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Lecture 1 Matlab Exercise Lee-Kang Lester Liu. Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric.

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Presentation on theme: "Lecture 1 Matlab Exercise Lee-Kang Lester Liu. Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric."— Presentation transcript:

1 Lecture 1 Matlab Exercise Lee-Kang Lester Liu

2 Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

3 Problem M2.1 What are conjugate-symmetric and conjugate-anti-symmetric ? M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

4 Problem M2.1 Conjugate-symmetric : Conjugate-anti-symmetric : What are conjugate-symmetric and conjugate-anti-symmetric ? Where * denotes complex conjugate. M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

5 Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

6 Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

7 Problem M2.1 Therefore Conjugate-symmetric M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

8 Problem M2.1 Therefore Conjugate-anti-symmetric Conjugate-symmetric M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

9 Problem M2.1 M2.1 : write a Matlab Program to generate the conjugate-symmetric and conjugate- anti-symmetric parts of a finite-length complex sequence.

10 Question ?

11 Problem M2.2

12 Problem M2.2(a)

13

14

15

16 Problem M2.2(b)

17 Question ?

18 Problem M2.5 M2.5 : Using Matlab to verify the result of Example 2.15.

19 Problem M2.5 M2.5 : Using Matlab to verify the result of Example 2.15.

20 Problem M2.5 M2.5 : Using Matlab to verify the result of Example 2.15.

21 Problem M2.5 M2.5 : Using Matlab to verify the result of Example 2.15.

22 Problem M2.5 M2.5 : Using Matlab to verify the result of Example 2.15.

23 Question ?

24 Problem M3.1

25 In z-plane, what are those roots in denominator ?

26 Problem M3.1

27 Note : these roots are poles of the transfer function.

28 Question ?

29 Problem M3.3(b) M3.1 : Determine and plot the real and imaginary parts and the magnitude and phase spectra of the following DTFT.

30 Problem M3.3(b) M3.1 : Determine and plot the real and imaginary parts and the magnitude and phase spectra of the following DTFT. Using Matlab roots function to check its zeros.!!

31 Question ?


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