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DFT进行频谱分析时的三种现象 1、混叠:对连续信号采样,要求连续信号是带限的,采样频率要足够高。Fs应满足Nyquist采样定理才不产生混叠。 采样前加低通滤波器防混叠 2、频谱泄漏:DFT对时域信号进行了截断(相当于采样信号乘了一个窗函数),时域的乘积相当于频域卷积,改变了原信号频谱。 改用其他窗函数(非矩形)改善泄漏。 3、栅栏现象:DFT 只给出了频谱在采样点上的取值,采样点间的频谱内容丢失。-DFT spectrum analysis of a three phenomena, aliasing : continuous signal sampling, requiring continuous signal is band-limited, the sampling frequency should be high enough. Fs meet the Nyquist Sampling Theorem would not have aliasing. Sampling former low-pass filter plus anti-aliasing 2, spectrum leakage : DFT right time domain signal a disconnect (equivalent to a sampling signal by a window function). time domain is equivalent to the product of frequency-domain convolution, changes in the spectrum of the original signal. Window functions to switch to other (non-rectangular) to improve leakage. 3, fenced phenomenon : DFT spectrum is given only at the sampling point value, sampling points of the spectrum as lost.
Date : 2026-01-11 Size : 145kb User : qinyang

This package contains script to calculate aliasing for given time domain signal. Script to plot in time domain the function: x(t)=A0cos(2pif0t)+A1cos(2pif1t) where fs1=300 Hz and fs2=150 Hz (sampling rate) A0 and A1 are amplitude s signal (armónicos). f0 is the maximun component in frecuency of the signal to sample, when it shows X(t) signal with a sampling frecuency 300 Hz, we will see Aliasing :) It s because we aren t meetting with the Nyquist Theorem, because we don t choice Fs>=2FNy Fs(Sampling Frec) FNy(Frec Nyquist) to sample aplying fft(fast fourier transform) with at least 600 Hz. By actinio --vjgonzalezg@gmail.com-This package contains script to calculate aliasing for given time domain signal. Script to plot in time domain the function: x(t)=A0cos(2pif0t)+A1cos(2pif1t) where fs1=300 Hz and fs2=150 Hz (sampling rate) A0 and A1 are amplitude s signal (armónicos). f0 is the maximun component in frecuency of the signal to sample, when it shows X(t) signal with a sampling frecuency 300 Hz, we will see Aliasing :) It s because we aren t meetting with the Nyquist Theorem, because we don t choice Fs>=2FNy Fs(Sampling Frec) FNy(Frec Nyquist) to sample aplying fft(fast fourier transform) with at least 600 Hz. By actinio --vjgonzalezg@gmail.com--
Date : 2026-01-11 Size : 1kb User : actinio

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matlab实现,验证奈奎斯特采样定理,对信号求傅里叶变换的数值解,数值求解,画出时域图,频域图-matlab implementation, verification Nyquist sampling theorem, Fourier transform of the signal find the numerical solution, numerical solution, draw the graph in time domain, frequency domain graph
Date : 2026-01-11 Size : 1kb User : 白叶叶
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