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In this paper, analysis of outage, channel capacity and symbol error rate (SER) analysis of Device-to- Device (D2D) communication systems is presented. The received signals of D2D communication system are affected by multiple co-channel interferers. The channel gain powers are considered to follow Gamma distribution. An expression for probability density function (PDF) expression of the signal-to-interference ratio (SIR) is presented. Based on expression of the PDF, the expressions for the outage, channel capacity and symbol error rate (SER) are presented. The performance of D2D communication system is then numerically analyzed and discussed under various conditions of channel fading and interference.