近年來隨著資訊科技的快速發展與普及，讓原先藉由無線通訊來傳送的資訊內容大增，也因為如此，無線通訊這方面的研究已從原先的SISO系統，即單天線系統，轉變為可以讓傳輸速度大幅成長的多輸入多輸出(MIMO)系統，即多天線系統。而在目前的無線技術裡，分碼多重存取(CDMA)系統中完全互補碼具有完美的自相關與互相關特性來達到理想通訊，基於以上這些原因，本論文針對尋找理想的空時頻三維碼為主要研究探討重點。
故本論文的第一個部分主要是針對三維的MISO完全互補碼進行很透徹的研究與探討，其中包含要構成完美的MISO完全互補碼的條件以及產生方法，並對其條件進行證明，最後，以其條件與特性分別以兩種不同的方法證明MISO完全互補碼具有完美自相關與完美互相關。
本論文的第二個探討主題為I/Q channel雙天線MIMO碼的部分，我們試圖尋找如何在不減少用戶數及不增加使用頻率來傳送子碼的情況下來增加一支天線之碼組的產生方法，我們研究所發現的碼組可以使用兩種不同產生方法來產生，只是其碼組的產生順序不同，而碼組最大的特性在於任一兩天線的碼組具有100％頻消的特性來克服都普勒的影響及每個用戶與其他用戶之間有50％的機率具有100％時消的特性來克服多路徑干擾進而提升通訊品質。

In recent years, with the rapid development and great popularity of information technology, the throughput requirement of wireless channel has significantly increased, and because of this, research topics in wireless communication systems have been changed from single-input and single-output (SISO) systems to multiple-input and multiple-output (MIMO) systems. Knowing the reasons above and the perfect correlation property of a complementary code set in code division multiple acess (CDMA) systems as well, we focus on searching and developing ideal three-dimensional (i.e. space, time and frequency) code sets in this thesis.

The first part of this thesis is mainly aimed at thorough study and analysis of three-dimensional MISO complementary code sets, including its conditional assumptions and the way of how to generate the code sets. Then, according to its assumptions and properties, we use two different methods to verify the perfect auto-correlation and cross-correlation functions of the proposed MISO complementary code sets, respectively.

The second part of this thesis mainly concentrates on MIMO systems (2X2) using I/Q channel. We try to figure out how to achieve one antenna gain without sacrificing the user number and increasing the required bandwidth. The code set we found in this section can be obtained using two different methods, with the only difference of its generation order. There are two valuable features of these proposed code sets. First, any two different code sets in any two different antennas can completely achieve orthogonality in time-domain. Second, orthogonality in frequency-domain of this system can be completely achieved between one of the users and the rest with a probability of 50%.

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