基于奇异值分解和频率选择的磁共振波谱频域量化方法  

Frequency-domain Quantification Based on the Singular Value Decomposition And Frequency-selection for Magnetic Resonance Spectra

作　　者：门阔[1] 全红[1] 杨沛沛[2] 曹婷[1] 李炜皓[1] 

机构地区：[1]武汉大学物理科学与技术学院医学物理实验室,武汉430072 [2]华中科技大学控制科学与工程系,武汉430072

出　　处：《生物医学工程学杂志》2010年第2期249-252,共4页Journal of Biomedical Engineering

基　　金：国家自然科学基金资助项目(10875092)

摘　　要：时域的磁共振波谱(magnetic resonance spectroscopy,MRS)信号经过傅立叶变换得到频域波谱,通常我们仅对某段频率范围内的波谱感兴趣。本文采用基于奇异值分解(singular value decomposition,SVD)和频率选择的方法,仅对感兴趣的频率范围内的波谱进行量化,降低了其它频率的波谱对感兴趣区域的影响,并大大减少了运算量。通过与时域标准的SVD方法比较实验,表明该算法准确、省时。The frequency-domain magnetic resonance spectroscopy（MRS） is achieved by the Fast Fourier Transform（FFT） of the time-domain signals.Usually we are only interested in the portion lying in a frequency band of the whole spectrum.A method based on the singular value decomposition（SVD） and frequencyselection is presented in this article.The method quantifies the spectrum lying in the interested frequency band and reduces the interference of the parts lying out of the band in a computationally efficient way.Comparative experiments with the standard time-domain SVD method indicate that the method introduced in this article is accurate and timesaving in practical situations.

关 键 词：奇异值分解 频率选择 磁共振波谱 量化 

分 类 号：R312[医药卫生—基础医学]