在本篇論文中,我們針對降低正交分頻多工(Orthogonal Frequency Division Multiplexing,簡稱 OFDM)系統中所產生的峰對平均功率比(Peak-to-Average Power Ratio,簡稱 PAPR)的方法,提出了一個在子載波不同的情況下,峰對均包絡功率比(Peak-to-Mean-Envelope-Power Ratio,簡稱 PMEPR)的上界。我們用來比較的對象是現存的部分傳輸序列(Partial Transmit Sequence,簡稱 PTS)與選擇性映射(Selective Mapping,簡稱 SLM)的改良技術,藉由模擬結果將他們的效能與上界的值做比較,達到以我們推導的上界來預測PAPR最大值範圍的目的。由於欲比較的幾種改良演算法都是目前效能不錯的方法,因此在效能符合我們提出的上界為前提下,我們也詳細的分析演算法的計算複雜度,藉此評估演算法確實適合實際上的應用,因此從本篇論文中,利用峰對均包絡功率比的上界,可以很容易的得知一個降低峰對平均功率比方法的效能優劣以及它的實用性。
In this paper, we focused on the method of peak-to-average-power ratio (PAPR) reduction in orthogonal frequency division multiplexing (OFDM) systems, proposing a upper bound of peak-to-mean-envelope-power ratio (PMEPR) when the number of sub-carrier is different. We want to compare it with improved partial transmit sequence (PTS) and selective mapping (SLM) techniques. The objective is that predicting the PAPR maximum range with our proposed PMEPR upper bound by the simulation result of comparing the PMEPR performance and upper bound value. Due to these algorithms we compared have excellent performance, we analyze their computational complexity under the condition that these algorithms meet our upper bound so as to evaluate that these improved methods are suitable for practical application. Therefore, it is easy to determine the performance and practicability of a PAPR reduction method by using PMEPR upper bound in this thesis.