Ten lectures on wavelets
Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Introduction to Stochastic Search and Optimization
Introduction to Stochastic Search and Optimization
Designing structured tight frames via an alternating projection method
IEEE Transactions on Information Theory
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Equiangular tight frames have applications in communications, signal processing, and coding theory. Previous work demonstrates that few real equiangular tight frames exist for most pairs (n, d), where the frame Φn,d is a d×n matrix with d≤n. This work proposes a genetic algorithm as a solution to the frame design problem. Specifically, the problem of designing real equiangular tight frames by minimizing the subspace minor angle sum-squared error. Numerical experiments show that the proposed method is successful for pairs (n, d) with d less than nine.