# Sample Rate and Discrete Frequency

Discover how sampling a signal leads to a new set of frequencies.

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An ADC samples a continuous-time signal to produce discrete-time samples. From the viewpoint of a digital signal processor, this signal is represented in computer memory as a series of numbers. Unless the sample rate $f_s$ is known, there’s little that can be done.

## Determining the frequency

With the available information about $f_s$, we can discover the frequency by first computing the period. For example, the figure below shows a discrete-time sinusoid with a period of $20$ samples. In terms of real time in seconds, this period depends on $f_s$.

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