PECASE: Fundamentals Limits and Codes for M-ary Recording Channels

在传统的磁性和光学记录中，通过将介质饱和为两种状态之一来存储数据。在多路记录中，使用两个以上的记录信号，允许更大的存储容量和更高的数据传输速率。许多用于光学记录的千兆记录通道正在开发中，PI和其他人在这方面已经做了大量的工作。研究计划的主要目标是在M-ary记录信道的理解、建模和分析、编码和信号处理方面进入下一个阶段。该研究计划解决了m约束记录信道的基本限制和寻求实现这些限制的新编码方法。该教学计划旨在增加信号处理和录音通信方面训练有素的工程师人数，并强调与行业的密切联系和反馈。具体的研究和教育目标是：1)整合通信和光学模型，以更好地表征与光学（二进制和非二进制）记录通道相关的基本限制（即信道容量）。2)为通常难以处理约束条件的多通道开发新的代码设计方法。3)为M-ary记录信道开发新的调制码，利用其三维特性。4)发展新的教育方法，强调系统组成部分的相互关系，并有助于发展更广阔的视野。5)强调与行业的互动，充分利用本科和博士合作项目。6)继续开展外联项目，鼓励本科生从事科研工作。拟议的研究和教育活动将：1)在基本限制和实际系统实施方面教育和培训新兴m - mary记录领域的核心研究人员小组。2)从系统和实用的角度构思和设计调制码，实现最大的已知信息密度。

In conventional magnetic and optical recording, data is stored by saturating the media in one of two states. In M-ary recording, more than two recorded signals are used, allowing for larger storage capacity and higher data transfer rates. A number of M-ary recording channels are being developed for optical recording and a good deal of work has been done by the PI and others in this area. The primary objective in the research plan is to move to the next level in the understanding, modeling and analysis of channels, codes and signal processing for M-ary recording channels. The research plan addresses fundamental limits of M-ary constrained recording channels and new coding approaches which seek to achieve them. The teaching plan seeks to increase the number of trained engineers in signal processing and communications for recording and emphasizes close connection with and feedback from industry. The specific research and educational objectives are: 1) To integrate communications and optical models to better characterize the fundamental limits (i.e. channel capacity) associated with optical (both binary and nonbinary) recording channels. 2) To develop new methodologies for code design for M-ary channels whose constraints are typically difficult to deal with. 3) To develop new modulation codes for M-ary recording channels which exploit their three dimensional nature. 4) To develop new educational approaches that emphasize the interrelation of system components and help develop a broader perspective. 5) To emphasize interaction with industry and to take advantage of undergraduate and PhD co-op programs. 6) To continue developing outreach programs for encouraging research careers for undergraduates. The proposed research and educational activities will: 1) Educate and train a core group of researchers in the emerging area of M-ary recording both in fundamental limits and practical systems implementations. 2) Result in modulation codes that are c onceived and designed from a systems and practical perspective and achieve the largest known information density.