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。
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.