##### Reference no: EM13857100

I. System identification

Note: In matlab, delay a signal with N elements by one: ;

by two:

by three:

...

For a system as follows:

1.1) Let , find y1;

[

Example of Code:

x1 = [1,2,3,4,5,0,0,0,0,0];

x1_delay3 =[0,0,0,1,2,3,4,5,0,0] ;

y1=2*x1 + 3*x1_delay3;

% For the rest questions, you will program similar code to find out the outputs because the system function is same.

]

1.2) Let , find y2;

1.3) Let , find y3;

1.4) Comparing with y3;

2.1) Let , find y4;

2.2) Comparing with y4;

3.1) Let equals to x1 delay by 3, find y5;

3.2) Comparing y1 delay by 3 with y5

According to the above operations, a) is the system a linear system? b) is the system a time-invariant system?

For a system as follows: , repeat the same operations and answer the following questions: a) is the system a linear system? b) is the system a time-invariant system?

For a system as follows: , repeat the same operations and answer the following questions: a) is the system a linear system? b) is the system a time-invariant system?

II. Delta function and sampling

In matlab, a delta function can be expressed as:

For where , use delta function to sample out the values of : , , , , , , and .

After you finish lab, please upload one file, which includes all codes and question answers to moodle