The performance of an uplink Large Scale MIMO system with MMSE-SIC detector

A Bayesian Receiver with Improved Complexity-Reliability Trade-off in Massive MIMO Systems

“…The reliability of the MMSE detector can be improved by integrating the MMSE detector with iterative interference cancellation (IC) scheme. Specifically, MMSE detectors with parallel IC (PIC) and successive IC (SIC) were proposed in [11] and [12], respectively. The MMSE-SIC provides a better BER performance compared to the MMSE-PIC detector at the expense of an increased processing delay.…”

“…The variance of the BSE module in the 𝑡-th iteration is expressed as Fig. 3: The number of multiplications needed by the HI [15], HF [16], AMI [13], PIC-DSC [19], MMSE [9], MMSE-SIC [12], AMP [28], OAMP [30], D-EP [27], EP-NSA [24], EPA [26], EP [21], B-PIC-DSC, and IB-PIC-DSC detectors Although (23) is just a restatement of (11), we write it to emphasize that 𝑥 (𝑡) PIC,𝑘 in (23) must follow Assumption 1, expressed in (19). We can then iterate the computation of (𝑣 (𝑡) , 𝑉 (𝑡) 𝑘 ) in ( 20) or ( 21) and (23) until 𝑣 (𝑡) converges to a certain value, 𝑣 (𝑡) − 𝑣 (𝑡−1) ≤ 𝜁 .…”

“…The BER approximation can be used to predict the performance of the proposed detectors with high accuracy as shown in VII-B. In practice, we can use the BER approxima- (𝑁 + 1)𝐾 2 + 𝑁 2 𝐾 + 𝑁𝐾 MMSE-SIC [12] 𝐾 𝑘=0 ((𝑁 + 1)𝑘 2 + 𝑁 2 𝑘 + 𝑁 𝑘) PIC-DSC [19] 4(𝑁 + 1)𝐾𝑇 PIC AMP [28] (4𝑁𝐾 + 8𝑁 + 6𝐾 + 4𝑀𝐾)𝑇 AMP OAMP [30] (𝐾 − 1)𝑁𝐾 + (2𝑁…”

“…The PIC-DSC detector [19] is a low complexity detector that has a similar performance to that of the MMSE detector [18]. The MMSE-SIC detector [12] can improve the performance of the MMSE detector at the cost of higher complexity. The EP-NSA, D-EP, and EPA detectors are recent low complexity detectors that can approach the performance of the EP detector [21].…”

“…𝑘 and x (𝑡−1) 𝑘 can be used to smoothen transition between iterations using the linear combination in (12).…”