2
$\begingroup$

What is the role of complex exponential $ e^{jθ} $ in Fourier Transform? Is it different in the continuous and in discrete time domain?

$\endgroup$
2
$\begingroup$

Euler's relationship says that $e^{j\Theta}$ is equal to $cos(\Theta) + j*sin(\Theta)$. The Fourier Transform can then be seen as correlating the signal with sinusoids at various frequencies. The continuous Fourier Transform correlates with an infinite number of sinusoids, while the discrete transform uses $N$ sinusoids, where $N$ is the length of the transform.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.