A continuous-time sigma x(t) is passed through a filter with impulse response h(

Question

A continuous-time sigma x(t) is passed through a filter with impulse response h(t), and then sampled at interval T; see Figure 3.34(a). The signal is band limited to plusminus omega_1, the frequency response of the filter is band limited to plusminus omega_2. We wish to change the order of the operations: Sample the signal first and then pass the sampled signal through a digital filter, see Figure 3.34 (b). We require that: the impulse response of the digital filter be Th (nT); the outputs of the two systems be equal for any input signal x(t) that meets the bandwidth restriction. What is the condition on the sampling interval T to meet this requirement?

Explanation / Answer

the sampling frequency must always follow nyquist rate i.e the sampler should have the sampling frequency which is twice the maximum frequency of the input signal to the sampler.if you want to limit the bandwidth of the signal the you need to use the appropriate digital filter

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