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Home/EECS 4380/5380: Digital Signal processing

electricalstudent Latest Articles

On: March 15, 2022 Posted in digital signal processing Comments: 0 Views: 9

A LTI system is described by
y(n] = x(n] +2x|n-1] + x[n-2]
(a) Decide its system impulse response h(n).
(b) Is this system stable? give reasoning for your answer.
(c) Decide its frequency response H(elo).
(9)
Let the discrete system is defined by input x[m], output y[n] and system
function h|n]. Answer to the following:
(a) Using Convolution, find output y[n] for input x[n] = 8(n] + 28[n-1] +
8[n-2] and h(n] = U(n]. Also Sketch it using stem plot.
(4)
(b) Find y[n] in a closed form for x[n]= U(n] and h[n] = a”U[n]
(assume n≥0 and a]<1). You may use Z transform.
(4)
Find the discrete-time system function H(z) that responds to an input
sequence {1, 0.6; and an output sequence { 4, 2, 1, 1, 1, 1, 1, 1, 1,-
(here
_- means all 1s)
(9)
4.
Solve, by Z-transform, for y[n] in a closed form,
y(n+2] -y[n] -y[n+1]=0, where y[O]=0 and y[1)=1.
Use Z[y(n+1)]=zY(z) -zy(0) and
Z[y(n+2) = z?Y(z)-27y(0) – zy(1)

A LTI system is described by<br>y(n] = x(n] +2x|n-1] + x[n-2]<br>(a) Decide its system impulse response h(n).<br>(b) Is this system stable? give reasoning for your answer.<br>(c) Decide its frequency response H(elo).<br>(9)<br>Let the discrete system is defined by input x[m], output y[n] and system<br>function h|n]. Answer to the following:<br>(a) Using Convolution, find output y[n] for input x[n] = 8(n] + 28[n-1] +<br>8[n-2] and h(n] = U(n]. Also Sketch it using stem plot.<br>(4)<br>(b) Find y[n] in a closed form for x[n]= U(n] and h[n] = a”U[n]<br>(assume n≥0 and a]<1). You may use Z transform.<br>(4)<br>Find the discrete-time system function H(z) that responds to an input<br>sequence {1, 0.6; and an output sequence { 4, 2, 1, 1, 1, 1, 1, 1, 1,-<br>(here<br>_- means all 1s)<br>(9)<br>4.<br>Solve, by Z-transform, for y[n] in a closed form,<br>y(n+2] -y[n] -y[n+1]=0, where y[O]=0 and y[1)=1.<br>Use Z[y(n+1)]=zY(z) -zy(0) and<br>Z[y(n+2) = z?Y(z)-27y(0) – zy(1)
https://electricalstudent.com/wp-content/uploads/2022/03/b7aad2a9-be6e-4955-b0f1-908bc32a0fcc-768×1024.jpg&#8221; alt=”A LTI system is described byy(n] = x(n] +2x|n-1] + x[n-2](a) Decide its system impulse response h(n).(b) Is this system stable? give reasoning for your answer.(c) Decide its frequency response H(elo).(9)Let the discrete system is defined by input x[m], output y[n] and systemfunction h|n]. Answer to the following:(a) Using Convolution, find output y[n] for input x[n] = 8(n] + 28[n-1] +8[n-2] and h(n] = U(n]. Also Sketch it using stem plot.(4)(b) Find y[n] in a closed form for x[n]= U(n] and h[n] = a”U[n](assume n≥0 and a]<1). You may use Z transform.(4)Find the discrete-time system function H(z) that responds to an inputsequence {1, 0.6; and an output sequence { 4, 2, 1, 1, 1, 1, 1, 1, 1,-(here_- means all 1s)(9)4.Solve, by Z-transform, for y[n] in a closed form,y(n+2] -y[n] -y[n+1]=0, where y[O]=0 and y[1)=1.Use Z[y(n+1)]=zY(z) -zy(0) andZ[y(n+2) = z?Y(z)-27y(0) – zy(1)” class=”wp-image-13764″/>https://electricalstudent.com/wp-content/uploads/2022/03/b7aad2a9-be6e-4955-b0f1-908bc32a0fcc-768×1024.jpg&#8221; alt=”A LTI system is described by
y(n] = x(n] +2x|n-1] + x[n-2]
(a) Decide its system impulse response h(n).
(b) Is this system stable? give reasoning for your answer.
(c) Decide its frequency response H(elo).
(9)
Let the discrete system is defined by input x[m], output y[n] and system
function h|n]. Answer to the following:
(a) Using Convolution, find output y[n] for input x[n] = 8(n] + 28[n-1] +
8[n-2] and h(n] = U(n]. Also Sketch it using stem plot.
(4)
(b) Find y[n] in a closed form for x[n]= U(n] and h[n] = a”U[n]
(assume n≥0 and a]<1). You may use Z transform.
(4)
Find the discrete-time system function H(z) that responds to an input
sequence {1, 0.6; and an output sequence { 4, 2, 1, 1, 1, 1, 1, 1, 1,-
(here
_- means all 1s)
(9)
4.
Solve, by Z-transform, for y[n] in a closed form,
y(n+2] -y[n] -y[n+1]=0, where y[O]=0 and y[1)=1.
Use Z[y(n+1)]=zY(z) -zy(0) and
Z[y(n+2) = z?Y(z)-27y(0) – zy(1)” class=”wp-image-13764″/>
(more…)