A Novel Deep Learning-Assisted Microwave Photonic Direction Finding System Based on Long-Baseline Array
Yin Li, Qiaosong Cai, Jie Yang, Tong Zhou, Yuanxi Peng, Tian Jiang
Abstract
We propose and demonstrate a deep learning-assisted photonic approach for measuring the angle-of-arrival (AOA) with high-precision, which is suitable for long-baseline direction finding (DF). A non-uniform linear array with long-baseline is constructed to increase the precision of AOA estimation and to deal with the problem of ambiguity. The system realizes AOA-to-Voltage mapping by using dual-drive Mach Zehnder modulator (DDMZM) as phase detector and envelope detection in electrical domain. Finally, a deep neural network with long-short term memory (LSTM-DNN) is used for post-processing to establish a mapping relationship between the envelope voltage and real AOA, which not only simplifies the measurement process without phase calibration and transformation between phase difference and AOA, but also compensates the defects of the optoelectronic system and effectively improves the AOA estimation performance. Results obtained using the proposed structure demonstrate less than 0.3405 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^\circ$</tex-math></inline-formula> errors over a -80 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^\circ$</tex-math></inline-formula> to 80 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^\circ$</tex-math></inline-formula> AOA measurement range, and the mean absolute error (MAE) and root mean square errors (RMSE) are 0.1438 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^\circ$</tex-math></inline-formula> and 0.3923 <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$^\circ$</tex-math></inline-formula> respectively.