Sparse Representations for Signal Processing and Coding

信号处理和编码的稀疏表示

• 批准号: EP/D000246/2
• 负责人: Mike Davies
• 金额: --
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD000246%2F2
• 关键词: Sparse; Representations; Signal; Processing; Coding

This project will investigate novel methods to represent signals in a compact and efficient digital format. These methods will be based on the paradigm of finding representations of a signal with a small number of components taken from a large set of elementary functions. Such representations can be used to efficiently store and transmit data such as music, images or video. Furthermore, these representations are able to uncover structure present in the signal under investigation, such as for example notes in music or edges in images. The main focus of this project will lie in the investigation of the theoretical properties of such representations and will build these foundations for the exploitation of such methods in further research. In addition, we will study two specific tasks for which these representations seem ideally suited: the problem of audio coding, that is, representing audio data in a compact and efficient format, and the problem of source separation, that is, extracting the signal associated with a single source such as a speaker from one or more mixtures of many different signals.

这个项目将研究新的方法来表示在一个紧凑和有效的数字格式的信号。这些方法将基于从大量的初等函数中提取少量分量来寻找信号的表示的范例。这样的表示可以用于有效地存储和传输数据，例如音乐、图像或视频。此外，这些表示能够揭示所研究的信号中存在的结构，例如音乐中的音符或图像中的边缘。该项目的主要重点将在于调查的理论性质，这种表示，并将建立这些基础，为开发这种方法在进一步的研究。此外，我们将研究两个具体的任务，这些表示似乎非常适合：音频编码的问题，即表示音频数据在一个紧凑和有效的格式，和源分离的问题，即提取信号与一个单一的来源，如扬声器从一个或多个混合的许多不同的信号。

项目成果

Iterative hard thresholding for compressed sensing

• DOI: 10.1016/j.acha.2009.04.002
• 发表时间: 2009-11-01
• 期刊: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
• 影响因子: 2.5
• 作者: Blumensath, Thomas;Davies, Mike E.
• 通讯作者: Davies, Mike E.

Gradient Pursuit for Non-Linear Sparse Signal Modelling.

非线性稀疏信号建模的梯度追踪。

• 发表时间: 2008
• 期刊: European Conference on Signal Processing (EUSIPCO)
• 作者: Blumensath, T

Stagewise Weak Gradient Pursuits

• DOI: 10.1109/tsp.2009.2025088
• 发表时间: 2009-11-01
• 期刊: IEEE TRANSACTIONS ON SIGNAL PROCESSING
• 影响因子: 5.4
• 作者: Blumensath, Thomas;Davies, Mike E.
• 通讯作者: Davies, Mike E.

Iterative Thresholding for Sparse Approximations

• DOI: 10.1007/s00041-008-9035-z
• 发表时间: 2008-12-01
• 期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
• 影响因子: 1.2
• 作者: Blumensath, Thomas;Davies, Mike E.
• 通讯作者: Davies, Mike E.

Sampling Theorems for Signals From the Union of Finite-Dimensional Linear Subspaces

• DOI: 10.1109/tit.2009.2013003
• 发表时间: 2009-04
• 期刊: IEEE Transactions on Information Theory
• 影响因子: 2.5
• 作者: T. Blumensath;M. Davies