Capacity Analysis of Device-to-Device mmWave Networks under Transceiver Distortion Noise and Imperfect CSI

Device-to-device (D2D) communication is a promising paradigm for the next-generation networks that enables high speed and low latency communication without the use of base station resources. Existing works in D2D networks consider ideal transceiver electronics while evaluating the ergodic capacity of the system. This work develops a tractable analytical framework that studies ergodic capacity for the overlay analog beamformed D2D assisted 5G millimeter wave network under transceiver distortion noise, imperfect channel state information and interference from neighboring device nodes. Moreover, closed-form expressions for the exact, upper, and lower ergodic capacity bounds are derived and verified through Monte Carlo simulations. Besides, simplified ergodic capacity formulas were derived by using saddlepoint approximations of the probability density function of the summation of $M$ independent and non-identically distributed gamma random variables.