Dirac Comb - Fourier Series

Fourier Series

It is clear that ΔT(t) is periodic with period T. That is

for all t. The complex Fourier series for such a periodic function is

where the Fourier coefficients, cn are

All Fourier coefficients are 1/T resulting in

Read more about this topic:  Dirac Comb

Famous quotes containing the word series:

    Rosalynn said, “Jimmy, if we could only get Prime Minister Begin and President Sadat up here on this mountain for a few days, I believe they might consider how they could prevent another war between their countries.” That gave me the idea, and a few weeks later, I invited both men to join me for a series of private talks. In September 1978, they both came to Camp David.
    Jimmy Carter (James Earl Carter, Jr.)