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Research Article · Open access · Published 30 October 2015

Computational Intelligence and Application of Frame Theory in Communication Systems

Rajupillai, K.1, S. Palaniammal2 & K. Bommuraju3

American Journal of Engineering and Applied Sciences, Volume 8, Issue 4, pp. 633–637 · doi.org/10.3844/ajeassp.2015.633.637

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Abstract

In this study, we have to discuss the reduction of noise due to peak amplitude and power ratio in multi carrier modulation scheme like Orthogonal Frequency Division Multiplexing (OFDM) process using Frame theory. The frame operator of the frame which is positive, self adjoint, invertible and it commutes with synthesis operator. If X is dual frame in H with frame operator S and analysis operator T, then T is quasi normal operator. If Y is dual frame for X, T is quasi unitary operator. If T and Q are pseudo inverse and sum of its inverse with its ad joint multiplication is frame operator, then X is Bessel’s sequence and dual frame.

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K., R., Palaniammal, S. & Bommuraju, K. (2015). Computational Intelligence and Application of Frame Theory in Communication Systems. American Journal of Engineering and Applied Sciences, 8(4), 633–637. https://doi.org/10.3844/ajeassp.2015.633.637

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Computational Intelligence and Application of Frame Theory in Communication SystemsAmerican Journal of Engineering and Applied Sciences · Volume 8, Issue 4 · pp. 633–637 · CC BY 3.0Download