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The finite observation interval for the signal places a limit on the frequency resolution.

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The finite observation interval for the signal places a limit on the frequency resolution.

(a) True

(b) False

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The above asked question is from Frequency Analysis of Signals Using DFT in portion Discrete Fourier Transform – Properties and Applications of Digital Signal Processing

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Right answer is (a) True

Explanation: After sampling the signal, we limit the duration of the signal to the time interval T0=LT, where L is the number of samples and T is the sample interval. So, it limits our ability to distinguish two frequency components that are separated by less than 1/T0=1/LT in frequency. So, the finite observation interval for the signal places a limit on the frequency resolution.

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