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14.1 INTRODUCTION In a phased array antenna position and shape of a beam determine the amplitude and phase distributions. In an active array power amplifiers and attenuators implement the desired amplitude distribution, while the phase shifters implement the phase distribution. Because of the manufacturing tolerance, bias instability, and other factors, the magnitude of the output voltage of an amplifier has uncertainty, typically represented by a probability density function. A phase shifter also has a probability density function representing its phase uncertainty. The statistical nature of the element voltage and element phase makes the array pattern nondeterministic. This chapter is concerned with the statistics of the far-field pattern of an active array antenna. In the first part we formulate the probability density function of the far-field intensity in terms of the element amplitude and phase uncertainties. It must be emphasized that we deal with the statistics of the far-field intensity, which is equivalent to the EIRP of an array. We first obtain the statistics of the real and imaginary parts of the array factor and then apply the central limit theorem to deduce the respective probability density functions in closed form. The concept of joint probability is then invoked to deduce the probability density function of the magnitude of the far-field intensity. Simplified expressions of the probability density function at important far-field locations such as at the beam peak, nulls, and peak side lobes are obtained. This is followed by approximate formulas for the 95% confidence boundaries. In the last part, we incorporate the effects of element failure to the array statistics. The numerical results with and without element failure



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40 45 50 EIRP emission level (dBm) 55 60 65 70 75 80 85 90 95 10

Display pane collapse arrows FeatureManager filter PropertyManager tab FeatureManager collapse arrows

Universal Mobile Telecommunications System (UMTS)

(Brown and Duguid, 1991: 48)

You can select the Hold line in the Fillet Options panel of the Face Fillet PropertyManager, as shown in Figure 7.48. The top panel, Fillet Type, is available only when the feature is first created. When you edit it after it has been created, the Fillet Type panel does not appear. As a result, you cannot change from one top level type of fillet to another after it has been initially created.





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and is suitable for either in situ, eld or laboratory measurements. The 9000 XRF Analyser can be operated from a battery/AC line (Figure 5.3.16). Source selection and acquisition are automated through stored, user-de ned analysis procedures. Each data acquisition procedure includes selection of source, acquisition time, computation method and display of analysis results. Components of the microprocessor based analyser include a user interface keypad, LCD display, 2000 MCA, data storage memory and RS-232 communication port. The system may be powered by either an internal battery pack or external AC power with results up to 300 analyses (each with up to 25 elements). The Application

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German, S., 22, 272 Geweke, J., 147, 230, 232, 278 Geyer, C. J., 172, 278 Gilks, W. R., 264, 265, 278 Gill, J., 7, 11, 18, 73, 82, 87, 101, 108, 111, 119 121, 134, 160, 162, 195, 264, 278, 299 Gill, L., 45, 49, 295 Gill, P. E., 73, 76, 84, 85, 156 157, 185, 202, 211, 278 Glanz, J., 2, 278 Gleser, L. J., 78, 279 Glynn, P. W., 265, 268 Goffe, W. L., 101, 279 Goldberg, A., 51, 279 Goldberg, I., 32, 279 Golden, L. L., 102, 270, 300 Goldfeld, S., 84, 204, 279 Golub, G. H., 20, 156, 272, 278 Gong, G., 102, 296 Gonz lez, A., 73, 291 a Good, I. J., 130, 279 Goodman, L., 178, 179, 180, 279 Goodman, O. S., 33, 287 Gorenstein, S., 130, 279 Gough, B., 93, 279 Gould, J., 22, 270 Gove, W. R., 177, 279 Greenberg, E., 126, 272 Greene, W., xv, 5, 21, 106, 151, 279 Griliches, Z., 6, 274, 275, 280 Grillenzoni, C., 5, 279 Grimson, R. C., 6, 298 Grochowski, J., 32, 279 Gujarati, D. N., 20, 279 Gupta, A., 100, 279 Gurmu, S., 6, 279 Gustafson, P., 73, 279 Guthrie, W., 45, 49, 295 Guti terrez, R., 291 e Gutierrez, D., 59, 60, 92, 270 Guttag, J., 22, 272 Guttman, I., 71, 279 H ggstr m, O., 264, 280 a o Haberman, S. J., 85, 279 Hall, A., 22, 272 Hall, B., 6, 98, 202, 269, 280

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them to assess the effectiveness of the current practices and determine what additional practices would be helpful to implement. The team can then use this same infrastructure to implement and monitor any process improvements that they decide to adopt. Similarly, the appropriate infrastructure with well-de ned roles of team members needs to be in place for nondevelopment teams, if such exist. For example, if a requirements team uses a requirements management system, this system should be an integral part of our methodology, seamlessly used by both development and nondevelopment groups.

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