Spread-spectrum systems are presented, which are based on Finite Field Fourier Transforms. Orthogonal spreading sequences defined over a finite field are derived. New digital multiplex schemes based on such spread-spectrum systems are also introduced, which are multilevel Coding Division Multiplex. These schemes termed Galois-field Division Multiplex (GDM) offer compact bandwidth requirements b...

It is suggested that the properties of the mass spectrum of elementary particles could be related with cosmology. Solutions of the Klein-Gordon equation on the Friedmann type manifold with the finite action are constructed. These solutions (actons) have a discrete mass spectrum. We suggest that such solutions could select a universe from cosmological landscape. In particular the solutions with ...

We employ an infinite-signature Hrushovski amalgamation construction to yield two results in Recursive Model Theory. The first result, that there exists a strongly minimal theory whose only recursively presentable models are the prime and saturated models, adds a new spectrum to the list of known possible spectra. The second result, that there exists a strongly minimal theory in a finite langua...

In this paper, two controllers are proposed for bilateral teleoperation systems with communication time delay. The first one guarantees the tracking of slave-master outputs, while the second one guarantees the transparency. Communication time delay appears in the control loop of the second controller, and finite spectrum assignment method is used to design this controller such that the resultin...

Key role in cognitive radio (CR) process play the spectrum sensing techniques which are employed by the unlicensed secondary users in order to detect the spectrum holes. It is, therefore, very important to do this with an optimal method. This inspire us to consider a Uniformly Most Powerful Invariant (UMPI) test as an optimum invariant test for the spectrum sensing problem. To this end, we deve...

The evolution of the Kolmogorov–Zakharov (K–Z) spectrum of weak turbulence is studied in the limit of strongly local interactions where the usual kinetic equation, describing the time evolution of the spectral wave-action density, can be approximated by a PDE. If the wave action is initially compactly supported in frequency space, it is then redistributed by resonant interactions producing the ...

dynamic behavior of ground supported cylindrical storage tanks (cst) is of crucial importance because of its applications in industrial complexes. seismic behavior of tanks is greatly affected by the height to diameter ratio, fluid height and fluid type. five csts with different height to diameter ratios, three csts with the same height and diameters but various fluid heights and one cst with t...

Let G be a finite group and let $GK(G)$ be the prime graph of G. We assume that $n$ is an odd number. In this paper, we show that if $GK(G)=GK(B_n(p))$, where $ngeq 9$ and $pin {3,5,7}$, then G has a unique nonabelian composition factor isomorphic to $B_n(p)$ or $C_n(p)$ . As consequences of our result, $B_n(p)$ is quasirecognizable by its spectrum and also by a new proof, the ...