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July 1, 2023
    

 

    • Watch video entitled “Module 6 –  Discrete-Time Signals in MATLAB”
    • Work the lab activity below using MATLAB.
    • Include answers for Problems and include MATLAB coding along with any output plots that support solutions into a Word document entitled “Lab6_StudentID”.  Where your student id is substituted in the file name.
    • Upload file “Lab6_StudentID”.

 

Activity 1:

 

A discrete-time system can be described in one of two ways.  One is by the unit-pulse response of the system, and the other is by the difference equation.  In the first case, if we are given an input and want to find the output, we have to convolve the system response with the input signal.  In the second case, we have to solve the difference equation for the output when the input signal is substituted into the difference equation.  The result should be the same no matter what approach is used. 

 

A discrete-time system has the following unit-pulse response:

 

              for

 

Correspondingly, the following difference equation describes the behavior of the system:

 

 

    • Use the Matlab command conv to calculate the response of the system to a unit step input, x[n]=u[n].  Consider .  Show what you type into the Matlab command window.  Also, submit a plot of the output.  Be sure to label your axes. 

 

Matlab Tip:  Remember that you can easily get help on a command in Matlab by typing help with the command at the prompt:

 

EDU>>help conv

 

Matlab Tip:  Also, don't forget that in Matlab when you do certain operations on an array element-by-element, you must precede the operator with a period.  For instance, in Matlab, if you define an array n as follows:

 

EDU>>n=[0:20];

 

then the first term of the unit-pulse response is written as 0.5.^n  

 

Matlab Tip:  Sometimes it is useful to know the size of arrays you have created.  This can be done in several ways.  For example, you can use the command size:

 

EDU>> size(n)

 

ans =

 

     1    21

 

The size of the array is returned.  In this case, the array n has a size of 1 row by 21 columns.

 

Alternatively, you can switch the display from the Current Directory to the Workspace.  Then all current variables and arrays and their sizes are displayed.  Just click on Workspace in the upper left corner as indicated below.

 

 

    • Use the Matlab function recur to calculate the response of the system to a unit step input, x[n]=u[n].  Again consider .  Show all that you type into the Matlab command window.  Submit a plot of the output with the axes labeled.

 

The Matlab function recur is not a function which comes with Matlab or any of the toolboxes you have installed.  Instead, it is a that must be added to your Matlab directory. 

 

The Matlab function recur can be found in a zip file at the Mathworks site at the following location:

 

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=2148

 

Extract the file recur.m to the current directory shown at the top of the Matlab window.

 

On the other hand, you can copy and paste the script below into a text file like Notepad and save it as recur.m in the current directory shown at the top of the Matlab window.

 

function y = recur(a,b,n,x,x0,y0);

 

%

 

% y = recur(a,b,n,x,x0,y0)

 

%  solves for y[n] from:

 

% y[n] + a1*y[n-1] + a2*y[n-2]... + an*y[n-N]

 

%   =  b0*x[n] + b1*x[n-1] + ... + bm*x[n-M]

 

%

 

% a, b, n, x, x0 and y0 are vectors

 

% a = [a1 a2 ... aN]

 

% b = [b0 b1 ... bM]

 

% n contains the time values for which the solution will be computed

 

% y0 contains the initial conditions for y, in order,

 

%    i.e., y0 = [y[n0-N], y[n0-N+1], ...,y[n0-1]]

 

%    where n0 represents the first element of n

 

% x0 contains the initial conditions on x, in order

 

%    i.e., x0 = [x[n0-M],...,x[n0-1]]

 

% the output, y, has length(n)

 

%

 

N = length(a);

 

M = length(b)-1;

 

if length(y0) ~= N,

 

  error('Lengths of a and y0 must match')

 

end

 

if length(x0) ~= M,

 

  error('Length of x0 must match length of b-1')

 

end

 

y = [y0 zeros(1,length(n))];

 

x = [x0 x];

 

a1 = a(length(a):-1:1);             % reverses the elements in a

 

b1 = b(length(b):-1:1);      

 

for i=N+1:N+length(n),

 

  y(i) = -a1*y(i-N:i-1)' + b1*x(i-N:i-N+M)';

 

end

 

y = y(N+1:N+length(n));

 

To get information on how to use the function, at the Matlab prompt, type:

 

EDU>>help recur

 

It might be helpful to change the index of the difference equation such that the highest index is n rather than n+2.

 

    • Are your plots the same?  If not, why not?

 

 

**PLEASE SEE ATTACHMENT**

default image
July 1, 2023
    

 

    • Watch video entitled “Module 6 –  Discrete-Time Signals in MATLAB”
    • Work the lab activity below using MATLAB.
    • Include answers for Problems and include MATLAB coding along with any output plots that support solutions into a Word document entitled “Lab6_StudentID”.  Where your student id is substituted in the file name.
    • Upload file “Lab6_StudentID”.

 

Activity 1:

 

A discrete-time system can be described in one of two ways.  One is by the unit-pulse response of the system, and the other is by the difference equation.  In the first case, if we are given an input and want to find the output, we have to convolve the system response with the input signal.  In the second case, we have to solve the difference equation for the output when the input signal is substituted into the difference equation.  The result should be the same no matter what approach is used. 

 

A discrete-time system has the following unit-pulse response:

 

              for

 

Correspondingly, the following difference equation describes the behavior of the system:

 

 

    • Use the Matlab command conv to calculate the response of the system to a unit step input, x[n]=u[n].  Consider .  Show what you type into the Matlab command window.  Also, submit a plot of the output.  Be sure to label your axes. 

 

Matlab Tip:  Remember that you can easily get help on a command in Matlab by typing help with the command at the prompt:

 

EDU>>help conv

 

Matlab Tip:  Also, don't forget that in Matlab when you do certain operations on an array element-by-element, you must precede the operator with a period.  For instance, in Matlab, if you define an array n as follows:

 

EDU>>n=[0:20];

 

then the first term of the unit-pulse response is written as 0.5.^n  

 

Matlab Tip:  Sometimes it is useful to know the size of arrays you have created.  This can be done in several ways.  For example, you can use the command size:

 

EDU>> size(n)

 

ans =

 

     1    21

 

The size of the array is returned.  In this case, the array n has a size of 1 row by 21 columns.

 

Alternatively, you can switch the display from the Current Directory to the Workspace.  Then all current variables and arrays and their sizes are displayed.  Just click on Workspace in the upper left corner as indicated below.

 

 

    • Use the Matlab function recur to calculate the response of the system to a unit step input, x[n]=u[n].  Again consider .  Show all that you type into the Matlab command window.  Submit a plot of the output with the axes labeled.

 

The Matlab function recur is not a function which comes with Matlab or any of the toolboxes you have installed.  Instead, it is a that must be added to your Matlab directory. 

 

The Matlab function recur can be found in a zip file at the Mathworks site at the following location:

 

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=2148

 

Extract the file recur.m to the current directory shown at the top of the Matlab window.

 

On the other hand, you can copy and paste the script below into a text file like Notepad and save it as recur.m in the current directory shown at the top of the Matlab window.

 

function y = recur(a,b,n,x,x0,y0);

 

%

 

% y = recur(a,b,n,x,x0,y0)

 

%  solves for y[n] from:

 

% y[n] + a1*y[n-1] + a2*y[n-2]... + an*y[n-N]

 

%   =  b0*x[n] + b1*x[n-1] + ... + bm*x[n-M]

 

%

 

% a, b, n, x, x0 and y0 are vectors

 

% a = [a1 a2 ... aN]

 

% b = [b0 b1 ... bM]

 

% n contains the time values for which the solution will be computed

 

% y0 contains the initial conditions for y, in order,

 

%    i.e., y0 = [y[n0-N], y[n0-N+1], ...,y[n0-1]]

 

%    where n0 represents the first element of n

 

% x0 contains the initial conditions on x, in order

 

%    i.e., x0 = [x[n0-M],...,x[n0-1]]

 

% the output, y, has length(n)

 

%

 

N = length(a);

 

M = length(b)-1;

 

if length(y0) ~= N,

 

  error('Lengths of a and y0 must match')

 

end

 

if length(x0) ~= M,

 

  error('Length of x0 must match length of b-1')

 

end

 

y = [y0 zeros(1,length(n))];

 

x = [x0 x];

 

a1 = a(length(a):-1:1);             % reverses the elements in a

 

b1 = b(length(b):-1:1);      

 

for i=N+1:N+length(n),

 

  y(i) = -a1*y(i-N:i-1)' + b1*x(i-N:i-N+M)';

 

end

 

y = y(N+1:N+length(n));

 

To get information on how to use the function, at the Matlab prompt, type:

 

EDU>>help recur

 

It might be helpful to change the index of the difference equation such that the highest index is n rather than n+2.

 

    • Are your plots the same?  If not, why not?

 

 

**PLEASE SEE ATTACHMENT**

default image
July 1, 2023
    

 

    • Watch video entitled “Module 6 –  Discrete-Time Signals in MATLAB”
    • Work the lab activity below using MATLAB.
    • Include answers for Problems and include MATLAB coding along with any output plots that support solutions into a Word document entitled “Lab6_StudentID”.  Where your student id is substituted in the file name.
    • Upload file “Lab6_StudentID”.

 

Activity 1:

 

A discrete-time system can be described in one of two ways.  One is by the unit-pulse response of the system, and the other is by the difference equation.  In the first case, if we are given an input and want to find the output, we have to convolve the system response with the input signal.  In the second case, we have to solve the difference equation for the output when the input signal is substituted into the difference equation.  The result should be the same no matter what approach is used. 

 

A discrete-time system has the following unit-pulse response:

 

              for

 

Correspondingly, the following difference equation describes the behavior of the system:

 

 

    • Use the Matlab command conv to calculate the response of the system to a unit step input, x[n]=u[n].  Consider .  Show what you type into the Matlab command window.  Also, submit a plot of the output.  Be sure to label your axes. 

 

Matlab Tip:  Remember that you can easily get help on a command in Matlab by typing help with the command at the prompt:

 

EDU>>help conv

 

Matlab Tip:  Also, don't forget that in Matlab when you do certain operations on an array element-by-element, you must precede the operator with a period.  For instance, in Matlab, if you define an array n as follows:

 

EDU>>n=[0:20];

 

then the first term of the unit-pulse response is written as 0.5.^n  

 

Matlab Tip:  Sometimes it is useful to know the size of arrays you have created.  This can be done in several ways.  For example, you can use the command size:

 

EDU>> size(n)

 

ans =

 

     1    21

 

The size of the array is returned.  In this case, the array n has a size of 1 row by 21 columns.

 

Alternatively, you can switch the display from the Current Directory to the Workspace.  Then all current variables and arrays and their sizes are displayed.  Just click on Workspace in the upper left corner as indicated below.

 

 

    • Use the Matlab function recur to calculate the response of the system to a unit step input, x[n]=u[n].  Again consider .  Show all that you type into the Matlab command window.  Submit a plot of the output with the axes labeled.

 

The Matlab function recur is not a function which comes with Matlab or any of the toolboxes you have installed.  Instead, it is a that must be added to your Matlab directory. 

 

The Matlab function recur can be found in a zip file at the Mathworks site at the following location:

 

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=2148

 

Extract the file recur.m to the current directory shown at the top of the Matlab window.

 

On the other hand, you can copy and paste the script below into a text file like Notepad and save it as recur.m in the current directory shown at the top of the Matlab window.

 

function y = recur(a,b,n,x,x0,y0);

 

%

 

% y = recur(a,b,n,x,x0,y0)

 

%  solves for y[n] from:

 

% y[n] + a1*y[n-1] + a2*y[n-2]... + an*y[n-N]

 

%   =  b0*x[n] + b1*x[n-1] + ... + bm*x[n-M]

 

%

 

% a, b, n, x, x0 and y0 are vectors

 

% a = [a1 a2 ... aN]

 

% b = [b0 b1 ... bM]

 

% n contains the time values for which the solution will be computed

 

% y0 contains the initial conditions for y, in order,

 

%    i.e., y0 = [y[n0-N], y[n0-N+1], ...,y[n0-1]]

 

%    where n0 represents the first element of n

 

% x0 contains the initial conditions on x, in order

 

%    i.e., x0 = [x[n0-M],...,x[n0-1]]

 

% the output, y, has length(n)

 

%

 

N = length(a);

 

M = length(b)-1;

 

if length(y0) ~= N,

 

  error('Lengths of a and y0 must match')

 

end

 

if length(x0) ~= M,

 

  error('Length of x0 must match length of b-1')

 

end

 

y = [y0 zeros(1,length(n))];

 

x = [x0 x];

 

a1 = a(length(a):-1:1);             % reverses the elements in a

 

b1 = b(length(b):-1:1);      

 

for i=N+1:N+length(n),

 

  y(i) = -a1*y(i-N:i-1)' + b1*x(i-N:i-N+M)';

 

end

 

y = y(N+1:N+length(n));

 

To get information on how to use the function, at the Matlab prompt, type:

 

EDU>>help recur

 

It might be helpful to change the index of the difference equation such that the highest index is n rather than n+2.

 

    • Are your plots the same?  If not, why not?

 

 

**PLEASE SEE ATTACHMENT**

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Journal article, 20 pages
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August 5, 2021
    

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Political Science, 6 pages
Admission Essay
August 5, 2021
    

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Tourism, 1 page
Discussion Essay
August 5, 2021
    

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Philosophy, 5 pages
Report
August 5, 2021
    

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Psychology, 4 pages
Essay (any type)
August 5, 2021
    

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customer #17823
Business, 8 pages

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

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Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

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Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

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Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

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Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

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