Our proposed key stream derived from shared key generation process based on received signal strength (RSS) represents pseudonymous identities (PIDs) utilized in an anonymous authentication is obtained through an interactive connection between communicating mobile users and an authorized entity taken over by a Group Manager (GM). This process goal is fetching some credentials in advance, when mobile users actively and anonymously are playing their role in the system. These PIDs could be embedded in the credential equipped to the participating mobile users. They should be usually unique and must be secured from any adversary when doing any either attack or treat. In this paper, our proposed shared key generation derived from RSS between communicating mobile users and GM provides unique PIDs. Then, the embedded PID at an epoch time as a part of mobile users secret key together with credential components are used for signing a message anonymously. Based on PID at epoch time and updated revocation list obtained from GM, verifier user ensures the validity of signature. The measurement scenario of system performance is done by varying the traffic conditions either quiet or crowded to create communication impairment combined with mobile users' speed varying on 20 km/h, 40 km/h, and 60 km/h respectively. The ping time interval is varied as well, it is configured to 7 ms, 10 ms, and 20 ms, respectively. Here, the result of evaluation showed that PIDs generation works properly by the number of generated PIDs up to 11 with the highest correlation is achieved up to 0.99. Meanwhile, quantization algorithm works properly for 3000 or more ICMP packets and achieves zero key disagreement rate (KDR). Total signing and verification times are sufficient practical about 90 ms and 100 ms, respectively.