Answer Happy

A contimous-time periodic signal is given as follows: Ta(t) - 16 sin(216) + 8 cos (21894 + */3), where f1 = 1.5 kHz, and 12 = 2 kHz. please turn the page over (a) Draw the line spectrum of Ia(t). (b) Determine the average power of each freq. component. Hence, calculate the total average power (c) Show that a() is periodic with a period of 2 ms. Hence, plot periods of the signal for verification (d) Determine samm the minimum sampling frequency needed to sample .. hence use 1.2 of such value. (e) Specify the anti-aliasing and reconstruction analog filters specifications needed if an atten- ution of 0.1 dB in the passband ( a =0.1 dB) is required and an attenuation of 40 dB in the stop-band (0,= 40 dB) is required. Hint: Just find the order of the filter, N and write the numerator and denominator coefficient vectors, (1) Find and plot (n), the sampled version of tat). () Describe how to used xín) and an appropriate window to display the spectrum of the orig. inal continuous-time signal r(t) such that all its frequency components are well resolved, Plot the magnitude spectrum for verification. Also, determine the minimum duration needed in seconds. Pinally, show the block diagram of the system.