CAJ | 학술논문

在信号处理中，估计淹没在高斯白噪声中的正弦波频率具有相当的应用价值。本文在MATLAB环境下，首先对单谱线法、双谱线法（Rife）以及功率加权求平均等频谱校正算法进行比较。然后通过仿真实验得出，延长观测时间有益于频率估计的结论，并对信号采样频率的选择进行讨论。最后针对短持续时间信号的频率估计，给出了基于复解析带通滤波的方法（Zoom—FFT），并通过实验与快速傅里叶变换（Frr）进行对比。实验结果表明，Zoom—FFT法频率估计分辨率要高于基带Ffvr算法，频率估计精度更高，稳定性更好。
재신호처리중，고계엄몰재고사백조성중적정현파빈솔구유상당적응용개치。본문재MATLAB배경하，수선대단보선법、쌍보선법（Rife）이급공솔가권구평균등빈보교정산법진행비교。연후통과방진실험득출，연장관측시간유익우빈솔고계적결론，병대신호채양빈솔적선택진행토론。최후침대단지속시간신호적빈솔고계，급출료기우복해석대통려파적방법（Zoom—FFT），병통과실험여쾌속부리협변환（Frr）진행대비。실험결과표명，Zoom—FFT법빈솔고계분변솔요고우기대Ffvr산법，빈솔고계정도경고，은정성경호。
Frequency estimation of complex sine wave in Gaussian white noise is critical in the field of signal processing. Firstly, comparison between spectrum correction algorithms such as single-line method, Rife algorithm and power weighted averaging are made. The simulation results show that prolonging observation time is benefit to im- prove the frequency estimation accuracy; selection of signal sampling frequency is discussed. Finally, for the pur- pose of frequency estimation of signal with short time duration, the Zoom-FFT is introduced and discussed based on the complex analytical band-pass filtering methods. The simulation results show that Zoom-FFT method has higher resolution frequency estimation, more accurate, better stability in frequency estimation than FFF method.