Determine the equation for the steady state output, MATLAB Programming

Assignment Help:

A filter described by the equation:    y(n) = x(n) + x(n-1) + 0.9 y(n-1) - 0.81 y(n-2)

(a) Find the transfer function H(z) for the filter and find the poles and zeros of the filter.

(b) Plot the poles and zeros of the filter using zplane(b,a) and tell whether or not this filter is stable.

(c) Plot the magnitude and phase of the frequency response of the filter.  Annotate the plots to indicate the magnitude and phase response at points ω=0.33π and  ω=π.

(d)  Generate 200 samples of the signal x(n) = sin(0.33π n) + 5 cos(nπ) and process them through the filter. Plot both the filter's input x(n) and output y(n) on the same graph.

(e) How are the amplitudes of the two sinusoids affected by the filter?

(f)  Determine the equation for the steady-state output yss(n) of the filter whose input is x(n).


Related Discussions:- Determine the equation for the steady state output

Plot conour lines on the axes space , The following four 4 equations are ne...

The following four 4 equations are needed to be plotted as CONTOUR lines on the axes space (C, T) where C is the horizontal axis, and T is the vertical axis. Contour lines for

Determine the ball temperature , In the manufacturing of ball bearings, the...

In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or "quenching" by submersion in an oil or

Shift a signal and then add, I have a biological signal need to be shifted ...

I have a biological signal need to be shifted by 12.5 ms and then add all the shefted signals together

Equations of motion of shaft-rotor system, Consider the shaft-rotor system ...

Consider the shaft-rotor system shown in Figure. Write down the equations of motion. Taking  I= 1 kgm 2 and k=10 kNm/rad, for two special cases (α =0.5 and α = 1000) find as many

Critical path method in matlab, i made graph using adjacent matrix i have t...

i made graph using adjacent matrix i have to find the critical path on that graph in matlab work can you please give me that code.

Extraction, i want to extract an image from its background in matlab..the i...

i want to extract an image from its background in matlab..the image is a binary image

Find the dft frequency resolution, (a) Using Matlab, find and plot the magn...

(a) Using Matlab, find and plot the magnitude of the DTFT of 10 samples of x(n) for n=[0:1:9] of x(n) = cos(2*pi*f1*n) + cos(2*pi*f2*n)  for f1=0.22 and f2=0.24 and pad zeros to ge

Program to find the minimum total cost for the fence, A fence enclosure con...

A fence enclosure consists of a rectangle of length L and width 2 R , and a semicircle of radius R , as shown in Figure 1. The enclosure is to be built to have an area of 1600 m

Write m-function that computes simple returns as formula, Your Task: Write ...

Your Task: Write an M-function that computes simple returns as formula (1). Use this function to calculate the daily returns for each index. Using MATLAB build-in functions estimat

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd