# Wavelet-Transform-Based Sparse Code Multiple Access for Power Line Communication

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## Abstract

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## 1. Introduction

#### 1.1. Contribution

- In this paper, the authors suggest DWT-SCMA for the PLC system. Instead of WPT, DWT is adopted due to its sparse structure.
- FFT-SCMA uses MC transmission to reduce multipath fading effects and IUI, although it still has Intercarrier Interference (ICI). The pulse-shaping with DWT instead of FFT can lower ICI, resulting in a higher Signal-to-Interference-Plus-Noise Ratio (SINR).
- In this work, a mathematical expression for SINR is derived for FFT-SCMA and DWT-SCMA. The impact of both techniques on noise and interference is demonstrated through mathematical equations.
- The authors have computed numerical results of FFT-SCMA and DWT-SCMA by taking the PLC channel into consideration. SINR, throughput, PAPR, and Symbol-Error-Rate (SER) are used to evaluate performance in the PLC channel, revealing that DWT-SCMA outperforms FFT-SCMA.

#### 1.2. Organization

## 2. System Model Description

#### 2.1. Channel Response of PLC

#### 2.2. SCMA System Model for PLC

#### 2.3. Decoding for SCMA

#### 2.4. Interuser Interference in PLC-SCMA

#### 2.5. FFT-SCMA System Model for PLC

#### 2.6. DWT-SCMA System Model for PLC

#### 2.7. Capacity

#### 2.8. Theoretical Symbol-Error-Rate

#### 2.9. Peak-to-Average-Power Ratio

## 3. Result Discussion

#### 3.1. SINR Analysis

#### 3.2. Capacity Analysis

#### 3.3. PAPR Improvement

#### 3.4. Comparative Analysis of SER

#### 3.5. Computational Complexity

## 4. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 9.**Average user capacity vs. ${E}_{b}/{N}_{o}$, a comparative analysis among PLC-SCMA and FFT/DWT-SCMA.

Multiaccess Technique | Interuser Interference |
---|---|

PLC-SCMA | $\left|H\right|=0.2263$ dB |

FFT-SCMA | $|{H}_{f}|=0.0230$ dB |

DWT-SCMA | $|{H}_{w}|=0.0093$ dB |

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**MDPI and ACS Style**

Sarwar, M.S.; Baig, S.; Asif, H.M.; Raahemifar, K.; Al-Busaidi, S. Wavelet-Transform-Based Sparse Code Multiple Access for Power Line Communication. *Electronics* **2022**, *11*, 2618.
https://doi.org/10.3390/electronics11162618

**AMA Style**

Sarwar MS, Baig S, Asif HM, Raahemifar K, Al-Busaidi S. Wavelet-Transform-Based Sparse Code Multiple Access for Power Line Communication. *Electronics*. 2022; 11(16):2618.
https://doi.org/10.3390/electronics11162618

**Chicago/Turabian Style**

Sarwar, Muhammad Sajid, Sobia Baig, Hafiz M. Asif, Kaamran Raahemifar, and Samir Al-Busaidi. 2022. "Wavelet-Transform-Based Sparse Code Multiple Access for Power Line Communication" *Electronics* 11, no. 16: 2618.
https://doi.org/10.3390/electronics11162618