HW _9 MTR 500 Fall 2006

# HW _9 MTR 500 Fall 2006 - (b Long division 4 Calculate the...

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MTR 500, Section 1 Fall 2006 Homework # 9 Dr. Ghaleb Husseini Name: ____________________________________ 1. What is the z-transform F(z) of the triangular pulse in the figure if the sampling period has the following values: (a) 5 = t s ((b) 10 = t s 2. Suppose that F(z) = ) 1 )( 3 . 0 1 )( 6 . 0 1 ( 2 . 0 1 1 1 1 1 - - - - - - + - z z z z (a) Calculate the corresponding time-domain response f*(t). (b) As a check, use the final value theorem to determine the steady-state value of f*(t). 3. Determine the inverse transform of ) 1 )( 1 ( ) 1 ( 2 + - - + z z z z z By the following methods: (a) Partial fraction expansion.

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Unformatted text preview: (b) Long division. 4. Calculate the z-transform of the rectangular pulse shown in the drawing. Assume that the sampling period is 2 = ∆ t min. The pulse is f = 3 for 2 ≤ t < 6. 5. The pulse transfer function of a process is given by 41 . ) 6 . ( 5 ) ( ) ( 2 +-+ = z z z z X z Y (a) Calculate the response y ) ( t n ∆ to a unit step change in x using the partial fraction method. (b) Check your answer in part (a) by using long division. (c) What is the steady-state value of y?...
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HW _9 MTR 500 Fall 2006 - (b Long division 4 Calculate the...

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