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Homework1

# Homework1 - EE 200 Fall 2009(Weber Homework 1 At the upper...

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EE 200 Fall 2009 (Weber) Homework 1 At the upper right corner on page 1 of all homeworks, show: Last name, First name Date EE 200, Homework # Show intermediate steps whenever possible. 1. Write the expression(s) that define the function plotted below. y 1 1 2 -1 -2 -1 x 2. For the signal shown in the graph below, a. What is the period of the signal? x(t) 4 2 t (msec) 6 8 4 -4 b. What is the frequency of the signal in Hz.? c. What is the amplitude of the signal (approximately) if the units on the vertical axis are Volts? d. What is ω , frequency of the signal in radians/second? 3. The “signum” function sgn ( x ) is defined as sgn( x ) = 1 x < 0 0 x = 0 1 x > 0 Using the following functions f 1 ( x ) = 3 2 sgn( x ) f 2 ( x ) = 2 3 sin( πx ) plot these composition functions over [-2, 2] 1

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a. ( f 1 f 2 )( x ) b. ( f 2 f 1 )( x ) 4. Do the following matrix operations. a. bracketleftbig 4 6 bracketrightbig bracketleftbigg 3 1 bracketrightbigg = b. bracketleftbigg 5 6 bracketrightbigg bracketleftbig 4 3 bracketrightbig = c. bracketleftbig 1 4 2 bracketrightbig 3
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Homework1 - EE 200 Fall 2009(Weber Homework 1 At the upper...

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