Problem
Research questions and friction points this paper is trying to address.
MR-NOMA
bit error rate
Nakagami-m fading
power allocation
quality-of-service
Performance Analysis of MR-NOMA with Arbitrary Number of Users and Symbol Rates
🤖 AI Summary
This study addresses the challenge of evaluating the bit error rate (BER) performance of multi-rate non-orthogonal multiple access (MR-NOMA) over Nakagami-m fading channels under arbitrary user and symbol-rate configurations. A unified analytical framework for the average BER is established, deriving both exact and approximate closed-form expressions. Furthermore, power allocation strategies are designed by integrating signal-to-interference-plus-noise ratio analysis with numerical optimization, and their theoretical accuracy is validated via Monte Carlo simulations. The work reveals the interference cancellation gains arising from symbol duration diversity, elucidating the fundamental mechanisms through which MR-NOMA outperforms conventional single-rate NOMA. Ultimately, the findings demonstrate that this scheme significantly enhances user-pairing flexibility while ensuring reliable transmission, thereby effectively supporting diverse quality-of-service requirements.
📝 Abstract
This paper analytically investigates the bit error rate (BER) performance of downlink multi-rate (MR)-non-orthogonal multiple access (NOMA) over Nakagami-m fading channels for an arbitrary number of users and symbol rates. The analysis is first developed for a three-user case, then generalized to systems with more than three users, yielding an exact BER expression for the first detected user and an accurate closed-form approximations for the remaining users under the perfect-successive interference cancellation (SIC) assumption. These results are further unified into a general average-BER expression over Nakagami-m fading for arbitrary user numbers and symbol-rate configurations. A symbol-pattern-dependent signal-to-interference plus noise ratio (SINR) analysis further shows how the symbol-duration diversity enables inherent interference cancellation, explaining the BER advantage of MR-NOMA over conventional single-symbol rate (SR)-NOMA. An average BER minimization problem is also formulated and numerically solved to optimize the users' power allocation, with simulation results corroborating the analytical findings. Overall, MR-NOMA is shown to offer greater flexibility in user pairing while maintaining reliable BER performance and accommodating diverse quality-of-service (QoS) requirements.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Multi-Rate NOMA
Bit Error Rate
Nakagami-m Fading
Successive Interference Cancellation
Power Allocation
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