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Resolution performance of the fast Pade transform: Potential advantages for magnetic resonance spectroscopy in ovarian cancer diagnostics

机译:快速Pade转换的分辨率性能:磁共振波谱在卵巢癌诊断中的潜在优势

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摘要

We examine the resolution performance of the fast Pade transform (FPT) applied to theoretically generated (synthesized) noiseless time signals that are reminiscent of in vitro magnetic resonance spectroscopy (MRS) data as encoded from benign and malignant ovarian cyst fluid at strong magnetic fields. All the input spectral parameters were reconstructed exactly by the FPT using only N/16 = 64 signal points out of N = 1024 sampled data. The resulting Pade absorption spectra exhibit all the unequivocally resolved metabolites that are inherent in the input time signal. The present study reveals the potential of the FPT to reliably as well as accurately quantify and split apart closely lying resonances with a very small number of signal points, over two orders of magnitude fewer than with the conventional fast Fourier transform. These features of the FPT could be of potential benefit for ovarian cancer diagnostics via MRS.
机译:我们检查了快速Pade变换(FPT)的分辨率性能,该速度应用于理论上生成的(合成的)无噪声时间信号,这些信号让人联想到在强磁场下从良性和恶性卵巢囊肿液中编码的体外磁共振波谱(MRS)数据。 FPT使用N / 16 = 64个采样点中的N / 16 = 64个信号点精确地重构了所有输入频谱参数。所得的Pade吸收光谱显示了输入时间信号中固有的所有明确解析的代谢物。本研究揭示了FPT能够可靠地以及精确地量化和分离具有非常少量信号点的紧密共振的潜力,比传统的快速傅立叶变换少了两个数量级。 FPT的这些功能对于通过MRS诊断卵巢癌可能具有潜在的好处。

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