Performance Evaluation of Different Coding and Modulation Scheme in LTE Using Different Bandwidth and Correlation Levels

Abstract

Performance of present-generation wireless communication, long term evolution (LTE) is greatly affected by bit error rate (BER). So, objective of this paper is to present a quantitative performance comparison of different modulation techniques based on parameters, BER at different level of signal to noise ratio (SNR) and utilized bandwidth by using different level of correlation in multiple input multiple output (MIMO). The comparative analysis has been done by considering LTE support bandwidths of 1.4, 3, 5, 10, 15 and 20 MHz. This LTE based simulation work for urban areas in a fast moving environment is performed on the basis of different antenna arrays like 2 × 2 and 4 × 4. Comparative evaluation in form of graphical results shows that BER is relatively very low at low level correlation of MIMO and LTE system performance based on the parameter BER is better at 10 MHz bandwidth.

Appendix: Mathematical Calculation of Kronecker Product of Eq. (2)

Let us Consider, the easiest set up of 2 × 2 correlated structure of MIMO to calculate the Kronecker product of complex correlation matrix of UE and eNB.

Taking a correlation matrix for UE as

$$ R_{UE} = \left[ {\begin{array}{*{20}c} 1 & \upsilon \\ {\upsilon^{*} } & 1 \\ \end{array} } \right] $$

and correlation matrix for eNB as

$$ R_{eNB} = \left[ {\begin{array}{*{20}c} 1 & \omega \\ {\omega^{*} } & 1 \\ \end{array} } \right] $$

Then Kronecker product of above two matrices is given by

$$ R_{MIMO} = R_{eNB} \otimes R_{UE} $$

$$ = \left[ {\begin{array}{*{20}c} 1 & \upsilon & \omega & {\omega \upsilon } \\ {\upsilon^{*} } & 1 & {\omega \upsilon^{*} } & \omega \\ {\omega^{*} } & {\omega^{*} \upsilon } & 1 & \upsilon \\ {\omega^{*} v^{*} } & {\omega^{*} } & {\upsilon^{*} } & 1 \\ \end{array} } \right] $$