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Cellular communication is the most important technology in modern digital communication system. Cellular wireless networks are more vulnerable to unauthorized access and eavesdropping. The traditional security algorithms ensure the security of voice signals between the mobile station and base station and authentication of users while the transmission of the voice signals in between base stations are not protected. That means the traffic is transmitted in plain text in the core network. This paper focuses on the security techniques between the base stations in cellular communication system. The paper consists of some successive steps to ensure security against the vulnerabilities of the current GSM architecture by measures taken for base stations using private and public key cryptography. Finally, a comparative analysis is given considering factors like cost, efficiency and performance in comparison with the existing security techniques.