Nyquist

A voice signal is band-limited to 3.3 kHz. What is the Nyquist frequency?

A voice signal is band-limited to 3.3 kHz. What is the Nyquist frequency?
  1. How do you find the Nyquist frequency?
  2. What is the Nyquist frequency of a 20 kHz signal?
  3. What is the Nyquist sampling rate for a signal with bandwidth of 200 kHz?
  4. What is the Nyquist formula?

How do you find the Nyquist frequency?

The frequency fn = 1/2Δt is called the Nyquist frequency. When spectra are presented for digital data, the highest frequency shown is the Nyquist frequency. For IRIS broadband seismic stations, Δt = 0.05 s, so the Nyquist frequency is 10 Hz.

What is the Nyquist frequency of a 20 kHz signal?

Knowing that, if we decide that the highest frequency we're interested in is 20 kHz, then according to the Nyquist theorem, we need a sampling rate of at least twice that frequency, or 40 kHz.

What is the Nyquist sampling rate for a signal with bandwidth of 200 kHz?

Therefore, we can sample this signal at 2 times the highest frequency (200 kHz). The sampling rate is therefore 400,000 samples per second.

What is the Nyquist formula?

The Nyquist formula below provided a relationship between capacity and bandwidth under idealized conditions where noise is not considered. C(bps) = 2B * log2M (Nyquist) C is the capacity in bits per second, B is the frequency bandwidth in Hertz, and M is the number of levels a single symbol can take on.

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