In a multichannel system, the transmitter can perform precoding techniques to overcome the sub-channel interference. However, the precoding transformation matrix usually results in high peak to average power ratio (PAPR). In order to avoid inefficiently operating the power amplifier, for a precoded multi-input multi-output (MIMO) system, we consider the system with the PAPR reduction method based on integer reversible mapping which does not introduce redundancy or requires any control signaling. Nevertheless, the conventional decoding for the precoded system cannot be directly applied to our system model, otherwise a significant performance loss in bit error rate incurs. Therefore, we propose a decoding mechanism which uses the list sphere decoding and extracts the soft information for iterative detection and decoding. A noticeable improvement on the error performance is shown in simulations.

1 Introduction-1

2 PAPR Reduction for Precoded Multichannel System-4
2.1 PAPR Reduction Method Based on Integer Reversible Matrix Mapping-4
2.1.1 Approximately Cubic Shaping via Integer Reversible Matrix Mapping-5
2.1.2 Encoding and Decoding of PLUS-7
2.2 Precoded Multichannel System-10

3 Precoded PLUS MIMO System-12
3.1 System Model-12
3.2 PAPR Reduction in Precoded PLUS MIMO System-16
3.3 Proposed Decoding Mechanism with Maximum-Likelihood Detection-18

4 Iterative Detection and Decoding-21
4.1 Iterative Decoding of Precoded PLUS MIMO System-21
4.2 Proposed Decoding Mechanism with List Sphere Decoder-28

5 Simulation Results-33
5.1 Performance of Maximum-Likelihood Detection-33
5.2 Performance of Iterative Decoding-35

6 Conclusion and Future Work-39

Bibliography-41

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