Frequency

Frequency spectrum of a sampled signal, PSD and power discussion

Frequency spectrum of a sampled signal, PSD and power discussion
  1. What is PSD frequency?
  2. What is the frequency of the sampled signal?
  3. What is spectrum of sampled signal?
  4. What is the difference between power spectrum and power spectral density?

What is PSD frequency?

The power spectral density (PSD) of the signal describes the power present in the signal as a function of frequency, per unit frequency. Power spectral density is commonly expressed in watts per hertz (W/Hz).

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 spectrum of 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.

What is the difference between power spectrum and power spectral density?

These two terms are used interchangeably throughout the signal processing and mathematics communities; at a conceptual level, there is no difference between these two terms. The two terms both describe how the intensity of a time-varying signal is distributed in the frequency domain.

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