1. Sketch the time history/ time domain of the following signals: = a. y(t) sin (200t) b. y(t) = 5 sin (250t) c. y(t) = 15 sin (300t) 2. Consider the analog signal, == x(t) = 3 cos (100t) a. What is the frequency of the analog signal? b. Determine the minimum sampling rate required to avoid aliasing. 3. Determine the period (in seconds) and frequency (in Hertz) for the following functions; a. x(t) = 8 sin (8t) b. x(t) 2 cos (1t/4) 4. Fig. 1 shows a square wave against time in msec. a. Determine the fundamental frequency of the wave. b. If the signal passes through a low-pass filter of cut-off frequency of 70Hz, how would the signal looks like after the filter? (Answer using Fig. 1). 5.0- 2.5 0.0- -2.5- SPECTRUM wwwww -5.0- 0 25 50 75 100 125 150 175 200 ms Fig 1 5. A processor is capable of performing FFT, display and store in 0.01 sec. For a time block of 1024 samples, what is the maximum sampling rate of the analyzer, given below, for it to perform a real time analysis? 6. Show that the fundamental frequency component in Fig 2 is 20Hz T = 0.1 sec 5mm/s 2.5mm/s W -2.5mm/s -5mm/s N=16 Fig 2