Weighted Fekete Points on the Real Line and the Unit Circle
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DOI: 10.1007/s40315-020-00317-w
Abstract: Weighted Fekete points are defined as those that maximize the weighted version of the Vandermonde determinant over a fixed set. They can also be viewed as the equilibrium distribution of the unit discrete charges in… read more here.
Keywords: weighted fekete; real line; unit circle; fekete points ... See more keywords
Optimal tracking and disturbance rejection with invariant zeros on the unit circle: a polynomial spectral factorization design
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DOI: 10.1016/j.ifacol.2017.08.174
Abstract: Abstract We present a simple algorithm for computation of H 2 -optimal tracking and disturbance rejection controller of discrete-time systems possessing invariant zeros on the unit circle, based on polynomial spectral factorization. We prove that… read more here.
Keywords: zeros unit; unit circle; disturbance rejection; tracking disturbance ... See more keywords
Random Bernstein–Markov factors
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DOI: 10.1016/j.jmaa.2018.12.061
Abstract: For a polynomial $P_n$ of degree $n$, Bernstein's inequality states that $\|P_n'\| \le n \|P_n\|$ for all $L^p$ norms on the unit circle, $0 read more here.
Keywords: vert; vert vert; value vert; unit circle ... See more keywords
R type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
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DOI: 10.1016/j.laa.2018.10.005
Abstract: We consider a sequence of polynomials $\{P_n\}_{n \geq 0}$ satisfying a special $R_{II}$ type recurrence relation where the zeros of $P_n$ are simple and lie on the real line. It turns out that the polynomial… read more here.
Keywords: type recurrence; unit circle; eigenvalue problem; recurrence ... See more keywords
Experimental investigation of the unit circle minimum variance distortionless response adaptive beamformer
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DOI: 10.1121/1.5014477
Abstract: Source masking occurs when loud interferers produce high side lobes in the conventional beamformer (CBF) scanned response, obscuring the true direction-of-arrival of the desired signal. The minimum variance distortionless response (MVDR) adaptive beamformer (ABF) places… read more here.
Keywords: beamformer; response; unit; unit circle ... See more keywords