Rational Arrays for DOA Estimation
Pranav Kulkarni, Palghat P. Vaidyanathan · ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) · 2022
Linear arrays used in array processing usually have sensor positions riλ/2 where λ is the wavelength of the impinging signals and riare integers. This paper considers rational arrays, where riare rational numbers. In particular, sparse rational arrays such as coprime rational arrays are introduced. In order to do this, some rational extensions of integer number theoretic concepts such as greatest common divisor and coprime numbers are required, which are introduced as well. The advantages of rational arrays are demonstrated with the help of rational coprime arrays. For example, they improve the accuracy of DOA estimation when the sensors have to be distributed with a fixed aperture constraint.