Chapter 10 Week 10 EE 341 Clark Lecture Notes - 1 june

Chapter 10 Week 10 EE 341 Clark Lecture Notes - 1 june - EE...

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EE 341 Discrete-Time Linear Systems – Week 10 Spring 2011 Page 1 Text reading assignment: Chapter 10, Sec 0 – 5. Ex. Find the z -transform of [ ] sin( ) [ ] n xn r nun , using inverse Euler’s formula.
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EE 341 Discrete-Time Linear Systems – Week 10 Spring 2011 Page 2 Ex. Now suppose [] 4c o s ( )[ 1 ] n xn nu n  , which is a left-sided sequence. Find its z- transform. Does its Fourier transform exist?
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EE 341 Discrete-Time Linear Systems – Week 10 Spring 2011 Page 3 Ex. Find the z -transform of 1 2 [1 ] 3 ] nn  . What is its ROC?
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EE 341 Discrete-Time Linear Systems – Week 10 Spring 2011 Page 4 Insights from the z-Transform Pole-Zero Plot and ROC Things that you can tell about a signal from its pole-zero plot (and ROC) of its z -transform: When the z -transform ROC includes the unit circle, then the signal, say[] x n , is absolutely summable. (If the signal is an impulse response[] hn the system is stable.) A sequence[] x n is absolutely summable iff [] n xn    .
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Chapter 10 Week 10 EE 341 Clark Lecture Notes - 1 june - EE...

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