正交多工調變家族於多路徑衰減通道之研究分析

Performance Analysis of OMM Families in Multipath Fading Channels

鍾乃騏(Nai-Chi Chung)

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.2007.00238

摘要

在本篇論文中，我們將討論正交多工調變家族（Orthogonally Multiplexed Modulation，簡稱OMM）於多路徑衰減通道下的效能趨勢。此一家族包含了四種不同的正交多工調變：正交多工正交振幅調變（Orthogonally Multiplexed Orthogonal Amplitude Modulation，簡稱OMOAM）、正交多工正交相位調變（Orthogonally Multiplexed Orthogonal Phase Modulation，簡稱OMOPM）、正交多工開關鍵振幅調變（Orthogonally Multiplexed On-Off-Keyed Amplitude Modulation，簡稱OMO2AM）以及正交多工開關鍵相位調變（Orthogonally Multiplexed On-Off-Keyed Phase Modulation，簡稱OMO2PM）。根據此一家族成員之定義，在指定適當的調變參數與正交基底函數集合，即可囊括各樣嶄新的多載波調變形式，正交分頻多工調變（OFDM）技術也是其中的一個特例。
本論文提出兩種映射方式，以利用正交分頻多工調變系統實現正交多工調變家族，藉由快速傅立業轉換（FFT）完成系統設計。有鑑於多載波調變已廣泛的應用於各種通道環境，本文即分析此系統設計於多路徑衰減通道下之位元錯誤機率，並利用模擬結果印證位元錯誤率之上限與近似值。最後，並探討不同參數的調變家族成員於多路徑衰減通道下其功率效益與頻譜效益之關係，以確立特定參數的調變家族於多路徑衰減通道兼顧功率及頻譜效益之優異效能表現。

關鍵字

正交多工調變 ； 正交振幅調變 ； 正交相位調變 ； 開關鍵訊號 ； 脈衝振幅訊號 ； 多路徑衰減

並列摘要

The orthogonally multiplexed modulation (OMM) families are studied for the multipath fading channels. The OMM families include four different modulation schemes—OMOAM, OMOPM, OMO2AM, and OMO2PM, which provide a multitude of new multidimensional modulations by setting appropriate parameters and basis sets. Orthogonal frequency division multiplexing (OFDM) is one of the specific examples.
In this thesis, by different basis assignments, the OMM signals are mapped to the OFDM signals to suit for fast Fourier transform implementation. Because of various applications of the multidimensional modulations in practical wireless communications, we analysis the error performance of OMM signals in multipath fading channels. Based on the maximum-likelihood decision rule, the upper bounds and approximated upper bounds of the bit error probability are analyzed and verified by the simulation. Finally, the error performance and the spectral efficiency of the OMM families with two types of basis assignments are discussed in terms of different multipath fading channels, and some specific modulation formats are shown to provide good choices of power and spectral efficiencies.

並列關鍵字

Orthogonal multiplexing modulation ； orthogonal amplitude modulation ； orthogonal phase modulation ； on-off-keyed signaling ； pulse amplitude signaling ； multipath fading

參考文獻

【1】 C. D. Chung, "Orthogonally multiplexed orthogonal amplitude modulation fa- mily," IEEE Trans. Commun., vol. 50, pp. 415-428, Mar. 2002.

【2】 C. D. Chung, "Coherent and differentially coherent detections of orthogonally multiplexed orthogonal phase-modulated signals," IEEE Trans. Commun., vol. 51, pp. 428-440, Mar. 2003.

【3】 C. D. Chung and H. S. Liaw, "Orthogonally multiplexed on-off-keyed ampli- tude and phase modulation families," IEEE Trans. Wireless Commun., vol. 4, pp. 288-299, Jan. 2005.

【5】 M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Tech- niques. New York: Inter-University Electronics/McGraw-Hill, 1966.

【6】 M. K. Simon, and D. Divsalar, "Some New Twists to Problems Involving the Gaussian Probability Integra," IEEE Trans. Commun., Feb. 1998.