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The click is not a step function but rather delta (or unit impulse) function. In simple terms it is a blip. It happens at time zero, has zero width and infinite amplitude (and vanishes). So it has zero frequency.However, I have just checked, the Fourier transform of delta function is a complex exponential.[URL unfurl="true"]https://mathworld.wolfram.com/FourierTransformDeltaFunction.html[/URL]I think it is one of those wrongly worded thing that is handed down from one person to another.
The click is not a step function but rather delta (or unit impulse) function. In simple terms it is a blip. It happens at time zero, has zero width and infinite amplitude (and vanishes). So it has zero frequency.
However, I have just checked, the Fourier transform of delta function is a complex exponential.
[URL unfurl="true"]https://mathworld.wolfram.com/FourierTransformDeltaFunction.html[/URL]
I think it is one of those wrongly worded thing that is handed down from one person to another.
