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This paper examines the performance of cooperative the energy estimation and detection circuit of Figure 1. The spectrum sensing, using energy detection, in Suzuki fading decision is made by comparing the decision statistic Y, which channels. Sub-optimal centralized detection approaches are corresponds to energy collected in the observation time T, to an examined where decisions are made based on identical tests appropriate threshold that is traditionally selected to satisfy the performed at the individual radios. Decisions are performed at a false alarm rate specification of the detector. fusion center using a counting rule that encompasses the OR, AND, and majority rules as special cases. Analytical and simulation results are presented for Rayleigh, Log-normal and _ 1 T H Suzuki distributions.To
In this paper, we consider the two‐dimensional (2D) incompressible Boussinesq equations with fractional Laplacian dissipation and thermal diffusion. Attention is focused on the subcritical case when the velocity dissipation dominates. More precisely, we establish the global regularity result of the 2D Boussinesq equations in a new range of fractional powers of the Laplacian, namely 1−α<β
In this paper, we consider the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and fractional vertical thermal diffusion. Global existence of classical solutions is established when the dissipation powers are restricted to a suitable range. Due to the nonlocality of these 1D fractional operators, some of the standard energy estimate techniques such as integration by parts no longer apply, to overcome this difficulty, we establish several anisotropic embedding and interpolation inequalities involving fractional derivatives. In addition, in order to bypass the unavailability of the classical Gronwall inequality, we establish a new logarithmic type Gronwall inequality, which may be of independent interest and potential applications.
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