ramdas
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We know that Fourier Transform F(W) of function f(t) is summation from -infinity to +infinity product of f(t) and exp^{-j w t}Here, what does the exponential term mean?
The discussion revolves around the meaning of the exponential term in the context of the Fourier Transform, specifically its relationship to Fourier series. Participants explore the theoretical implications and interpretations of this term.
Participants seem to agree on the connection between the exponential term and Fourier series, but the discussion does not reach a consensus on a deeper interpretation of the exponential term itself.
The discussion does not address potential limitations or assumptions regarding the definitions of the Fourier Transform or Fourier series.
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.