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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41115
標題: | 向量疊加二次高斯Wyner-Ziv編碼 Vector Superposition Quadratic Gaussian Wyner-Ziv Coding |
作者: | Song-Jheng Lin 林松徵 |
指導教授: | 蘇炫榮(Hsuan-Jung Su) |
關鍵字: | 向量疊加二次高斯Wyner-Ziv編碼,Wyner-Ziv編碼,資料率失真邊界,疊加編碼,二次高斯假設, VSQG-WZC,Wyner-Ziv coding,rate-distortion bound,superpositon coding,quadratic Gaussian case, |
出版年 : | 2008 |
學位: | 碩士 |
摘要: | 本論文主要探討的問題在於,在二次高斯(Quadratic Gaussian)的假設下,如何為Wyner-Ziv編碼理論設計出一套實際的編碼方式。首先,本論文會介紹及討論Wyner-Ziv編碼理論。之後我們會分析在二次高斯的假設下Wyner-Ziv編碼的架構。這個假設之所以會引起廣泛的討論,是因為在此假設下的資料率失真(Rate-distortion)邊界,會等於在編碼器跟解碼器雙方都有附加資訊(Side information)的情況下的資料率失真邊界。在二次高斯Wyner-Ziv編碼的情況下,我們基於疊加編碼(Superposition coding)的理論,提出一種實際的編碼方式。我們稱這項技術為疊加二次高斯Wyner-Ziv編碼,並將它縮寫成SQG-WZC(Superposition quadratic Gaussian Wyner-Ziv coding)。再藉由隨機編碼(Random coding),跟聯合典型性(Joint typicality),來證明SQG-WZC確實可以達到Wyner-Ziv的資料率失真邊界。最後,我們將SQG-WZC延伸到向量的情況下,並且證明向量SQG-WZC可以達到Wyner-Ziv資料率失真邊界。 We present practical codes designed for Wyner-Ziv coding in the quadratic Gaussian case. The structure of Wyner-Ziv coding is first introduced and discussed. Wyner-Ziv coding in the quadratic Gaussian case is then analyzed. This case is of interest since the rate distortion bound in this case is equal to the case that side information is known at both the encoder and decoder. For Wyner-Ziv coding in the quadratic Gaussian case, we propose a practical code design, which is based on superposition coding. This technique is named superposition quadratic Gaussian Wyner-Ziv coding and is abbreviated as SQG-WZC. SQG-WZC is able to achieve the Wyner-Ziv rate distortion bound by using random coding and joint typicality. Finally, we extend SQG-WZC to the vector case and show that the Wyner-Ziv rate distortion bound can also be achieved by vector SQG-WZC. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/41115 |
全文授權: | 有償授權 |
顯示於系所單位: | 電信工程學研究所 |
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