, together with a re...

We present an analysis and model for evaluation of color shifts in halftone printing caused by inter-separation misregistration for periodic clustered dot halftones. Using a lattice framework, we present intuitive analysis that demonstrates conditions under which the average color is asymptotically invariant under inter-separation misregistration. Combining the framework with an analytic repres...

We investigate the sensitivity to carrier phase jitter of an orthogonal frequency-division multiple access (OFDMA) system. When all OFDMA carriers have the same power level and the jitter spectrum, the degradation caused by the jitter is shown to be equal to the degradation of an OFDM system. Also, traditional FDMA is found to be slightly more robust than OFDMA. I. System description. Orthogona...

A perturbation method to analytically describe the dynamics of a classical spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of motion, is presented. By a power series expansion with respect to the particle’s spin magnitude, it is shown how to obtain in general form an analytic representation of the particle’s kinematic and dynamical degrees of freedom that is formally ...

AbstractAn exact method for solving a class of concave transportation problems which reflect economies of scale is presented. By exploiting concepts of dynamic programming and an analysis of the nature of the recursion, an analytic representation of the optimal allocation at each stage has been developed. This completely avoids the impossible storage requirements of higher dimensional dynamic p...

In this paper, we propose the Fourier frequency vector (FFV), inherently, associated with multidimensional Fourier transform. With the help of FFV, we are able to provide physical meaning of so called negative frequencies in multidimensional Fourier transform (MDFT), which in turn provide multidimensional spatial and space-time series analysis. The complex exponential representation of sinusoid...

Instantaneous frequency (IF) is necessary for understanding the detailed mechanisms for nonlinear and nonstationary processes. Historically, IF was computed from analytic signal (AS) through the Hilbert transform. This paper offers an overview of the difficulties involved in using AS, and two new methods to overcome the difficulties for computing IF. The first approach is to compute the quadrat...

The problem of representing the visual signal in the harmonic space guaranteeing a complete characterization of its 2D local structure is investigated. Specifically, the efficacy of anisotropic versus isotropic filtering is analyzed with respect to general phase-based metrics for early vision attributes. We verified that the spectral information content gathered through channeled oriented frequ...

After an extensive survey of mean-velocity profile measurements in various two-dimensional incompressible turbulent boundarylayer flows, it is proposed to represent the profile by a linear combination of two universal functions. One is the well-known law of the wall. The other, called the law of the wake, is characterized by the profile at a point of separation or reattachment. These functions ...

In this chapter we study the spectral energy distribution of VY CMa. Dust particles located in the circumstellar envelope absorb the stellar photons and reemit them at longer IR wavelengths. Therefore, the SED is dominated by a huge infrared excess. In order to understand the absorption and emission processes taking place in the CSE, and their effects on the observed continuum spectrum, we will...