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Let x[n] be a discrete-time signal obtained by sampling a continuous-time signal xc(t) w...

Let x[n] be a discrete-time signal obtained by sampling a continuous-time signal xc(t) with some sampling period T so that x[n] = xc(nT ). Assume xc(t) is bandlimited to 100 Hz, i.e, by computing a 1024-point DFT of x[n], X[k]. What is the smallest value of T such that

the equivalent frequency spacing between consecutive DFT samples X[k] corresponds to 1 Hz or less in continuous-time frequency?

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