The dispersive effect of the Coriolis force for the stationary Navier-Stokes equations is investigated. The effect is of a different nature than the one shown for the non-stationary case Existence of a unique solution is shown for arbitrary large external force provided the Coriolis force is large enough. The analysis is carried out in a new framework of the Fourier-Besov spaces. In addition to...

In this paper, it has been shown that non-stationary received signals at ultra-wideband impulse radars can be addressed by Fourier series model with time-varying coefficients. Next, simply by computing statistical features of the coefficients, we show that this model can be considered as a sum of band-limited sources. Based on the unconditional orthonormal representation of band-limited signals...

A general linear theory is presented which describes the extension of the convolutional method to nonstationary processes. Two alternate extensions are explored. The first, called nonstationary convolution, corresponds to the linear superposition of scaled impulse responses of a nonstationary filter. The second, called nonstationary combination, does not correspond to such a superposition but i...

Methods are described for extracting the trend from an economic data sequence and for isolating the cycles that surround it. The latter often consist of a business cycle of variable duration and a perennial seasonal cycle. There is no evident point in the frequency spectrum where the trend ends and the business cycle begins. Therefore, unless it can be represented by a simple analytic function,...

A Review on Vibration Analysis for Misalignment of Shaft in Rotary Systems by Using Discrete Wavelet Transform Abhijeet Shirude | S. Y. Gajjal (Mechanical Department, NBNSSoE, Savitribai Phule Pune University, Pune, India, [email protected]) (Mechanical Department, NBNSSoE, Savitribai Phule Pune University, Pune, India, [email protected]) ___________________________________________...

In this paper, we report the efficiency of Fourier Bessel transform and time-frequency based method in conjunction with the fractional Fourier transform, for extracting micro-Doppler radar signatures from the rotating targets. This approach comprises mainly of two processes; the first being decomposition of the radar return, in order to extract micro-Doppler (m-D) features and the second being,...