Analysis and synthesis of circular UWB arrays

Pulsed arrays are collecting growing interest in many applications such as automotives, ground penetrating radar, Tera-Hertz imaging, and indoor tracking. This contribution presents the analytic derivation of the space-time and energy patterns of pulsed circular arrays in terms of geometrical and electrical parameters as well as of the distortion effect of the antennas. It is shown that the field emitted by a dense array can be represented as a summation of a practically finite set of high-order Hermite-Rodriguez waveforms, while the energy pattern is a generalized Hypergeometric Function. The angular and temporal resolution are finally related, through handy formulas, to the array size, to the input signals and to the antenna types.