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SOLVED:Find the Fourier transform of the Gaussian function given by f(t)=h e^-t^2 / 2 σ^2 where h is the height and σthe "width." (Hint: Remember how to complete a square? You will also need the definite integral ∫-∞^ ∞ e^-x^2 d x=√(π) in your calculations.) Does the transform, interpreted as the frequency spectrum, show the proper relationship to the original "pulse" width?
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SOLVED:Find the Fourier transform of the Gaussian function given by f(t)=h e^-t^2 / 2 σ^2 where h is the height and σthe "width." (Hint: Remember how to complete a square? You will also need the definite integral ∫-∞^ ∞ e^-x^2 d x=√(π) in your calculations.) Does the transform, interpreted as the frequency spectrum, show the proper relationship to the original "pulse" width?
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