We use Lie-theoretic methods to explicitly compute the full spectrum of Laplace--Beltrami operator on homogeneous spheres which occur as geodesic distance in (compact or noncompact) symmetric spaces rank one, and provide a single unified formula for all cases. As an application, we find resonant radii compact case, i.e., where there is bifurcation embedded constant mean curvature spheres, show ...

We present a simple method to improve the performance of turbo codes. Distance spectrum analysis is used to identify information bit positions a ected by low-distance error events, which are few in number due to the sparseness of the spectrum. A modi ed encoder inserts dummy bits in these positions, resulting in a lower and steeper error oor in the bit-error-rate (BER) performance curve. For su...

New images are presented of the supernova remnant (SNR) HB9 based on 408 MHz and 1420 MHz continuum emission and HI-line emission data of the Canadian Galactic Plane Survey (CGPS) by the Dominion Radio Astrophysical Observatory (DRAO). Two methods of spectral index analysis for HB9 are presented and compared: one removes compact sources at both frequencies but is limited to the resolution of th...

In general, an optimal model which has the best effect in a specific application among the different estimated models may not necessarily have the same order as the actual model. The objective of the present paper is to propose a criterion for selecting the optimal order model which gives the minimum ARMA spectral estimation error. The model spectral distance (MSD) is proposed to measure the di...

the electronic conductance at zero temperature through a quantum wire with side-connected asymmetric quantum ring (as a scatter system) is theoretically studied using the non-interacting hamiltonian anderson tunneling method. in this paper we concentrate on the configuration of the quantum dot rings. we show that the asymmetric structure of qd-scatter system strongly influences the amplitude an...