Suppose you are given the following information about a continuous-time periodic signal, $x(t)$, with period $6$ and its Fourier series coefficients $(a_k)$, (1)-(4). Using the synthesis equation, your knowledge of the Fourier series representation of common signals and the properties of continuous-time Fourier series (see Table 3.1 from text), determine the function $x(t)$.
- $a_k = a_{k-3}$
- $\int_{-1}^5 x(t)dt = 3$
- $\int_{-1}^3 x(t)dt = 5$
- $\int_{-1}^1 x(t)dt = i$
I really don't even know where to start...I can't find any examples like this.
