頻譜預編碼正交分頻多工系統在有頻率飄移及維納相位雜訊下的錯誤率分析

Error Probability Analysis of Spectrally Precoded OFDM System with Frequency Offset and Wiener Phase Noise

林克彊(Ko-Chiang Lin)

指導教授 ： 鐘嘉德

國立臺灣大學/電機資訊學院/電信工程學研究所/碩士(2007年)

https://doi.org/10.6342/NTU.2007.00547

摘要

在本篇論文中，頻譜預編碼正交分頻多工(Spectrally Precoded OFDM)系統在有頻率漂移(Frequency Offset)及維納相位雜訊(Wiener Phase Noise)下的錯誤率表現，分別在白高斯雜訊通道(AWGN Channel)、延遲擴散通道(Delay Spread Channel)、雷利衰減通道(Rayleigh Fading Channel)、雙路徑衰減通道(Two Ray Fading Channel)中以鮑利爾級數(Beaulieu Series)做了分析。藉由在個別通道中的特徵函式的推導，計算在有頻率飄移下的確切錯誤率。我們以高斯近似來處理維納相位雜訊造成之次載波間相互干擾的成分。
次載波間相互干擾會造成正交分頻多工系統之效能衰退，我們比較了頻譜預編碼正交分頻多工系統與未編碼正交分頻多工系統的平均符元錯誤率。因為預編碼正交分頻多工系統有較佳之頻譜效率，故本篇也檢驗預編碼正交分頻多工系統是否比未編碼正交分頻多工系統有較少之衰退。

關鍵字

頻譜預編碼正交分頻多工系統 ； 載波間相互干擾 ； 頻率飄移 ； 維納相位雜訊 ； 鮑利爾級數

並列摘要

In this thesis, error performance of spectrally precoded OFDM with frequency offset and Wiener phase noise is analyzed on AWGN channel, delay spread channel, flat fading Rayleigh channel, and two ray fading channel, with the help of Beauliu series. Characteristic functions on specific channels are derived upon which exact error probability is given for frequency offset case. A Gaussian approximation is made while dealing with the Inter-Carrier Interference (ICI) caused by Wiener phase noise.
ICI degrades the performance of OFDM system. Comparing average symbol error probability between spectrally precoded OFDM and uncoded OFDM is presented. Since spectrally precoded OFDM has higher spectral efficiency, we tend to examine whether the degradation of spectrally precoded OFDM is less than uncoded OFDM.

並列關鍵字

Spectrally Precoded OFDM ； Inter-Carrier Interference (ICI) ； Frequency Offset ； Wiener Phase Noise ； Beaulieu Series

參考文獻

【1】 C.D. Chung, “Spectrally precoded OFDM,” IEEE Trans. Commun., Volume 54, No.12, Dec. 2006 pp.2173 – 2185.

【2】 C.D. Chung, “Spectral precoding for rectangularly pulsed OFDM,” IEEE Trans. Commun., submitted for publication, 2006.

【3】 N. C. Beaulieu, "An infinite series for the computation of the complementary probability distribution function of a sum of independent random variables and its application to the sum of Rayleigh random variables," IEEE Trans. Commun., vol. 38, pp. 1463-1474, Sept. 1990.

【4】 C. Tellambura, A.Annamalai,‘Further results on the Beaulieu series,” IEEE Trans. Commun., Volume 48, No. 11, Nov. 2000 pp.1774 - 1777

【5】 Beaulieu, N.C, “The evaluation of error probabilities for intersymbol and cochannel interference,” IEEE Trans. Commun., Volume 39, No. 12, Dec. 1991 pp.1740 – 1749.