TY - GEN
T1 - A quaternion-valued reweighted minimisation approach to sparse vector sensor array design
AU - Hawes, Matthew B.
AU - Liu, Wei
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/9
Y1 - 2014/9
N2 - In this work, the design of sparse vector sensor arrays is studied based on quaternionic formulations, which is a further extension of the recently proposed compressive sensing (CS) based design methods. As with the traditional case, sparsity of the solution can be improved by converting the problem into a series of iteratively solved reweighted minimisations, where locations with a small absolute coefficient value are more heavily penalised compared to those with a larger absolute value. Moreover, this reweighted scheme is further modified to incorporate a size constraint into the design so that practical antennas with a non-zero size can fit into the designed locations.
AB - In this work, the design of sparse vector sensor arrays is studied based on quaternionic formulations, which is a further extension of the recently proposed compressive sensing (CS) based design methods. As with the traditional case, sparsity of the solution can be improved by converting the problem into a series of iteratively solved reweighted minimisations, where locations with a small absolute coefficient value are more heavily penalised compared to those with a larger absolute value. Moreover, this reweighted scheme is further modified to incorporate a size constraint into the design so that practical antennas with a non-zero size can fit into the designed locations.
KW - Compressive sensing
KW - Quaternion beamformer
KW - Reweighted l<inf>1</inf> norm minimisation
KW - Sparse array
KW - Vector sensor array
UR - https://www.scopus.com/pages/publications/84940784297
U2 - 10.1109/ICDSP.2014.6900699
DO - 10.1109/ICDSP.2014.6900699
M3 - Conference article published in proceeding or book
AN - SCOPUS:84940784297
T3 - International Conference on Digital Signal Processing, DSP
SP - 426
EP - 430
BT - 2014 19th International Conference on Digital Signal Processing, DSP 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 19th International Conference on Digital Signal Processing, DSP 2014
Y2 - 20 August 2014 through 23 August 2014
ER -