在不遠的將來，對於低成本高速度短距離無線通訊的需求將變得相當強勁，而超寬頻 (Ultra-wideband, UWB) 正是能夠符合此需求的一項前瞻技術。由於超寬頻訊號的極大頻寬，超寬頻系統能夠提供優於傳統系統的諸多好處，例如在多重路徑通道中的強韌性，能與其他系統共存於相同的頻帶，提供高速的傳輸速度，以及極佳的時間解析度。
相較於由接收端自行產生參考訊號以檢測接收訊號的方式，傳送參考 (Transmitted-Reference, TR) 通訊技術已逐漸在學界與業界間獲得廣泛重視，因為該技術能夠免除超寬頻同調接收機在估測通道的高複雜度以及在時間同步上的嚴格要求，而傳送參考系統只需要使用簡單的自相關接收機即可完成資料檢測。
在本論文中，我們將針對傳送參考超寬頻系統的效能進行研究。雖然先前已有許多該系統效能分析的文獻，但是考慮到實際超寬頻通道統計特性的精確分析結果仍尚未被提出。在本計畫中所考慮的廣義通道架構，將能夠用來描述各種實際的超寬頻通道模型，例如在IEEE 802.15.3a 相關標準制訂中提出的模型。而在此通道架構上所發展出的分析結果，將可進一步應用於系統的設計與最佳化。
我們首先在IEEE802.15.3a 的超寬頻通道模型下精確分析傳統傳送參考系統的訊號干擾雜訊比 (Signal-to-Interference-Plus-Noise Ratio, SINR)，並將此結果進一步應用於系統最佳化上，例如由訊號干擾雜訊比的分析獲致最佳的積分區間長度，以及不同的傳送參考超寬頻系統間的效能比較。在足夠大的脈衝間距假設下，同源訊干擾可被忽略以利簡化分析。

In the near future, there will appear a strong demand for low-cost high-speed wireless technology for short-range communications. One very promising technology for such demand is called ultra-wideband (UWB). Owing to its ultra-wide bandwidth, a UWB system has potential advantages over conventional systems, such as robustness to multipath fading, coexistence with other systems using the same band, high data rate capability, and fine time resolution.
As a low-complexity alternative to conventional locally-generated reference schemes, the transmitted-reference (TR) signaling has been gaining increasing popularity and interests among academia and industry. The TR system has a reference signal transmitted along with the data, which eliminates the need for channel estimation and stringent acquisition. Hence, only a simple autocorrelation receiver is required for data detection.
In this thesis, we pursue a generic framework for a comprehensive study of performance analysis for TR-UWB systems. Even though there were related works in the literature on TR-UWB systems, exact results which can precisely capture realistic UWB channel statistics are still missing. We conduct exact evaluation of the signal-to-interference-plus-noise ratio (SINR) for TR systems over the channel structure adopted by the IEEE 802.15.3a Task Group which can describe various realistic UWB channel phenomena. Large pulse separations are assumed so that inter-pulse, inter-block, and inter-symbol interferences can be ignored in order to reach useful closed form results. System optimization, e.g., finding the best mean channel energy capture ratio for optimal SINR, and the performance comparison among different TR systems are then carried out. Compared with the previous methodology which requires extensive simulations, our analytical results can provide a more efficient and insightful way to receiver design and optimization.

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