(a) (7 points) When the periodic signal f(t) is real, you have seen in class some propertiesof symmetry for the Fourier series coefficients of f(t) (handout 8, slide 41). How

dothese properties of symmetry change when f(t) is pure imaginary? (b) Suppose we aregiven the following information about a signal x(t): x(t) is real and odd. x(t) is periodic with period T = 2 and has Fourier coefficients ap. • ak = 0 for |k| > 1. \frac{1}{2} \int_{0}^{2}|x(t)|^{2} d t=1 (c) (4 points) Consider the signal y(t) shown below and let Y(jw) denote its Fourier trans-form. Let Y7(t) denote its periodic extension: How can the Fourier series coefficients of yYT (t) be obtained from the Fourier transformY(jw) of y(t)? (Note that the figures given in this problem are for illustrative purposes,the question is for any arbitrary y(t)).