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Journal ArticleDOI

Optimal filter design subject to output sidelobe constraints - Theoretical considerations

TLDR
In this paper, the design of filters for detection and estimation in radar and communications systems with inequality constraints on the maximum output sidelobe levels is considered, and a constrained optimization problem is formulated, incorporating the sidelobe constraints via a partial ordering of continuous functions.
Abstract
The design of filters for detection and estimation in radar and communications systems is considered, with inequality constraints on the maximum output sidelobe levels. A constrained optimization problem in Hilbert space is formulated, incorporating the sidelobe constraints via a partial ordering of continuous functions. Generalized versions (in Hilbert space) of the Kuhn-Tucker and duality theorems allow the reduction of this problem to an unconstrained one in the dual space of regular Borel measures.

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Citations
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Journal ArticleDOI

Envelope-constrained filters--I: Theory and applications

TL;DR: This constrained optimization problem is reduced to an unconstrained dual problem with a nondifferentiable cost and then solved using a steepest ascent algorithm based on directional differentials to provide a versatile alternative to the least-squares methods that are commonly applied to signal processing problems.
Journal ArticleDOI

A semi-infinite quadratic programming algorithm with applications to array pattern synthesis

TL;DR: A new extended active set strategy for optimizing antenna arrays by semi-infinite quadratic programming is presented, applied to a numerical example that deals with the design of a narrow-band circular antenna array for the far field.
Journal ArticleDOI

Envelope constrained filter with linear interpolator

TL;DR: The envelope constrained (EC) filtering problem is the minimization of the noise gain of the filter while satisfying the constraint that its noiseless response to a specified input lies within a prescribed envelope.
Journal ArticleDOI

Optimal filter design subject to output sidelobe constraints: Computational algorithm and numerical results

TL;DR: In this article, an algorithm for the design of optimal detection filters in radar and communications systems, subject to inequality constraints on the maximum output sidelobe levels, is presented, and numerical results are presented.
Journal ArticleDOI

Can Negotiations Prevent Fish Wars

TL;DR: In this article, the standard alternating offer model is extended by integrating it with the Levhari and Mirman fish war model in order to investigate negotiations over fish quota, where disagreement actions are endogenous.
References
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Book

Real and complex analysis

Walter Rudin
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Book

Introduction to Radar Systems

TL;DR: This chapter discusses Radar Equation, MTI and Pulse Doppler Radar, and Information from Radar Signals, as well as Radar Antenna, Radar Transmitters and Radar Receiver.
Book

Optimization by Vector Space Methods

TL;DR: This book shows engineers how to use optimization theory to solve complex problems with a minimum of mathematics and unifies the large field of optimization with a few geometric principles.
Book

Detection, Estimation, And Modulation Theory

TL;DR: Detection, estimation, and modulation theory, Detection, estimation and modulation theorists, اطلاعات رسانی کشاورزی .
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