By Kiseon Kim; Insoo Koo
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Extra resources for CDMA systems capacity engineering
4) i =1 The vertical bars in combination with a vector shall indicate that the absolute values of the elements of the corresponding vector are to be taken. 5) Note that lnC means the vector of the logarithms of the elements of C. Hence, C T ∂ ln C = [∂ C 1 / C1 ∂ C 2 / C 2 L ∂ C n / C n ] . 6) C where S αCji is the ith element of the absolute sensitivity function S α j . 3 Sensitivity of System Capacity with Respect to System Reliability in CDMA Cellular Systems For sensitivity analysis in CDMA systems, a capacity equation that has been driven in many other papers [5, 7–10] can be used.
5) To satisfy the quality requirement, which is one of factors characterizing various services for all user groups, the received Eb/N0s should be greater than the required Eb/N0s. 10), we can derive the relation between the user numbers and the required SIRs. 11) is set to zero. 14) This equation specifies a capacity plane in the N dimensional space. All points (Nv, Nd1, Nd2, …, NdN–1) under the hyperplane represent possible numbers of supportable users in voice and data user groups in a sector.
1 The Significance of Sensitivity Analysis The sensitivity of a system to variations of its parameters is one of the basic aspects in the treatment of systems. The question of parameter sensitivity particularly arises in the fields of engineering where mathematical models are used for the purposes of analysis and synthesis. In order to be able to give a unique formulation of the mathematical problem, the mathematical model is usually assumed to be known exactly. This assumption is unrealistic because there is always a certain discrepancy between the actual system and its mathematical model.
CDMA systems capacity engineering by Kiseon Kim; Insoo Koo