The exponential term in the Fourier Transform F(W) of a function f(t) represents the complex generalization of sine and cosine functions found in Fourier series. This term, expressed as exp^{-j w t}, is crucial for understanding how signals can be decomposed into their frequency components. The discussion emphasizes the importance of familiarity with Fourier series when interpreting the role of the exponential factor in the transformation process. Interview questions regarding this topic often assess a candidate's grasp of these fundamental concepts.
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sir,Question was asked to me at time of interview.DrClaude said:Are you familiar with Fourier series? Because the exponential is simply the (complex) generalization of the sine and cosine that appears in the Fourier series.
DrClaude said:Are you familiar with Fourier series? Because the exponential is simply the (complex) generalization of the sine and cosine that appears in the Fourier series.
DrClaude didn't ask where the question came from. He asked whether you were familiar with Fourier series, and gave an explanation for the meaning of the exponential factor in the summation/integral.ramdas said:sir,Question was asked to me at time of interview.