Enabling URLLC under $\kappa-\mu$ Shadowed Fading

Enabling ultra-reliable and low latency communications (URLLC) under severe fading is really challenging. We study how to realize URLLC under $\kappa-\mu$ shadowed fading, because we can unify multiple traditional fading models by using the $\kappa-\mu$ shadowed fading model. For the MIMO system with two single-transmit-antenna users and $L$ receive antennas, we derive the probability density function (PDF) of the signal-to-noise ratio (SNR) of minimum mean squared error detection. In particular, we accomplish the above work in both perfect channel state information (CSI) and imperfect CSI. Then, the error probability can be calculated by the finite blocklength information theory, in accordance with constrained latency and given length of pilots. The simulation results show that we can configure the system parameters according to the $\kappa-\mu$ parameters, to satisfy the requirements for both latency and reliability. Hence, multiple fading models can be unified by the $\hslash-\mu$ shadowed fading model to study how to realize URLLC.