Sampling

Ideal sampling - question about the 1/T scaling factor

Ideal sampling - question about the 1/T scaling factor
  1. What are the two requirements of sampling theorem?
  2. What is sampling rate in digital signal processing?
  3. Why is frequency domain sampling necessary?
  4. What does the sampling theorem tell us concerning the rate of sampling required for an analog signal?

What are the two requirements of sampling theorem?

The sampling theorem essentially says that a signal has to be sampled at least with twice the frequency of the original signal. Since signals and their respective speed can be easier expressed by frequencies, most explanations of artifacts are based on their representation in the frequency domain.

What is sampling rate in digital signal processing?

Definition: Sampling rate or sampling frequency defines the number of samples per second (or per other unit) taken from a continuous signal to make a discrete or digital signal.

Why is frequency domain sampling necessary?

The frequency domain representation of a signal allows you to observe several characteristics of the signal that are either not easy to see, or not visible at all when you look at the signal in the time domain. For instance, frequency-domain analysis becomes useful when you are looking for cyclic behavior of a signal.

What does the sampling theorem tell us concerning the rate of sampling required for an analog signal?

The Sampling Theorem states that a signal can be exactly reproduced if it is sampled at a frequency F, where F is greater than twice the maximum frequency in the signal.

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