Sparse Rectangular Array with Reduced Mutual Coupling for Active Sensing

Sparse sensor arrays offer a cost effective alternative to uniform arrays. By utilizing the co-array, a sparse array can match the performance of a uniform array, despite having significantly fewer sensors. However, even sparse arrays may have many closely spaced elements, which can deteriorate the array performance through mutual coupling. This paper proposes a novel sparse planar array with very few unit element displacements for reducing mutual coupling. This Concentric Rectangular Array (CRA) is designed for active sensing tasks, such as radar and medical ultrasound, in which the same elements are used for both transmission and reception. The properties of the CRA are compared to two established sparse arrays: the Boundary Array and the Minimum-Redundancy Array (MRA). In some cases, the CRA is the MRA with the fewest closely spaced elements.

[1]  Michael F. Challis Two New Techniques for Computing Extremal h-bases Ak , 1993, Comput. J..

[2]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[3]  Saleem A. Kassam,et al.  Array redundancy for active line arrays , 1996, IEEE Trans. Image Process..

[4]  Saleem A. Kassam,et al.  High resolution coherent source location using transmit/receive arrays , 1992, IEEE Trans. Image Process..

[5]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[6]  Richard J. Kozick,et al.  Linear imaging with sensor arrays on convex polygonal boundaries , 1991, IEEE Trans. Syst. Man Cybern..

[7]  Don H. Johnson,et al.  Array Signal Processing: Concepts and Techniques , 1993 .

[8]  Moeness G. Amin,et al.  Mutual coupling effect and compensation in non-uniform arrays for direction-of-arrival estimation , 2017, Digit. Signal Process..

[9]  B. Wichmann A Note on Restricted Difference Bases , 1963 .

[10]  M.G. Amin,et al.  Design and implementation of near-field, wideband synthetic aperture beamformers , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Hon Tat Hui,et al.  A Note on the Mutual-Coupling Problems in Transmitting and Receiving Antenna Arrays , 2009, IEEE Antennas and Propagation Magazine.

[12]  Pai-Chi Li,et al.  Optimizing the radiation pattern of sparse periodic linear arrays , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Fauzia Ahmad,et al.  Coarray analysis of the wide-band point spread function for active array imaging , 2001, Signal Process..

[14]  Visa Koivunen,et al.  Sparse linear nested array for active sensing , 2017, 2017 25th European Signal Processing Conference (EUSIPCO).

[15]  P. P. Vaidyanathan,et al.  Super Nested Arrays: Linear Sparse Arrays With Reduced Mutual Coupling—Part I: Fundamentals , 2016, IEEE Transactions on Signal Processing.

[16]  P. P. Vaidyanathan,et al.  Hourglass Arrays and Other Novel 2-D Sparse Arrays With Reduced Mutual Coupling , 2017, IEEE Transactions on Signal Processing.

[17]  A. Moffet Minimum-redundancy linear arrays , 1968 .

[18]  S. Unnikrishna Pillai,et al.  An algorithm for near-optimal placement of sensor elements , 1990, IEEE Trans. Inf. Theory.

[19]  Ioannis G. Tollis,et al.  Difference bases and sparse sensor arrays , 1993, IEEE Trans. Inf. Theory.

[20]  P. Stoica,et al.  MIMO Radar Signal Processing , 2008 .

[21]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[22]  I. Gupta,et al.  Effect of mutual coupling on the performance of adaptive arrays , 1983 .