arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1010.2158cs.ITmath.IT
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多带信号非均匀采样与重构及其在认知无线电宽带频谱感知中的应用

Non-uniform sampling and reconstruction of multi-band signals and its application in wideband spectrum sensing of cognitive radio

Moslem Rashidi

摘要:

采样理论是信号处理设备和通信系统的核心。为了在保持低计算成本的同时适应高操作速率,必须开发高效的模数(ADC)转换器。在电流转换器中遇到的许多限制是由于传统的假设,即采样状态需要以奈奎斯特速率(对应于两倍的信号带宽)采集数据。本文研究了稀疏谱多带信号远低于奈奎斯特采样率的采样方法。该方法被称为周期性非均匀采样,并且它在诸如数据转换器、传感器阵列成像和图像压缩的各种应用中是有用的。首先,在频域中准备采样系统的模型。它将观测到的压缩样本的傅里叶变换与信号的未知频谱联系起来。接下来,提供了基于压缩感知主题的重构过程。我们表明,采样参数的平均采样率和重建信号的质量起着重要的作用。介绍了条件数的概念及其在噪声情况下对重构信号的影响,并给出了一种选择低条件数样本模式的可行方法。我们区分了已知频谱和未知频谱信号的情况。其中一个模型参数由信号频带位置确定,在未知频谱信号的情况下,应该从采样数据中估计信号频带位置。因此,我们采用子空间方法和非线性最小二乘法估计这个参数。在这种情况下,我们还使用了信息论准则(Akaike和MDL)和指数拟合检验技术来选择模型阶数。

英文摘要:

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of limitations encountered in current converters are due to a traditional assumption that the sampling state needs to acquire the data at the Nyquist rate, corresponding to twice the signal bandwidth. In this thesis a method of sampling far below the Nyquist rate for sparse spectrum multiband signals is investigated. The method is called periodic non-uniform sampling, and it is useful in a variety of applications such as data converters, sensor array imaging and image compression. Firstly, a model for the sampling system in the frequency domain is prepared. It relates the Fourier transform of observed compressed samples with the unknown spectrum of the signal. Next, the reconstruction process based on the topic of compressed sensing is provided. We show that the sampling parameters play an important role on the average sample ratio and the quality of the reconstructed signal. The concept of condition number and its effect on the reconstructed signal in the presence of noise is introduced, and a feasible approach for choosing a sample pattern with a low condition number is given. We distinguish between the cases of known spectrum and unknown spectrum signals respectively. One of the model parameters is determined by the signal band locations that in case of unknown spectrum signals should be estimated from sampled data. Therefore, we applied both subspace methods and non-linear least square methods for estimation of this parameter. We also used the information theoretic criteria (Akaike and MDL) and the exponential fitting test techniques for model order selection in this case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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