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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).
matlab code for The region bounded by the parabola x2 = y and the line y = x in the first quadrant is rotated about the X-axis to generate a solid. Find the volume of the solid.
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how to control a suspension by linear quadratic regulator method?
Objectives In the following exercises, students are required ?rstly to implement code to determine the frequency components present in a signal, and then to extract a desired si
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