Analysis of the energetic radiation intensity of a linear antenna array, radiating non-sinusoidal signals

A. A. Pokrovski

Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 239-267

Résumé

We present the energetic radiation intensity (ERI) as the quadratic form of the family of integral operators on a finite interval. The kernel of each operator is the autocorrelation function of the signal, which is radiated in the given direction. Spectral representation of the operators gives a fast-converging series representation of the ERI. For the signals, whose Fourier transforms are rational functions of the frequency, spectral analysis of the operators is reduced to finite-dimensional linear systems. Moreover, for such signals we express the ERI as the linear combination of the monochromatic directivity diagram, evaluated in the complex poles of the signal's Fourier transform. For the isotropic array elements and the most important amplitude distributions the ERI is obtained explicitly. We consider in details the signal given by the truncated decaying exponent.

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