honors 314 hmwk 1 - 3 Write equations for the following...

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EE 314 Homework # 1 Georghiades Fall 2008 Given: September 1, 2008 Due: To be discussed September 8, 2008. 1. Joe has a one year CD account with a local bank. The bank policy states that the interest rate for the CD is 4% per year for deposits provided they are above $1,000 and 2% otherwise. Considering the amount of the deposit to be the input to this financial system and the amount of interest the output, is this a linear system or not and why? 2. Argue that for any linear system, the output must be zero when the input is zero.
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Unformatted text preview: 3. Write equations for the following signals in terms of elementary functions: 1 x(t) 1 2 3 t 1 x(t) 1 2 3 t 1 x(t) 1 2 3 t 4 ±igure 1: ±igure for Problem 3. 4. If the output (zero-state response) of a linear, time-invariant system when the input is a unit-step u ( t ) is y ( t ), Fnd the outputs when the inputs are the signals in ±igure 4 below. 1 x(t) 1 2 3 t 4 2 1 x(t) 1 2 3 t 4 1 x(t) 1 2 3 t 2-1 ±igure 2: ±igure for Problem 4. 5. Solve problems 2.9, 2.48 in the textbook. 1...
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