| A detailed Study of 4G in Wireless Communication | 1 |
|---|
| Table of contents | 3 |
| CHAPTER 1 Introduction | 7 |
| 1.1 Introduction to Long term evolution (LTE) | 7 |
| 1.2 Technologies involved | 9 |
| 1.3 Brief History of OFDM | 10 |
| 1.4 Basic Concepts | 12 |
| 1.5 Introduction to OFDM | 13 |
| 1.6 SC-FDMA and OFDMA Tx-Rx Structure | 17 |
| 1.7 Inter - Symbol Interference(ISI) | 19 |
| 1.8 Inter - Carrier Interference | 19 |
| 1.9 Understanding Concept of Cyclic Prefix | 19 |
| 1.10 OFDM using Inverse DFT | 22 |
| 1.11 Advantages of OFDM | 23 |
| 1.12 Disadvantages of OFDM | 23 |
| 1.13 Peak to Average Power Ratio | 24 |
| 1.14 PAPR Reduction Techniques | 24 |
| CHAPTER 2 Literature Review | 26 |
| 2.1 Different methods for Peak-to-Average Power (PAPR) Reduction in Orthogonal Frequency Division Multiplexing (OFDM) | 26 |
| CHAPTER 3 PROBLEM IDENTIFICATION | 34 |
| 3.1 Clipping and Filtering | 37 |
| 3.2 Coding | 38 |
| 3.3 Interleaving | 39 |
| 3.4 Companding | 40 |
| 3.5 Peak Windowing | 40 |
| 3.6 Additive Correcting Function | 40 |
| 3.7 Selected Mapping (SLM) | 41 |
| 3.8 Tone Reservation | 41 |
| 3.9 Tone Injection | 41 |
| 3.10 Selective Scrambling (Interleaving) | 42 |
| CHAPTER 4 METHODOLOGY | 43 |
| 4.1 Objectives | 43 |
| 4.2 Hardware and Software Required | 43 |
| 4.3 Simulation model of OFDM System | 44 |
| 4.4Calculation of PAPR and CCDF of Original OFDM Signal | 46 |
| 4.5 Complimentary Cumulative Distribution Function (CCDF) | 47 |
| 4.6 Calculation of SNR and BER of Original OFDM Signal | 48 |
| 4.7 Criteria for selection of PAPR reduction techniques | 50 |
| 4.8 Definition of Efficient PAPR | 52 |
| CHAPTER 5 PAPR REDUCTION TECHNIQUES | 53 |
| 5.1 SELECTIVE MAPPING | 54 |
| 5.2 Clipping - Based Active Constellation Extension Algorithm | 55 |
| 5.3 Exponential Companding Transform | 58 |
| 5.4 Adaptive Active Constellation Extension Algorithm | 60 |
| CHAPTER 6 PROPOSED METHOD | 64 |
| 6.1 Selected Mapping With Riemann Matrix | 64 |
| 6.2 Concept of Riemann matrices | 65 |
| CHAPTER 7 RESULTS AND DISCUSSION | 69 |
| 7.1 PAPR vs CCDF of Original OFDM Signal | 69 |
| 7.2 BER of Original OFDM Signal | 70 |
| 7.3 PAPR vs CCDF of OFDM Signal by using Selective Mapping (SLM) Technique | 71 |
| 7.4 CCDF Plot for Clipping-Based Active Constellation Extension (CB-ACE) Technique | 73 |
| 7.5 BER Plot for Clipping-Based Active Constellation Extension (CB-ACE) Technique | 74 |
| 7.6 CCDF Plot for Adaptive Active Constellation Extension (Adaptive -ACE) Technique | 76 |
| 7.7 BER Plot for Adaptive Active Constellation Extension (Adaptive -ACE) Technique | 77 |
| 7.8 CCDF Plot for Exponential Companding Technique | 78 |
| 7.9 BER Plot for Exponential Companding Technique | 79 |
| 7.10 CCDF Plot for Proposed Technique- SLM with Riemann Matrix | 80 |
| 7.11 BER Plot for Proposed Technique- SLM with Riemann Matrix | 81 |
| CHAPTER 8 CONCLUSION AND FUTURE SCOPE | 83 |
| RESEARCH PAPER PUBLISHED | 87 |
| REFERENCES | 89 |