21 A periodic signal is defined as follows x(t) of wwtion -T/2 T/2 + -T-a -T+a T-a T+a t (sec) -2a +a (k nT - a SISNT + a Where "n" is an integer: x(t) = Vn EZ otherwise Consider a-2, k = 19 and the fundamental period T-8 and answer the following questions. a) State whether this signal is discrete or continuous time and whether it is discrete or continuous amplitude? b) Find the Fourier Series of this signal (Form 2 - exponential form). Detailed calculation of Fourier Coefficients a, using the Fourier Series analysis formula is required. The final answer must take into account the numerical values of "a", "k" and T. c) Calculate the values of a1, do a1. d) Deduce and write the Fourier Transform X(f) of this signal between f=-1/8 and 1/8, Calculation details are NOT required.

21 A periodic signal is defined as follows x(t) of wwtion -T/2 T/2 + -T-a -T+a T-a T+a t (sec) -2a +a (k nT - a SISNT + a Where "n" is an integer: x(t) = Vn EZ otherwise Consider a-2, k = 19 and the fundamental period T-8 and answer the following questions. a) State whether this signal is discrete or continuous time and whether it is discrete or continuous amplitude? b) Find the Fourier Series of this signal (Form 2 - exponential form). Detailed calculation of Fourier Coefficients a, using the Fourier Series analysis formula is required. The final answer must take into account the numerical values of "a", "k" and T. c) Calculate the values of a1, do a1. d) Deduce and write the Fourier Transform X(f) of this signal between f=-1/8 and 1/8, Calculation details are NOT required.