# Lecture 2A Questions

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Please answer the following questions after watching lecture 2A.

ALso, recall the definition of the Fourier series representation of a signal (trigonometric form):

f(t) = c_0 + \sum_{k=1}^\infty (c_k\cos(k\omega_0 t) + d_k\sin(k\omega_0 t))

Consider the following signal:

x(t) = {3\over 4} - \frac{1}{2}\cos(2\pi t) + \frac{1}{2}\sin(10\pi t)

What is the fundamental period of this signal, in seconds?

T_0 =~

T_0 =~

How many non-zero coefficients does the Fourier series representation of this signal have? Enter a single number below:

In this signal's Fourier series representation, what is the DC term c_0? Enter a single number below.

c_0 =~

c_0 =~

In this signal's Fourier series representation, what are the remaining c_k coefficients?

Enter your answer as a Python list of numbers representing [c_1, c_2, c_3, c_4, \ldots]. You only need to include as many entries as you need to represent all nonzero coefficients (values not specified will be assumed to be 0).

c_k coefficient list:

Enter your answer as a Python list of numbers representing [c_1, c_2, c_3, c_4, \ldots]. You only need to include as many entries as you need to represent all nonzero coefficients (values not specified will be assumed to be 0).

c_k coefficient list:

In this signal's Fourier series representation, what are the remaining d_k coefficients?

Enter your answer as a Python list of numbers representing [d_1, d_2, d_3, d_4, \ldots]. You only need to include as many entries as you need to represent all nonzero coefficients (values not specified will be assumed to be 0).

d_k coefficient list:

Enter your answer as a Python list of numbers representing [d_1, d_2, d_3, d_4, \ldots]. You only need to include as many entries as you need to represent all nonzero coefficients (values not specified will be assumed to be 0).

d_k coefficient list: