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A comprehensive review of Sampling, CT, and DT signals, including Zero-Order Hold (ZOH), Impulse train sampling, and δ(t-nT). Understanding the spectrum of the sampled signal in different scenarios such as Ωs>2ΩN and Ωs<2ΩN is crucial in avoiding irreversible signal distortion due to aliasing. Learn about Reconstruction Filters, aliasing prevention, and the importance of sufficient sampling rates in signal processing.
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Sampling CT DT
Sampling Impulse train
Sampling δ(t-nT)
Spectrum of Sampled Signal (Ωs>2ΩN) The spectrum of the sampled signal is periodic in Ωs=2π/T.
Spectrum of Sampled Signal (Ωs<2ΩN) • Aliasing (folding) results in irreversible signal distortion. • Can only be avoided by using sufficiently high sample rate, or band- limit the input signal with a coarse, continuous-time filter – AAF.
Reconstruction Filter (Nyquist) Reconstruction filter = “smoothing” filter = “interpolation” filter