Efficiency Evaluation of a Code Division Multiple Access System Based on a Multilevel Functional Model of Performance Indicators
DOI:
https://doi.org/10.18664/ikszt.v31i2.362295Ключові слова:
code division multiple access system, complex signal, performance indicator, multilevel functional model, functional reduction, reduced functional, energy level; structural level, power-channel level, system levelАнотація
The article considers the problem of evaluating the efficiency of a code division multiple access system that uses ensembles of unequal-energy complex signals. The purpose of the work is to develop an efficiency evaluation procedure for a code division multiple access system based on a multilevel functional model of performance indicators with determination of the set of model levels sufficient for the stated task. The multilevel functional model is treated as a set of levels ordered by the degree of generalization of efficiency estimates. Each level is associated with functionals that determine the corresponding performance indicators. The model includes energy, structural, power-channel and system levels. The energy level is related to the energy composition of the signal ensemble, the structural level is related to mutual-correlation parameters of the signals, the power-channel level is related to the corresponding channel-level parameter, and the system level is related to the final estimate for the stated task. The full model keeps a sequential structure: the indicator of each upper level is determined through the indicator of the previous adjacent level and the parameters that enter the current level. This prevents the system-level indicator from being mixed with the reduced functional used for comparison of variants. The procedure uses functional reduction to determine which level functionals must take part in the reduced functional for a given finite set of compared variants. For each level under consideration, the procedure checks whether there is at least one pair of variants for which the value of the corresponding level functional differs. If all variants have the same value of a level functional, that level does not enter the reduced functional for the considered task. If at least one level satisfies the difference condition, the reduced functional is formed by the mapping that transforms the values of the sufficient level functionals into one numerical efficiency estimate for each variant. The obtained numerical estimates are then used to order the variants according to the selected type of task, minimization or maximization. The practical value of the result is that efficiency evaluation, synthesis or optimization of a code division multiple access system can be performed by the values of the reduced functional, while the full multilevel model remains sequential and the comparison uses only the set of levels that is sufficient for the stated task and the given set of variants.
Посилання
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