Question

Determine the bit rate and the resolution in the sampling of a seismic signal with dynamic range of 1 volt if the sampling rate is Fs =20 samples/s and we use an 8-bit A/D converter. What is the maximum frequency that can be present in the resulting digital seismic signal?

Answer 1

The bit rate is 160 bits/s, the resolution is 256 levels of amplitude, and the maximum frequency is 10 Hz.

Step-by-step explanation:

The bit rate in the sampling of a seismic signal can be calculated by multiplying the number of bits used in the A/D converter by the sampling rate. In this case, the A/D converter uses 8 bits and the sampling rate is 20 samples/s. Therefore, the bit rate is 8 bits/sample * 20 samples/s = 160 bits/s.

The resolution is determined by the number of bits used in the A/D converter. In this case, an 8-bit A/D converter is used, so the resolution is 2^8 = 256 levels of amplitude.

The maximum frequency that can be present in the resulting digital seismic signal is determined by the Nyquist-Shannon sampling theorem, which states that the maximum frequency is half the sampling rate. In this case, the maximum frequency is 20 samples/s / 2 = 10 Hz.