![Problem 5. Determine the z-transform of the signal x[n] :=(-1)nu[n]. You may use already known z-transforms, such as those l](http://img.homeworklib.com/questions/4c908f60-d1ff-11ea-8263-a5da5ebee466.png?x-oss-process=image/resize,w_560)
![TABLE 5.1 Select (Unilateral) Z-Transform Pairs x[n] X[z] 8[n-k] ? 2-1 ոս[ո] (z - 1) z(z+1) (2-1)3 nºu[n] nu[n] z(z? + 4z +1)](http://img.homeworklib.com/questions/4cf09860-d1ff-11ea-8245-bfc229a364b6.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Problem 5. Determine the z-transform of the signal x[n] :=(-1)"nu[n]. You may use already known z-transforms,...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write ...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ,"
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant, and Z has a continuous uniform distribution on [−π, π] (i...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant,
and Z has a continuous uniform distribution on [−π, π] (i.e. Z ∼
U([−π, π])). Show that Xn is stationary. (Hint: sin(x) sin(y) = 1 2
(cos(x − y) − cos(x + y)) may be helpful).
l. Let Xn-a sin(bn+ Z), where n є z, a, b є lo,00) are constant, and Z has a continuous uniform distribution on [-π, π] (i.e. Z ~...
5. (22+2=4") Topic: The z-transform, z-transform properties Use the z-transform properties to determine the z-transform the...
5. (22+2=4") Topic: The z-transform, z-transform properties Use the z-transform properties to determine the z-transform the following signal and specify the region of convergence. x[n]=(1)"u[n]*2":[-n-1]+)?[n-2]
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3"...
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) =...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) = u(-n (c) x(n) -k2"u-1) (d) x(n) 0.5%1(n) + 3"11(-n) (e) x(n) = 4-nu(n) + 5-nu(n + 1) In the above, u(n) stand for the unit step signal in the discrete time domain. Also, if you can in each case determine the region of convergence of the Z-Transform you obtain.
(a) Find the z-transform of (i) x[n] = a"u[n] +b"u[n] + cºul-n – 1], lal <151...
(a) Find the z-transform of (i) x[n] = a"u[n] +b"u[n] + cºul-n – 1], lal <151 < le|| (ii) x[n] = n*a"u[n] (iii) x[n] = en* [cos (în)]u[n] – en" (cos (ien)] u[n – 1] (b) 1. Find the inverse z-transform of 1-jz-1 X(2) = (1+{z-1)(1 – {z-1) 2. Determine the inverse z-transform of x[n] is causal X(x) = log(1 – 2z), by (a) using the power series log(1 – x) = - 95 121 <1; (b) first differentiating X(2)...
Q4. a) Use Z-transform method to determine the output time sequence y(n) for the following impulse...
Q4. a) Use Z-transform method to determine the output time sequence y(n) for the following impulse response and excitation, h(n) = {2,-1,1,3}, x(n) = (-1)" u(n). b) For the DSP system shown, if x(t)=10 sin(300 ft), find x(n) and y(n). x(t) y(t) A/D h(n) =(n + 1)a"u[n] D/A f=1KHz
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot...
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot the ROC. [3] С
2-Use tables and properties to determine z-transform of the following signal x[n] = (+)*u[n] – (3)...
2-Use tables and properties to determine z-transform of the following signal x[n] = (+)*u[n] – (3) "u[n]
(a) Find the z-transform of (i) x[n] = a"u[n] + B^u[n] + cºul-n – 1], lal<...
(a) Find the z-transform of (i) x[n] = a"u[n] + B^u[n] + cºul-n – 1], lal< 161 < le| (ii) x[n] = n-au[n (iii) x[n] = {** [cos (Tan)]u[n] -em* [cos (fin)]u[n – 1]
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ,"
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant,
and Z has a continuous uniform distribution on [−π, π] (i.e. Z ∼
U([−π, π])). Show that Xn is stationary. (Hint: sin(x) sin(y) = 1 2
(cos(x − y) − cos(x + y)) may be helpful).
l. Let Xn-a sin(bn+ Z), where n є z, a, b є lo,00) are constant, and Z has a continuous uniform distribution on [-π, π] (i.e. Z ~...
5. (22+2=4") Topic: The z-transform, z-transform properties Use the z-transform properties to determine the z-transform the following signal and specify the region of convergence. x[n]=(1)"u[n]*2":[-n-1]+)?[n-2]
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...
3) Compute the Z-Transforms of the following time series: (a) x(n)k2"u(n) (b) + 1) x(n) = u(-n (c) x(n) -k2"u-1) (d) x(n) 0.5%1(n) + 3"11(-n) (e) x(n) = 4-nu(n) + 5-nu(n + 1) In the above, u(n) stand for the unit step signal in the discrete time domain. Also, if you can in each case determine the region of convergence of the Z-Transform you obtain.
(a) Find the z-transform of (i) x[n] = a"u[n] +b"u[n] + cºul-n – 1], lal <151 < le|| (ii) x[n] = n*a"u[n] (iii) x[n] = en* [cos (în)]u[n] – en" (cos (ien)] u[n – 1] (b) 1. Find the inverse z-transform of 1-jz-1 X(2) = (1+{z-1)(1 – {z-1) 2. Determine the inverse z-transform of x[n] is causal X(x) = log(1 – 2z), by (a) using the power series log(1 – x) = - 95 121 <1; (b) first differentiating X(2)...
Q4. a) Use Z-transform method to determine the output time sequence y(n) for the following impulse response and excitation, h(n) = {2,-1,1,3}, x(n) = (-1)" u(n). b) For the DSP system shown, if x(t)=10 sin(300 ft), find x(n) and y(n). x(t) y(t) A/D h(n) =(n + 1)a"u[n] D/A f=1KHz
3. The signal x[n] =-(b)”u[-n – 1]+ (0.5)”u[n], a) find the z-transform X(z) [5] b) plot the ROC. [3] С
2-Use tables and properties to determine z-transform of the following signal x[n] = (+)*u[n] – (3) "u[n]
(a) Find the z-transform of (i) x[n] = a"u[n] + B^u[n] + cºul-n – 1], lal< 161 < le| (ii) x[n] = n-au[n (iii) x[n] = {** [cos (Tan)]u[n] -em* [cos (fin)]u[n – 1]
Most questions answered within 3 hours.
-
(CO 2) A field can be added to a report to
values for two or more...
asked 1 hour ago -
Identify 3 research scenarios that might provide a low,
medium, and high degree of variability in...
asked 1 hour ago -
how
does gravity affect the trajectory of projectile? what would be the
shape of the trajactory...
asked 2 hours ago -
Two small plastic spheres are given positive electrical charges.
When they are a distance of 15.4...
asked 2 hours ago -
An acidic solution containing gold ions is
electrolyzed, producing gaseous oxygen (from water) at the anode...
asked 3 hours ago -
Assume that the population of Mexico is 128
million and that the population increases 1.01
percentannually....
asked 4 hours ago -
Can someone please help me add appropriate descriptive
comments to each line of code in the...
asked 4 hours ago -
Romeo wishes to throw a bouquet of flowers to Juliet, who is on
a second-story balcony,...
asked 5 hours ago -
Why is QE a controversial monetary policy tool.
A. It may lead to excessive inflation.B. By...
asked 5 hours ago -
Principles of Programming midterm study guide help!
1.)
______ Which of the following would reference the...
asked 4 hours ago -
A finite potential well has depth U0 = 2.78 eV . What is the
penetration distance...
asked 5 hours ago -
1. The bus bars of a power station are in two sections A and B
separated...
asked 5 hours ago