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Find the roots for polynomials shown using matlab

Assignment Help Simulation in MATLAB
Reference no: EM131426549

MATLAB Session on Signals, Systems

MATLAB Session

-Continuous Time System Analysis

  • Learn to find "roots" for "Characteristic Functions" in MATLAB.
  • Find "Zero Input Response" from "Differential Equation" in CT system and plot the result w.r.t. time.
  • Find "Zero State Response" from "Differential Equation" in CT system and plot the result w.r.t. time.
  • Discrete Time System Analysis
  • Learn to find and plot DT signals, impulse, response.
  • Find "Zero State Response" using filter function from "DifferenCE Equation" in DT system and plot the result w.r.t. time sequence.
  • Write MATLAB code to plot Zero State Response (Convolution), y(t), for given signal and impulse response using conv function.

Finding Roots for Characteristic Functions -

INLAB Report (1):

  • Find the roots for polynomials shown above using MATLAB.
  • Can you guess a function which finds "roots" for polynomials in MATLAB?
  • Use help in MATLAB to find the syntax for function.

Finding Zero Input Response and Zero State Response in CT System -

INLAB Report (2):

  • Find the Zero Input Response using MATLAB.
  • Consider using "dsolve" function.
  • Use help in MATLAB to find the syntax for function.

INLAB Report (3):

  • Add following results to your previous C2.2 results.
  • Plot your result, yzi(t), w.r.t. time.
  • Use "linspace" function to define time from 0[sec] to 3[sec] with 100[samples].
  • Use "y_zi = eval(vectorize(y));" to convert function into a vector.
  • Display between 0 ~ 3[sec] in x-axis, 0 ~ 6 in y-axis.
  • Use help in MATLAB to find the syntax for function.

INLAB Report (4):

  • Find the Zero State Response using MATLAB.
  • Plot your result, yzs(t), w.r.t. time.
  • Use "linspace" function to define time from 0[sec] to 3[sec] with 100[samples].
  • Display between 0 ~ 3[sec] in x-axis, 0 ~ 6 in y-axis.

Finding Impulse Response (h(n)) for a DT system -

INLAB Report (5):

Generate DT unit step function x[n] = u[n]

  • Define time sequence n from 0 to 19.
  • Use "ones" function to generate unit step function.
  • Use help in MATLAB to find the syntax for function.

Plot your result, x[n], w.r.t. time sequence n using "stem" function.

  • Display result from -1 to 19 in x-axis and -2 to 2 in y-axis

INLAB Report (6):

Generate DT unit ramp function x[n] = r[n] = t x u[n]

  • Define time sequence n from 0 to 19.
  • Use "ones" function to generate unit step function.
  • Use help in MATLAB to find the syntax for function.

Plot your result, x[n], w.r.t. time sequence n using "stem" function.

  • Display result from -1 to 19 in x-axis and -2 to 20 in y-axis.

INLAB Report (7):

Generate DT unit impulse function x[n] = d[n]

  • Define time sequence n from 0 to 19.
  • Use "zeros" function to generate unit step function.
  • Use help in MATLAB to find the syntax for function.

Plot your result, x[n], w.r.t. time sequence n using "stem" function.

  • Display result from -1 to 19 in x-axis and -2 to 2 in y-axis

INLAB Report (8):

Find the Impulse Response for a DT system below using MATLAB.

y[n+2] - 0.6y[n+1] - 0.16y[n] = 5x[n=2]

Plot your result, h[n], w.r.t. time sequence n using "stem" function.

Use "filter" function to describe the difference equation.

a = [1 -0.6 -0.16];

b = [5 0 0];

h = filter(b, a, x);

Think about your input x[n]... Use time sequence n from 0 to 19.

Finding Zero State Response for a DT system -

INLAB Report (9):

For the same DT system below,

y[n+2] - 0.6y[n+1] - 0.16y[n] = 5x[n+2]

Apply DT unit step input x[n] = u[n] to the system. Use time sequence n from 0 to 19.

Plot your results, x[n] (input), y[n] (output), w.r.t. time sequence n using "stem" function.

INLAB Report (10):

For the same DT system below,

y[n+2] - 0.6y[n+1] - 0.16y[n] = 5x[n+2]

Apply DT unit ramp input x[n] = r[n] to the system. Use time sequence n from 0 to 19.

Plot your results, x[n] (input), y[n] (output), w.r.t. time sequence n using "stem" function.

INLAB Report (11):

For the same DT system below,

y[n+2] - 1.5y[n+1] + y[n] = 2x[n]

Apply DT input x[n] = 4-nu[n] to the system.

  • Use time sequence n from 0 to 19.
  • Use "stp_fn(n)" to generate input.

Plot your results, x[n] (input), y[n] (output), w.r.t. time sequence n using "stem" function.

Finding and plotting Convolution Integral -

INLAB Report (12):

Write MATLAB code to plot Discrete Time Zero State Response (Convolution), y(t), for below signal, x[n] ,and impulse response, h[n].

  • Use "conv" function to find convolution.
  • Plot your results (x[n], h[n], y[n] )

Explain your code. (Provide line-by-line description on the code)

INLAB Report (13):

Write MATLAB code to plot Continuous Time Zero State Response (Convolution), y(t), for the same signal, x( t ) ,and impulse response, h(t).

-Convert your DT signals to CT signals (Use 100 sample points between 1 discrete sequences to be considered as "continuous")

  • x[n] → x(t)
  • h[n] → h(t)

-Use "conv" function to find convolution.

-Think about spacing between integers (number of sample points between 1 discrete sequences), you will have to normalize your result.

-Plot your results (x(t), h(t), y(t))

Explain your code. (provide line-by-line description on the code)

Attachment:- Matlab Assignment.rar

Reference no: EM131426549

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len1426549

3/14/2017 3:29:02 AM

MATLAB Session on Signals, Systems CT and DT Z.I. Response and Z.S. Response MATLAB Session. Complete all "INLAB Report" in the slides. Include following in your reports. Your own MATLAB code. All outputs. (2-D plots, data array, etc.) Description of your code and results in your own words. Submit a printed copy of your report.

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