Trigonometric Series for Square Wave
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Consider the following signal, which is periodic with a fundamental period of T=1 second:
Let c_k and d_k be the Fourier series coefficients (trigonometric form) associated with this signal, such that
x(t)= c_0 + \sum_{k=1}^\infty \big(c_k\cos (k\omega_ot) + d_k\sin (k\omega_ot)\big)
c_0 =~
What is the DC term, c_0?
c_k =~
For k \geq 1, what is the value of c_k? Your answer may include the variable k, and you can use
pi
to refer to \pi.
d_k =~
For k \geq 1, what is the value of d_k? Your answer may include the variable k, and you can use
pi
to refer to \pi.
Which of the following are true?