{'fraction_non_alphanumeric': 0.019067796610169493, 'fraction_numerical': 0.0, 'mean_word_length': 5.654929577464789, '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}}
A Gradient-based Phase-only Synthesis for Solving Q-N problem of Planar Clustered Phased Arrays for Sidelobe Suppression

In this paper, a gradient-based phase-only synthesis approach for solving the Q-N clustering problem of planar clustered phased arrays for sidelobe suppression is presented. Through establishing an appropriate parameterization scheme, the synthesis problem is transformed to an unconstrained continuous problem which is suitable for solving with the gradient-based algorithm. The synthesis is carried out through simultaneously optimizing the clustering variables and the phase variables, and the Q-N problem is addressed without reducing the feasible region of the problem. Typical examples are provided to validate the effectiveness of the proposed approach. Additionally, by considering several steering angles in the proposed synthesis approach, the scanning issue in the clustering problem is clarified and discussed.