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分析了快速傅里叶变换(FFT)在光频域反射仪(OFDR)频谱分析中应用的局限性,论述了快速傅里叶变换-分段Chirp-Z变换(FFT-SCZT)算法的不足。提出了一种基于改进的遗传算法(IGA)和Zoom FFT(ZFFT)的快速高精度频谱分析(FFT-IGA-ZFFT)算法。描述了该算法的计算过程,并推导了算法的时间复杂度。研究结果表明,在同一运算平台下,处理10~7个OFDR采样数据时,FFT算法耗时3.130s,FFT-SCZT算法耗时1.993s,而FFT-IGA-ZFFT算法仅耗时0.525s即可获得同等精度。FFT-IGA-ZFFT算法在处理速度上具有明显的优势。
The limitation of Fast Fourier Transform (FFT) applied in spectrum analysis of Optical Frequency Domain Reflectometry (OFDR) is analyzed. The shortage of Fast Fourier Transform - Segment Chirp-Z Transform (FFT-SCZT) algorithm is discussed. A fast high-precision spectrum analysis (FFT-IGA-ZFFT) algorithm based on improved genetic algorithm (IGA) and Zoom FFT (ZFFT) is proposed. Describes the calculation process of the algorithm and deduces the time complexity of the algorithm. The results show that the FFT algorithm consumes 3.130s and the FFT-SCZT algorithm takes 1.993s when processing 10 to 7 OFDR samples on the same computing platform, while the FFT-IGA-ZFFT algorithm takes only 0.525s Get the same precision. FFT-IGA-ZFFT algorithm in the processing speed has obvious advantages.