Faculty Publications

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    Hybrid LDPC-STBC communications system based on chaos
    (Association for Computing Machinery, 2019) Abdulameer, L.F.; Jignesh, J.D.; Sripati, U.; Kulkarni, M.
    This paper attempts to show a communication strategy of implementing a hybrid of Low-Density Parity Check (LDPC) and Multiple Input Multiple Output (MIMO) based on chaotic technique. Many chaotic techniques which consider a significant part in the information security schemes was proposed, but one of the greatest defy in chaotic communications is the limitation of the system performance due to realistic channel conditions. We have investigated the theory and carried out detailed analysis pertaining to encoding/decoding of chaotic modulation schemes, the use of suitable LDPC coded MIMO schemes for providing secure and reliable communication. The aim of the hybrid scheme is that a correctly designed coded Space Time Block Code (STBC) is used to mitigate the declination of the signal caused by multipath scattering. The Bit-Error Rate (BER) performance of this hybrid scheme with two transmit antennas and two receive antennas under Rayleigh fading model is evaluated. The results indicate that that implementing LDPC (regular and irregular) coded STBC system decrease BER as compared with systems without implementing LDPC code for chaotic communication systems. Mathematical analysis for the hybrid system has been derived and achieved using Matlab. © 2019 Association for Computing Machinery.
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    Dynamics of the iteration operator on the space of continuous self-maps
    (American Mathematical Society, 2021) Murugan, M.; Gopalakrishna, C.; Zhang, W.
    The semi-dynamical system of a continuous self-map is generated by iteration of the map, however, the iteration itself, being an operator on the space of continuous self-maps, may generate interesting dynamical behaviors. In this paper we prove that the iteration operator is continuous on the space of all continuous self-maps of a compact metric space and therefore induces a semi-dynamical system on the space. Furthermore, we characterize its fixed points and periodic points in the case that the compact metric space is a compact interval by discussing the Babbage equation. We prove that all orbits of the iteration operator are bounded but most fixed points are not stable. On the other hand, we prove that the iteration operator is not chaotic. © 2020 American Mathematical Society.