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EE1003_Chap2_Sem1_AY2011-12 - Chapter 2 Sampling Pulse Code...

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Chapter 2 Sampling & Pulse Code Modulation 1 Sampling Suppose we wish to sample an analog signal v ( t ) at a sam- pling rate f 0 given by 1 /T 0 . That is, we wish to take snap- shots of v ( t ) every T 0 seconds. This may be achieved by multiplying v ( t ) with the rectangular pulse train ψ ( t ) = n = −∞ p ( t nT 0 ) where p ( t ) = 1 : 0 t < T 0 / 2 0 : otherwise. The resulting signal v s ( t ) = v ( t ) ψ ( t ) = v ( t ) n = −∞ p ( t nT 0 ) consists of pulses (or snapshots of v ( t ) ) of duration T 0 / 2 and amplitudes corresponding to v ( t ) at the sampling instances. Note that the duration of the pulses is given by the duration of p ( t ) . 1
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