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Hadamard matrices in cosmic communication

Abstract

Hadamard matrices in cosmic communication

Hvoshch S.T.

Incoming article date: 16.12.2023

The historical aspects of the emergence of the problem of noise-resistant image encoding are considered using the example of delivering photographs of the surface of Mars to Earth. Using the example of generalization of orthogonal matrices by quasi-orthogonal ones, the expansion of the number of matrices for use in image conversion for transmission in noise communication channels is shown.

Keywords: Hadamard matrices, Hadamard coding, Reed-Solomon codes, orthogonal matrices, quasi-orthogonal matrices, noise-resistant image encoding