The magnitude gain of one-cycle DFT is well known and is given by , where is the number of samples per cycle of the fundamental frequency given by . The sampling frequency which is the integral multiple of the fundamental frequency is given by . The gain is unity when , ( being the off-nominal frequency), and less than unity for off-nominal frequencies due to spectral leakage. What is the value of the magnitude gain for a 2-cycle DFT. How does the above equation change for a 2-cycle DFT. Any help will be much appreciated.

Gain of 2 cycle DFT

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mir khadim el 6 de Dic. de 2019

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Editada: mir khadim el 6 de Dic. de 2019

The magnitude gain of one-cycle DFT is well known and is given by

, where N is the number of samples per cycle of the fundamental frequency given by

. The sampling frequency which is the integral multiple of the fundamental frequency is given by

. The gain is unity when

, (ω being the off-nominal frequency), and less than unity for off-nominal frequencies due to spectral leakage. What is the value of the magnitude gain for a 2-cycle DFT. How does the above equation change for a 2-cycle DFT. Any help will be much appreciated.