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 Φ n   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.
['Jason C. Isaacs', 'Rodney G. Roberts']
Constructions of equiangular tight frames with Genetic Algorithms