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A node of wireless mesh network could be a supplicant and an authenticator at the same time, which is under the risk of man in the middle (MITM) attack when authenticating with EAP-TLS protocol. Bi-directional authentication implemented by challenge signature and verification based on identity based signature (IBS) is introduced to avoid MITM attack. A simplified access control system which obviates multiple authentications is designed by adoption of service tickets. Requisition of PKI deployment is removed to keep the system simple and easy to maintain.