Computational Intelligence and Application of Frame Theory in Communication Systems
- 1 Government College of Technology (Autonomous), India
- 2 Sri Krishna College of Technology (Autonomous), India
- 3 Government College of Engineering, India
Copyright: © 2020 K. Rajupillai, S. Palaniammal and K. Bommuraju. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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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- Hilbert Space
- Banach Algebra
- Dual Frame
- Quasi Normal Operator