The Nyquist frequency
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The Nyquist frequency
A few days ago I realized I had never bothered to explain the nyquist frequency. Considering it’s been over a year now since I explained some of the frequency domain things that I do in my la…
Sep 4, 2020
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This simulation demonstrates the effects of sampling rate on analog signals. The top waveform (purple) represents the original continuous triangular signal, while the other waveforms show sampled versions at different frequencies — 1 kHz (green), 500 Hz (orange), and 250 Hz (red). As the sampling rate decreases, the reconstructed waveform becomes more distorted and loses accuracy, illustrating aliasing and quantization effects. A higher sampling rate captures more signal details, producing a wav
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A) Consider impulse train-sampling of a continuous-time signal x(t) :x(t)=cos(2pi t) 2cos(3pi t)cos(6pi t)Assume sampling rate is 5Hz.sketch the spectrum of x(t), and spectrum of the resulted weighted impulse train x(p)(t).The frequency which, under the sampling theorem, must be exceeded by the samplingfrequency is called the Nyquist rate. Find the Nyquist rate of x(t) in Hz.Assume the resulted discrete-time sequence is x[n]. Sketch the DTFT of x[n].A) Consider impulse train-sampling of a contin
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