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Two backtrack algorithms for the radio frequency intermodulation problem

Two backtrack algorithms for the radio frequency intermodulation problem Two or more radio signals, transmitted from a small platform (e.g., a ship, satellite, or airplane, etc.), tend to produce an intermodulation product which could distort a receive signal. The intensity of intermodulation interference due to a given intermodulation frequency is known to be closely related to the lowest order, or simply the order, of the intermodulation product which can be found by solving a single constraint integer program with variables unrestricted in sign, where coefficients of the constraint equation correspond to frequencies. Two variations of backtrack, or search enumeration, algorithms, called the primal and dual backtrack algorithms, are developed to find the order of intermodulation. Extensive computational experience with these algorithms, reflecting data from naval fleet communication scenarios and potential ramifications, are given together with another application of the dual algorithm. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Two backtrack algorithms for the radio frequency intermodulation problem

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 1980 by Springer-Verlag New York Inc
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01442896
Publisher site
See Article on Publisher Site

Abstract

Two or more radio signals, transmitted from a small platform (e.g., a ship, satellite, or airplane, etc.), tend to produce an intermodulation product which could distort a receive signal. The intensity of intermodulation interference due to a given intermodulation frequency is known to be closely related to the lowest order, or simply the order, of the intermodulation product which can be found by solving a single constraint integer program with variables unrestricted in sign, where coefficients of the constraint equation correspond to frequencies. Two variations of backtrack, or search enumeration, algorithms, called the primal and dual backtrack algorithms, are developed to find the order of intermodulation. Extensive computational experience with these algorithms, reflecting data from naval fleet communication scenarios and potential ramifications, are given together with another application of the dual algorithm.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Mar 23, 2005

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