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The Dirac delta impulse is a mathematical idealization which is used in the theory of DSP, e.g., for the description and analysis of sampling, impulse responses, Fourier transform of pure tones, etc.

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Sampling the Dirac function

I would like to ask a theoretical question concerning the Dirac function. The Fourier Transform of the Dirac function is the value 1 (DC) for every frequency. If we consider the Sampling Theorem, we h …