Frequency

Frequency spectra of a sampled process

Frequency spectra of a sampled process
  1. What is the frequency of the sampled signal?
  2. What is the spectrum of a sampled signal?
  3. How do you find the frequency spectra?

What is the frequency of the sampled signal?

The sampling frequency or sampling rate, fs, is the average number of samples obtained in one second, thus fs = 1/T. Its unit is sample per second or hertz e.g. 48 kHz is 48,000 samples per second. Reconstructing a continuous function from samples is done by interpolation algorithms.

What is the spectrum of a sampled signal?

The sampled signal has a spectrum that is periodic at the sampling frequency (20 Hz) and has an even symmetry about 0.0 Hz, as well as symmetry about the sampling frequency, fs. Since the sampled spectrum is periodic, it goes on forever and only a portion of it can be shown.

How do you find the frequency spectra?

Frequency spectra of PPG signals are commonly calculated using the Fourier transform. The Fourier transform uses sinusoidal waves to map the contents of the signal to the frequency domain (Semmlow and Griffel, 2014). Sine waves can be expressed in terms of their amplitude, frequency, and phase.

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