Howtosignalprocessing
- What is impulse train sampling?
- How impulse signal is used in sampling?
- What is sampling theorem explain the reconstruction of the sampled signal?
- How do you find the Fourier transform of an impulse train?
What is impulse train sampling?
One type of sampling that satisfies the Sampling Theorem is called impulse-train sampling. This type of sampling is achieved by the use of a periodic impulse train multiplied by a continuous time signal, $ x(t) $.
How impulse signal is used in sampling?
The impulse response can be used to find a system's spectrum. Here is the rationale: if the input signal in the frequency domain is a constant across all frequencies, the output frequencies show how the system modifies signals as a function of frequency.
What is sampling theorem explain the reconstruction of the sampled signal?
The sampling theorem specifies the minimum-sampling rate at which a continuous-time signal needs to be uniformly sampled so that the original signal can be completely recovered or reconstructed by these samples alone. This is usually referred to as Shannon's sampling theorem in the literature.
How do you find the Fourier transform of an impulse train?
Therefore, the Fourier transform of the periodic impulse train has an impulse at the frequency of each Fourier series component and the area of the impulse equals the Fourier series coefficient. ⇐⇒ X(f) = XT (f) × S(f).
