1. Periodic Signal: (50 points) -Ve 37 (a) What is the average voltage of the waveforms shown above? (b) Determine VRMS for the three waveforms? (c) Consider the case where the waveforms are shifted by a constant value of +5V. Calculate how this DC shift will affect the average value and the VRMS value. (d) Calculate Fourier Series for the triangular wave as shown in the right most figure. 2. Sampling and Aliasing: (30 points) Consider the signal y(t) = 5 + 10 cos(30r) + 15 cos(901). Determine: (a) The frequencies (in Hz) contained in the signal. (b) The minimum sample rate (in samples/s) to avoid aliasing. (c) The frequency resolution of the frequency spectrum if the signal is sampled at that rate for 2 seconds. (d) Sketch the amplitude-frequency spectrum of y(t) and the amplitude-frequency spectrum if the signal is sampled at 20 samples/s.