From Fourier Series to Fourier Transform - Part 2

Peter Gustav Lejeune Dirichlet made two major changes to the Fourier Series to turn it into the Fourier Transform. Both of these changes involve infinities. Having dealt with the infinite integral in the last post, we now look at how Dirichlet turned a discrete series into a continuous function of frequencies.

In mathematical terms, what does mean to be discrete, and why do we need a continuous function of frequencies to describe a signal that doesn't repeat itself?

Find out by clicking on the link below.

From Fourier Series to Fourier Transform - Part 2

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