The increasing demand for secure wireless communication requires robust strategies against eavesdropping in the physical layer. This thesis aims to investigate the secrecy capacity of an Amplify-and-Forward (AF) relaying network employing transmit and receive beamforming. The primary objective is to enhance both the security and reliability of data transmission from a source to an authorized destination in the presence of a passive eavesdropper. The system model consists of a source equipped with multiple antennas (NS ), a single-antenna relay using amplify-and-forward (AF) mode, and a destination with multiple antennas (ND). It also includes an eavesdropper that has multiple antennas (NE ). The communication takes place over Nakagami-m fading channels, and path loss is also taken into account. Singular Value Decomposition (SVD) based beamforming is designed for the authorized link to maximize its signal quality. Performance is evaluated through analytical derivations and MonteCarlo simulations for key metrics: outage probability, bit error rate (BER), and ergodic secrecy capacity. The analysis shows that increasing the number of antennas at the source and destination leads to better performance. This improvement is due to enhanced diversity and array gains. Shorter authorized link distances (dSR, dRD) and lower path loss exponents (n) are shown to reduce outage probability and BER. A key finding is that a higher path loss exponent improves system security. This happens when the eavesdropper is located farther from the source or relay compared to the destination. In these cases, the eavesdropper experiences more signal degradation than the intended receiver. This leads to an increase in secrecy capacity. Conversely, increasing authorized link distances while the eavesdropper’s position remains relatively advantageous generally degrades secrecy capacity. The thesis also quantifies the trade-offs associated with varying internode distances and antenna configurations on overall system performance. This research demonstrates that the strategic integration of AF relaying with SVD-based beamforming provides a robust framework to improve secure and reliable communications in fading environments. The findings explains valuable insights for the design of future wireless networks where both confidentiality and robust performance are paramount.