分支消除相關性編碼正交分頻多工系統之研究

Abstract

在本篇論文中，我們將探討一新系統-分支消除相關性編碼正交分頻多工 (Correlatively Coded OFDM with Trellis Purging，簡稱 PCE-OFDM)系統之錯誤率與頻譜的效能。首先會說明相關性編碼正交分頻多工系統(Correlatively Coded OFDM，簡稱 CE-OFDM)編碼過程的籬笆 (Trellis)結構如何利用訊號標誌的集合分割（Signal label Set Partitioning）與消除分支的規則(Purging Rule)去得到所需的分支消除相關性編碼正交分頻多工系統的籬笆結構。接著利用籬笆結構所實現的編碼器，我們可以去探討分支消除相關性編碼正交分頻多工訊號的功率頻譜密度（Power Spectral Density）是否也擁有與相關性編碼正交分頻多工訊號一樣的快速衰減的邊葉。最後，經由模擬的方式探討未編碼、相關性編碼和分支消除相關性編碼正交分頻多工系統的錯誤率分別在可加成性高斯白雜訊通道與雙路徑衰減通道下的表現。

In this thesis, we will discuss the error performance and power spectrum on the correlatively coded OFDM with trellis purging (PCE-OFDM). First, PCE-OFDM trellis assignment can be derived from correlatively coded OFDM (CE-OFDM ) trellis structure by using signal label set partitioning and purging rules. The power spectral density (PSD) of transmitted PCE-OFDM signal can then be analyzed after realizing the encoder for given PCE-OFDM trellis structure. Second, PCE-OFDM is shown to provide the same extremely small sidelobes as CE-OFDM. Eventually, we study the bit error rate (BER) characteristics among uncoded and CE-OFDM and PCE-OFDM on Additive white Gaussian noise (AWGN) and tow-ray fading channels.