International Conference on Sequences and Codes

国际序列和代码会议

• 批准号: 0600969
• 负责人: Arthur Calderbank
• 金额: $ 1万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-07-01 至 2007-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0600969&HistoricalAwards=false
• 关键词: International; Conference; Sequences; Codes

This project supports participation by early career mathematicians from US universities in an International Conference on Sequences and Codes. It is organized by Nigel Boston (Wisconsin), Robert Calderbank (Princeton) and Jonathan Jedwab (Simon Fraser University), and will take place July 17-21, 2006 in Vancouver, Canada. More information is available on the web at http://www.pims.math.ca/science/2006/06seqcodesThis conference will contribute to the development of a core of mathematical scientists armed with powerful computational and analytical tools who are excited about applying mathematics in an interdisciplinary context. One example of applications impact is the value of algebraic and combinatorial structures such as Clifford algebras to cross layer design of multiple antenna wireless communication systems. The value of engaging the mathematical sciences community is to realize the promise of multiple antenna systems without exceeding the signal processing complexity of single antenna systems. Another example comes from the emerging area of multiple antenna radar, where thedesign of the waveform and the subsequent processing of the return determine the ability of the radar to discriminate targets from clutter, to discriminate closely spaced targets, and to detect small targets in complex scenes. All these are critical operational issues.The conference will increase the pool of early career mathematicians who appreciate the power of mathematics and the important role that it plays in engineering disciplines. It will promote interdisciplinary exploration and breadth, and help early career mathematicians flourish in the different cultures associated with the different academic disciplines. This ability to bridge different worlds is a quality that is increasingly important to success in both academic and non-academic careers.The emphasis is on the synergy between theory and application, since information theory and coding are subjects that advance by discovering new applications. The conference will feature recent examples where this synergy is present, specifically space-time codes for wireless communication and Clifford algebras, quantum information theory and quantum error correcting codes, radar and sequence design. The evolving applications context helps to define new areas of theory and provides measures for what is considered interesting. The development of a fundamental theory grounded in specific examples often illuminates the right abstraction, one that becomes a new primitive as theory and practice evolve together. When this synergy is not present there is always a risk that the theory will become detached from its original applications context and lose relevance.

该项目支持来自美国大学的早期职业数学家参加序列和代码国际会议。它是由奈杰尔波士顿（威斯康星州），罗伯特考尔德班克（普林斯顿）和乔纳森Jedwab（西蒙弗雷泽大学），并将于2006年7月17日至21日在温哥华，加拿大举行。更多信息可在网上http://www.pims.math.ca/science/2006/06seqcodesThis会议将有助于发展的数学科学家的核心武装与强大的计算和分析工具谁是兴奋的应用数学在跨学科的背景下。应用影响的一个示例是诸如Clifford代数的代数和组合结构对多天线无线通信系统的跨层设计的价值。参与数学科学界的价值是实现多天线系统的承诺，而不超过单天线系统的信号处理复杂性。另一个例子来自于多天线雷达的新兴领域，其中波形的设计和随后的回波处理决定了雷达从杂波中区分目标、区分密集目标以及在复杂场景中检测小目标的能力。所有这些都是关键的操作问题。会议将增加谁欣赏数学的力量和它在工程学科中发挥的重要作用的早期职业数学家的池。它将促进跨学科的探索和广度，并帮助早期职业数学家在与不同学科相关的不同文化中蓬勃发展。这种连接不同世界的能力对于学术和非学术职业的成功越来越重要。重点是理论与应用之间的协同作用，因为信息理论和编码是通过发现新的应用而发展的学科。会议将以最近的例子为特色，其中存在这种协同作用，特别是用于无线通信和Clifford代数的空时码，量子信息理论和量子纠错码，雷达和序列设计。不断发展的应用程序上下文有助于定义新的理论领域，并为被认为有趣的内容提供度量。以具体实例为基础的基本理论的发展，常常阐明正确的抽象，这种抽象随着理论和实践的共同发展而成为一种新的原始。当这种协同作用不存在时，理论总是有脱离其原始应用背景并失去相关性的风险。