Research Article Open Access

Computational Intelligence and Application of Frame Theory in Communication Systems

K. Rajupillai1, S. Palaniammal2 and K. Bommuraju3
  • 1 Government College of Technology (Autonomous), India
  • 2 Sri Krishna College of Technology (Autonomous), India
  • 3 Government College of Engineering, India
American Journal of Engineering and Applied Sciences
Volume 8 No. 4, 2015, 633-637

DOI: https://doi.org/10.3844/ajeassp.2015.633.637

Submitted On: 30 January 2015 Published On: 30 October 2015

How to Cite: Rajupillai, K., 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

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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Keywords

  • Hilbert Space
  • Banach Algebra
  • Frame
  • Dual Frame
  • Quasi Normal Operator