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Unformatted text preview: Sampling 1. A set of samples, ) ( nT f , is given below. All samples that are not shown are zero. Find the unique fuction, ) ( t f , whose bandwidth satisfies T / that passes through all of these samples. Your answer may contain the parameter T . Answer: Use the Nyquist Reconstruction Formula (8.12). ) ( ) ( sin 2 sin 2 ) ( ) ( sin ) ( T t T T t T t T t T T t T T t T t f 2. A signal, ) ( t f , has the spectrum shown below ) ( nT f t T T 2 1 2 ) ( F A a) What is the minimum rate (Nyquist rate) at which we can sample ) ( t f if we want to reconstruct it exactly from its samples ) ( nT f ? T f T s 1 . b) Sketch ) ( F if ) ( t f is sampled exactly at the Nyquist rate. c) Sketch ) ( F if ) ( t f is sampled at three fourths of the Nyquist rate,i.e 4 3 T ....
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 Spring '12
 ProfCampssi
 Digital Signal Processing, Aliasing, Signal Processing, Nyquist–Shannon sampling theorem, Nyquist rate, Nyquist Reconstruction Formula

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