What is the minimum sampling rate needed in order to successfully

capture frequencies up to 155 khz in an analog signal?

Sampling theory states that a band limited continuous time signal with highest frequency equal to BHz can be recovered from its sample provided the sampling frequency Fs is greater than or equal to 2B Hz. The minimum sampling rate is called Nyquist rate

Fsminimum = 2B

Famine = 2 * 155 = 310 * 1000 = 310,000 Hz or samples per second

Therefore the minimum sampling rate = 310,000Hz or samples per second

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