TY - JOUR
T1 - The Random Frequency Diverse Array
T2 - A New Antenna Structure for Uncoupled Direction-Range Indication in Active Sensing
AU - Liu, Yimin
AU - Ruan, Hang
AU - Wang, Lei
AU - Nehorai, Arye
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2017/3
Y1 - 2017/3
N2 - In this paper, we propose a new type of array antenna, termed the random frequency diverse array (RFDA), for an uncoupled indication of target direction and range with low system complexity. In RFDA, each array element has a narrow bandwidth and a randomly assigned carrier frequency. The beampattern of the array is shown to be stochastic but thumbtack-like, and its stochastic characteristics, such as the mean, variance, and asymptotic distribution are derived analytically. Based on these two features, we propose two kinds of algorithms for signal processing. One is matched filtering, due to the beampattern's good characteristics. The other is compressive sensing, because the new approach can be regarded as a sparse and random sampling of target information in the spatial-frequency domain. Fundamental limits, such as the Cramér-Rao bound and the observing matrix's mutual coherence, are provided as performance guarantees of the new array structure. The features and performances of RFDA are verified with numerical results.
AB - In this paper, we propose a new type of array antenna, termed the random frequency diverse array (RFDA), for an uncoupled indication of target direction and range with low system complexity. In RFDA, each array element has a narrow bandwidth and a randomly assigned carrier frequency. The beampattern of the array is shown to be stochastic but thumbtack-like, and its stochastic characteristics, such as the mean, variance, and asymptotic distribution are derived analytically. Based on these two features, we propose two kinds of algorithms for signal processing. One is matched filtering, due to the beampattern's good characteristics. The other is compressive sensing, because the new approach can be regarded as a sparse and random sampling of target information in the spatial-frequency domain. Fundamental limits, such as the Cramér-Rao bound and the observing matrix's mutual coherence, are provided as performance guarantees of the new array structure. The features and performances of RFDA are verified with numerical results.
KW - Array antenna
KW - Cramér-Rao bound
KW - compressive sensing
KW - frequency diverse
UR - http://www.scopus.com/inward/record.url?scp=85015202035&partnerID=8YFLogxK
U2 - 10.1109/JSTSP.2016.2627183
DO - 10.1109/JSTSP.2016.2627183
M3 - Article
AN - SCOPUS:85015202035
SN - 1932-4553
VL - 11
SP - 295
EP - 308
JO - IEEE Journal on Selected Topics in Signal Processing
JF - IEEE Journal on Selected Topics in Signal Processing
IS - 2
M1 - 7740037
ER -