A coprime array is capable of achieving more degrees-of-freedom for direction-of-arrival (DOA) estimation than a uniform linear array when utilizing the same number of sensors. However, existing algorithms exploiting coprime array usually adopt predefined spatial sampling grids for optimization problem design or include spectrum peak search process for DOA estimation, resulting in the contradic...

In this paper, it is shown that a linear uncertain system described by a certain L = multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or l-gap metric ball. Hence all the stability robustness results for gap or l-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain sys...

The main purpose of this paper is to revisit the internal/simultaneous/robust stabilization problems without assuming the existence of doubly coprime factorizations for the transfer matrices. Indeed, it has been recently shown in the literature that an internally stabilizable does not generally admit doubly coprime factorizations. Firstly, we give new necessary and sufficient conditions for int...

We study the problem of strongly coprime factorization over H-infinity of the unit disc. We give a necessary and sufficient condition for the existence of such a coprime factorization in terms of an optimal control problem over the doubly infinite discrete-time axis. In particular, we show that an equivalent condition for the existence of such a coprime factorization is that both the control an...

Based on the upper-triangular Hessenberg forms for descriptor linear systems and a method for right coprime factorization of descriptor linear systems using matrix elementary transformations, a simple, neat and numerically stable iterative formula for right coprime factorization of a regular singleinput descriptor linear system is proposed. This iterative formula gives directly the coefficients...

In this paper, rate distortion performance of nested sampling and coprime sampling is studied. It is shown that with the increasing of distortion, the data rate decreases. With these two sparse sampling algorithms, the data rate is proved to be much less than that without sparse sampling. With the increasing of sampling spacings, the data rate decreases at certain distortion, which is because w...

Periodical cicadas are known for their unusually long life cycle for insects and their prime periodicity of either 13 or 17 years. One of the explanations for the prime periodicity is that the prime periods are selected to prevent cicadas from resonating with predators with submultiple periods. This paper considers this hypothesis by investigating a population model for periodical predator and ...

In this paper, we propose a fast search-free method for direction-of-arrival (DOA) estimation with coprime arrays. A coprime array consists of two uniform linear subarrays with inter-element spacings Mλ/2 and Nλ/2, where M and N are coprime integers and λ is the wavelength of the signal. Because uniform linear arrays enjoy many processing advantages over arbitrary geometry arrays, our strategy ...

In this paper, it is shown that a linear uncertain system described by a certain L 1 multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or-gap metric ball. Hence all the stability robustness results for gap or-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain systems...