{'fraction_non_alphanumeric': 0.026041666666666668, 'fraction_numerical': 0.004166666666666667, 'mean_word_length': 5.72027972027972, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Shaped beam synthesis of phased arrays using the cross entropy method

This paper describes the shaped‐beam synthesis of phased arrays using the cross entropy (CE) method. The CE method is a general stochastic optimization technique based on minimizing the CE (or Kullback–Leibler divergence) between sets of probability distributions to solve complex multi‐extremal, multi‐objective optimization problems. In this work, the CE method will be utilized to choose the complex weights of array element excitations to control the shape of far‐field radiation pattern side lobe power, main lobe beamwidth, and introduce side lobe notches using amplitude‐only and complex weight synthesis. Compared with similar stochastic techniques previously used to solve this problem, such as the genetic algorithm and particle swarm optimization, the CE method is a competitive alternative, possessing attractive convergence properties. Copyright © 2013 John Wiley & Sons, Ltd.