Abstract
The issue of the choice of spatial coordinate system which is suitable to physical sense of the radar concept is explored on the basis of the derivation of spatial generalized ambiguity function for MIMO antenna system and of its cross-section analysis. The comparison results of generalized ambiguity function cross-sections for two dimensional target coordinates in Cartesian, spherical and modified spherical coordinate systems are given for orthogonal LFM waveforms radiated by the elements of linear MIMO antenna system transmit. This proves the desirable choice between coordinate systems with regard of physical sense of the current task.
Highlights
The definition of generalized ambiguity function in spatial coordinates is logically used during spatial resolution performance of radar, sonar and remote sensing systems based on MIMO up to date principles
The calculation and the comparison of generalized ambiguity functions in Cartesian and spherical coordinate systems are actual for linear array antennas consisting of transmit and receive elements
Classical spherical coordinate system is introduced as the first alternative to the Cartesian coordinate system and is formed by the Cartesian system z-axis which is normal to the xaxis of linear MIMO antenna array
Summary
The definition of generalized ambiguity function in spatial coordinates is logically used during spatial resolution performance of radar, sonar and remote sensing systems based on MIMO up to date principles (see [1, 2], for example). Generalized ambiguity function is the normalized analog of generalized correlation integral of space-time signal processing for receive elements outputs of MIMO antenna system when point target returns are observed. The calculation and the comparison of generalized ambiguity functions in Cartesian and spherical coordinate systems are actual for linear array antennas consisting of transmit and receive elements.
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