Tolerance Analysis of Antenna Array Pattern and Array Synthesis in the Presence of Excitation Errors

Abstract

This paper analyzes array pattern tolerance against excitation errors. The nonprobabilistic interval analysis algorithm is used for tolerance analysis of the nonideal uniform linear array in this work. Toward this purpose, corresponding interval models of the power pattern functions are established, respectively, with the consideration of the amplitude errors, phase errors, or both simultaneously, in antenna arrays. The tolerance for the amplitude-phase error of the main function parameters including the beamwidth, sidelobe level, and the directivity is simulated by computer according to the indicators and the actual requirements. Accordingly, the worst admissible performance of an array can be evaluated, which may provide theoretical reference for optimal antenna array design. As for the problem of array synthesis in the presence of various array errors, interval analysis-convex programming (IA-CP) is presented. Simulation results show that the proposed IA-CP based synthesis technique is robust for the amplitude and phase errors.

Research on Quantization Error Influence of Millimeter-Wave Phased Array Antenna

“…Conventional phased array antennas have problems such as greater complexity and high cost [16]; we can use digital technologies splice digital array unit formed of different sizes and form fronts to reduce design difficulty [17]. However, in practical engineering, there are extensive excitation errors caused by amplitude and phase changes [18], as well as deformation errors caused by processing and using. erefore, in order to achieve the expected antenna sidelobe requirements and obtain a stable array design, it is necessary to perform error analysis on the assembled antenna array [19].…”

Fresnel-Zone Focused Antenna Arrays: Tolerance Analysis for Biomedical Applications

“…The above expressions can be useful for estimating the punctual (namely, for fixed (R, ϕ)) percentiles of P (R, ϕ). In fact, the η-per-cent level curve (in general, level surface) r η (R, ϕ) (with 0 ≤ η ≤ 100), which is such that P r {P (R, ϕ) ≤ r η (R, ϕ)} = η%, can be achieved first by setting P r = η%; then, by determining the Mahalanobis distance a with the assumption that ( 19) is an equality; afterwards, by computing F R and F I as functions of t by means of (20); finally, by reckoning the radius ξ through (21), taking into account that, in this circumstance, r η (R, ϕ) ≈ ξ for the generic point (R, ϕ).…”

“…The problem of errors characterization in antenna arrays plays a crucial role, as confirmed by the extensive literature at regards. However, most existing works have been focused on the evaluation of the impact the above errors give on the farfield [3][7]- [15][18] [19] [21], while only a few studies have been addressed to the radiative near-field [20]. This last context is particularly relevant when considering systems designed for security, medical and industrial applications [22] [23].…”

Tolerance Analysis of Near-Field Focused Arrays to Safe-for-Humans Microwave and RF Applications

“…Interesting results have also been obtained in statistical antenna theory [25]. It is worth highlighting that the problem of random errors in antenna arrays is still a current problem that needs to be adequately taken into account [26]- [28]. It is also worth noting that tolerance theory shares strong similarities with the probabilistic analysis/synthesis of nonuniformly spaced (far-field) antenna arrays [29]- [35] and the collaborative beamforming in ad-hoc sensor networks [36].…”