Marvel_tronix
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I know how to calculate fourier transform(F.T.) of complex exponential function \[{e}^{jat}\] using inverse F.T. formula.
Also, I know how to anticipate this on qualitative grounds: This function contains a single component of frequency 'a'. So, we need a single everlasting exponential with ω=a which should be represented as an impulse at ω=a in frequency spectra.
Is there a way to mathematically calculate using F.T. formula F.T. of \[{e}^{jat}\]? because it comes to be
[\[{e}^{j(a-w)t}\]/(a-w)j]|t=-\[\infty\] to t=\[\infty\]
Also, I know how to anticipate this on qualitative grounds: This function contains a single component of frequency 'a'. So, we need a single everlasting exponential with ω=a which should be represented as an impulse at ω=a in frequency spectra.
Is there a way to mathematically calculate using F.T. formula F.T. of \[{e}^{jat}\]? because it comes to be
[\[{e}^{j(a-w)t}\]/(a-w)j]|t=-\[\infty\] to t=\[\infty\]
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