Treffer: Spectral analysis of sinusoidal signals from multiple channels ; Duo tong dao zheng xian xin hao de pu fen xi ; 多通道正弦信號的譜分析

Spectral analysis of sinusoidal signals is a classical but still open problem in statistical signal processing, finding its applications in a wide range of areas. This problem consists of two parts - sinusoidal model order detection and parameter estimation. During the recent decades, the problem of analyzing the sinusoidal signals from multiple channels, which are contaminated by different undesired harmonics, has attracted considerable attention. Given the corresponding observations, the goal is to determine the unknown orders and parameters of the sinusoidal signals in the multiple channels, after which the signal parametrization is complete. This problem is of great research value not just because it is interesting and practical, but also there are two main significant advantages compared with single-channel modeling: • The multi-channel setup means more observed data and the parameter estimation refinement of the common mode sinusoidal components is expected, which makes it feasible to extract the common information in a more accurate way. • In a multi-source scenario, if the sources are overlapping in one dimension, a single-channel setup will not be able to resolve the sources. On the other hand, this issue can be alleviated with the multi-channel setup by considering joint higher dimensional modeling. In addition, decimation technique is utilized in the parameter estimation of oversampled multiple complex sinusoids for the sake of lower computational complexity and higher estimation resolution, where the decimative signals belong to a special form of multi-channel sinusoidal signals with the same amplitudes and frequencies. And accurate parameter estimation for dual-channel sinusoidal signal is extensively useful in the electronic measurement. Such applications are also the motivations of the research on spectral analysis of multi-channel sinusoidal signals. In this thesis, the multi-channel sinusoidal modeling consists of four parts, that is, oversampling parameter estimation for multiple sinusoids; ...