We derive a closed-form expression for the message collision probability in the IEEE 802.3ah Ethernet Passive Optical Network (EPON) registration scheme. The expression obtained, although based on an approximation, shows a good match with simulation results. We use the results of our analysis

We derive closed-form expressions for the greeks of a number of types of weather derivative contract under the assumption of a normally distributed settlement index.

Carson’s integral is used in power systems analysis for evaluat-ing the earth-return impedance of overhead conductors above homogeneous earth. Contrary to the widespread belief that it does not evaluate to a closed-form expression, a scrutiny of Carson’s historical (1926) paper reveals

Abstract – Exact closed-form expressions for the expectation of the Linn-Peleg M-PSK lock detector [1] are derived through usage of Fourier series analysis. It is shown that the expectation can be expressed as a summation of a finite number of terms which are composed of exponentials

QuickAssist Technology initiative and its associated Accelerator Abstraction Layer (AAL) are introduced. To demonstrate the NAL system, two closed-form expressions are implemented. These functions are singleprecision floating-point, and make use of arithmetic operations and elementary functions

Abstract—Closed-form expressions of the resistance, capacitance, and inductance for interplane 3-D vias are presented in this paper. The closed-form expressions account for the 3-D via length, diameter, dielectric thickness, and spacing to ground. A 3-D numerical simulation is used to extract

USA. Correspondence may also be sent to the problem editor by electronic mail to 72717.3515 @ compuserve.com on Internet. All correspondence will be acknowledged. Each solution should be on a separate sheet (or sheets) and must be received within six months of publication of the problem. Solutions typed in the format used below will be given preference. Proposers of problems should normally include solutions. Dedication. This year f s column is dedicated to Dr. A. P. Hillman in recognition of his 27 years of devoted service as editor of the Elementary Problems Section. Devotees of this column are invited to thank Abe by dedicating their next proposed problem to Dr. Hillman.

Abstract—Existing exact closed-form expressions for the scalar mutual and self-potential coefficients for rectangular conductors may be ill-conditioned for certain geometries. We propose new, exact, closed-form expressions for potential coefficients that are much better-conditioned. The basic idea

Abstract:- A relationship between small-signal s-parameters and equivalent circuit model for BJTs is presented in this paper. Closed-form expressions for small-signal s-parameters of BJTs derived using intrinsic high-frequency hybrid-π model have been verified against on-wafer measurements from 45

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