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The last decade has seen an explosive growth in wireless network services and consequently an increasing demand of high data rates on wireless networks, and the demand of users on real-time traffic is growing. The quality of service (QoS) requirements of different applications are different, for example, the real-time applications are delay-sensitive, yet can tolerant certain data loss. An intrinsic characteristic of radio communication is that the instantaneous radio-channel quality varies in time. Since stochastic network calculus takes the stochastic characteristics of traffic and service processes into consideration to make better use of their statistical multiplexing gains, so we take the 3GPP long term evolution (LTE) as the background, and construct a framework of analyzing the performance of the LTE networks by modeling the arrival model and the service model using stochastic network calculus. Numerical analyses are conducted to prove the effectiveness of the framework.