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Lecture 2 Matlab Exercise Presenter : Lee-Kang Lester Liu Instructor : Prof. Truong Nguyen

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Problem M3.3(b) M3.3(b) : Determine and plot the real and imaginary parts and the magnitude and phase spectrum of the following DTFT.

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Problem M3.3(b) M3.3(b) : Determine and plot the real and imaginary parts and the magnitude and phase spectrum of the following DTFT. After seeing the magnitude and phase spectrum, what are its corresponding poles and zeros. !!

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Problem M3.3(b) M3.3(b) : Determine and plot the real and imaginary parts and the magnitude and phase spectrum of the following DTFT. Z=roots([1 0.1885 -0.1885 -1]); P=roots([1 0.7856 1.4654 -0.2346]); Figure; zplane(Z,P);

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Question ?

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Problem M4.4

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Question ?

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Problem M4.5

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n 0 1 2

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Problem M4.5 n 0 1 2

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Problem M4.5 n 0 1 2

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Question ?

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Problem M4.6

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n 0 1 2 3 4

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Problem M4.6

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EXAMPLE 4 Use Descartes’ rule of signs Determine the possible numbers of positive real zeros, negative real zeros, and imaginary zeros for f (x) = x 6.

EXAMPLE 4 Use Descartes’ rule of signs Determine the possible numbers of positive real zeros, negative real zeros, and imaginary zeros for f (x) = x 6.

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