Principle of the OFDM transmission - usage in cellular systems : Property of circulating matrices

Property of circulating matrices
Principle of the OFDM transmission - usage in cellular systems

Author : Xavier LAGRANGE

Review date: September 25, 2024 | Lire en français

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8. Property of circulating matrices

Consider the circulating matrix :

Λ = (\begin{matrix} λ_{0} & λ_{n − 1} & \dots & λ_{1} \\ λ_{1} & λ_{0} & \dots & λ_{2} \\ ⋮ & ⋮ \\ λ_{n − 1} & λ_{n − 2} & \dots & λ_{0} \end{matrix})

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Property of circulating matrices

(1) - BERROU (C.), LE FLOCH (B.), ALARD (M.) - Coded orthogonal frequency division multiplex. - Proceedings of the IEEE, 83(6), p. 982-996, juin 1995.
(2) - LE ROUX (J.) - La transformée de Fourier et ses applications...

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