Unit time-phase signal sets: Bounds and constructions
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- 作者：Cunsheng Ding (1)
Keqin Feng (2)
Rongquan Feng (3)
Maosheng Xiong (4)
Aixian Zhang (5) - 关键词：Codebooks ; Digital signals ; Phase distortion ; Sequences ; Signal sets ; Time distortion ; Time ; phase signal sets
- 刊名：Cryptography and Communications
- 出版年：2013
- 出版时间：September 2013
- 年：2013
- 卷：5
- 期：3
- 页码：209-227
- 全文大小：295KB
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Keqin Feng (2)
Rongquan Feng (3)
Maosheng Xiong (4)
Aixian Zhang (5)
1. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People鈥檚 Republic of China
3. The School of Mathematical Sciences, Peking University, Beijing, 100871, People鈥檚 Republic of China
4. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
5. The School of Mathematical Sciences, Capital Normal University, Beijing, 100048, People鈥檚 Republic of China
文摘
Digital signals are complex-valued functions on Z n . Signal sets with certain properties are required in various communication systems. Traditional signal sets consider only the time distortion during transmission. Recently, signal sets taking care of both the time and phase distortion have been studied, and are called time-phase signal sets. Several constructions of time-phase signal sets are available in the literature. There are a number of bounds on time signal sets (also called codebooks). They are automatically bounds on time-phase signal sets, but are bad bounds. The first objective of this paper is to develop better bounds on time-phase signal sets from known bounds on time signal sets. The second objective of this paper is to construct four series of time-phase signal sets, one of which is optimal.