DSP_FOEHU - Lec 03 - Sampling of Continuous Time Signals
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1. The Nyquist interval is the longest time interval that can be used for sampling a bandlimited signal while still allowing reconstruction of the signal without distortion. 2. The sampling theorem states that a signal x(t) with finite energy can be reconstructed from its sampled values x(nTs) if the sampling frequency is greater than twice the maximum frequency of the signal. 3. Reconstruction of a sampled signal involves representing the sampled signal as a sum of sinusoids with frequencies that are integer multiples of the sampling frequency below the Nyquist frequency.
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DSP_FOEHU - Lec 03 - Sampling of Continuous Time Signals
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- 9. Ts is called the Nyquist interval: It is the longest time interval that can be used for sampling a bandlimited signal and still allow reconstruction of the signal at the receiver without distortion
- 10. Sampling Theorem: A finite energy function x(t) can be completely reconstructed from its sampled value x(nTs) with provided that => 2 ( ) sin 2 ( ) ( ) ( ) s s s s n s f t nT T x t T x nT t nT ( ) sin (2 ( ))s s s s n T x nT c f t nT 1 1 2 s s m T f f ( ) s p n t nT x t
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