EE200_Weber_9-21

EE200_Weber_9-21 - EE 200 Sampling In order for digital...

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1 EE 200 Sampling In order for digital hardware to operate on a continuous signal, the signal must first be changed into a discrete signal. The action of changing the continuous signal into a discrete signals is known as sampling. The time span between samples, T s , the called the sampling interval. Continuous -to-Discrete Converter Input signal Real Complex Output signal Integer Complex

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2 EE 200 Sampling For a temporal signal, the sampling interval is specified in units of time (e.g. 4 microseconds per sample). The inverse of the sampling interval is the sampling frequency. The f s value is sometimes just specified in Hertz. f s = 1 T S samples/sec " s = 2 # T S radians/sec
3 EE 200 Sampling For a spatial signal, the sampling interval is in units of distance between each sample (e.g. 2mm/sample). The sampling frequency for sampling a spatial signal is the inverse of the sampling interval and is in units of samples /distance. For example, an image scanner samples a continuous spatial signal (a photograph) at a specified frequency such as 600 dots/inch. In these applications the sampling frequency is often called “resolution”.

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