Performance Analysis of Resource Hopping-Based Grant-Free Multiple Access for Massive IoT Networks

In this letter, we mathematically analyze the bit-error-rate (BER) and frame-error-rate (FER) performance of the resource hopping-based grant-free multiple access (RH-GFMA) systems that were recently proposed for 6G massive Internet-of-Things (mIoT) networks. In the RH-GFMA systems, each IoT device intermittently sends a short-packet to the access point (AP) based on a predetermined resource hopping pattern (HP). Each IoT device may experience HP collisions within the packet, but the effect of HP collisions on error performance can be reduced to be collision-friendly by exploiting multi-antenna-based signal detection and error-correction capability of channel codes. In this letter, hence, we rigorously analyze the effect of HP collisions on the error performance in the RH-GFMA system where repetition codes (RC) and tail-biting convolutional codes (TB-CC) are considered channel coding schemes for satisfying low-complexity and low-latency requirements of mIoT networks. Through computer simulations, we validate that our mathematical analysis is well-matched with the simulation results.