![(30 points) This problem is related to Problem 3.47a (page 221) in the text. Compute the convolution of the two sequences defined by r(n) 1,1,4,4], for n --1, ..., 2, and h(n) - [2, 4,3,3,2], for n 3,1 using the 1-sided z-transform. Enter the sequence as a comma separated list y(n)-z(n) *h(n)=[ 2,6,1 5,30,33,26,20,8 for the indices n4 (first and last indices of y(n).) Hint: first compute the one sided transform of x and h. Next, multiply the one sided transforms. Finally, the inverse transform should provided the desired answer](http://img.homeworklib.com/questions/de6d97e0-cc5e-11ea-a75e-df8797127769.png?x-oss-process=image/resize,w_560)
please it is asking one sided transform and answer it indetail by hand to be answered during the test.
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please it is asking one sided transform and answer it indetail
by hand to be answered...
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine...
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine the z-transform of the convolution of the two sequences using the convolution property of the Z-transform Y(z) = X(z) H(2) Determine the convolution y[n] = x[n] * h[n] by using the inverse z-transform Problem 3: Find the inverse z-transform for the functions below. 4z-1 2-4 z-8 X(Z) = + 2-5 Z - 1 2-05 X(Z) = Z 2z2 + 2.7 z + 2
Number one posted as a reference. Only need problem 6 answered. Thanks 6. using the property...
Number one posted as a reference. Only need problem 6 answered.
Thanks
6. using the property F{f1 + f2} = F{fi} F{12} Calculate the Fourier transform of a triangular pulse. See Prob. 1 1. Determine the convolution of the following pulse h(t) with itself. That is, h(t) y(t) = h(t) * h(t) =?
2. (14 points) This problem shows an example of using the Fourier transform to analyze communicat...
2. (14 points) This problem shows an example of using the Fourier transform to analyze communication systems. The system in Figure 4, where (t)-f(t)+sin(wt) and has been proposed for amplitude modulation. f(t) + sin(o) Figure 4: System proposed for amplitude modulation. (a) (7 points) The spectrum of the input f(t) is shown in Figure 1, where 2mB o/100. Sketch and label the spectrum Y(w) of the signal y(t). Hint: You will need to use the frequency convolution property of the...
5. The z transform is a very useful tool for studying difference equations. Often difference and ...
5. The z transform is a very useful tool for studying difference equations. Often difference and differential equations are used to describe causal systems and only the causal solution is of interest. This is the "initial condition" problem of a differential equations course. But both difference and differential equations describe more than just the causal system. For instance, "backwards" solutions and "two point boundary value" solutions. One way in which to think about the problem is the ROC of the...
need help with second question, please include all steps. 2. Consider a z-transform given by 22...
need help with second question, please include all
steps.
2. Consider a z-transform given by 22 -2 23 322 42 +1 a) Using power-series expansion techniques, determine the first three (closest to n 0 non-zero (b) Using power-series expansion techniques, determine the first three (closest to n-0) non-zero (c) Suppose the ROC of X(2) has the form k2 2 k Devise a power-series expansion based terms of r n assuming the ROC of X() has form 2l < ki. What...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*)...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
Fill all Answer Blanks and show all calculations in a separate sheet of paper. Problem: Given...
Fill all Answer Blanks and show all calculations in a separate sheet of paper. Problem: Given the Pole-Zero Plot (one pole and one zero at the origin) of a causal filter with a normalized magnitude frequency response (max |H(w)l 1): 0.8 a) It is a FIR or IIR filter? b) what is the R.O.C of the filter ? c) Is the filter stable BIBO? Answer: Answer: Izl> Arıswer: d) The magnitude frequency response has a maximum peak at w0. Answer:...
Answer for the last box only please. Thanks Entered Answer Preview Result Y's+5°Y+2 Ys + 5Y...
Answer for the last box only please. Thanks
Entered Answer Preview Result Y's+5°Y+2 Ys + 5Y +2 correct (5/s)*([e^(-s)]-1) correct (5*[e^(-s)]-5-2*s/[s*(s+5)] 5e : - 5 - 28 $(8 + 5) correct u(t-1)"[u(t-1)-(e^{-5* (t-1)]]]-u(t)+(e^(-5*t)]-(2/5) ult – 1)(ult – 1) – е11-1)) – u(t) +e5 incorrect At least one of the answers above is NOT correct. (1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: 1 + 5y = -5, ( 0, 0<t<...
Please answer both (a) and (b) and code using Python3. Exercise 8.3 The Lorenz equations One...
Please answer both (a) and (b) and code using Python3.
Exercise 8.3 The Lorenz equations One of the most celebrated sets of differential equations in physics is the Lorenz equations: dx dz ar=0(y-x), dr where σ r, and b are constants. (The names σ, r, and bare odd, but traditional-they are always used in these equations for historical reasons.) These equations were first studied by Edward Lorenz in 1963, who derived them from a simplified model of weather patterns. The...
This is all one question please answer asap Line Integral & Path Independency Problem 1 Prove...
This is all one question please
answer asap
Line Integral & Path Independency Problem 1 Prove that the vector field F = (2x – 3yz?) { +(2 – 3xz) j-6xyzk is the gradient of a scalar function f(x,y,z). Hint: find the curl of F, is it a zero vector? Integrate and find f(x,y,z), called a potential, like from potential energy? Show all your work. Then, use f(x,y,z) to compute the line integral, or work of the force F: Work of...
em 2: Given two sequences x[n] = 8 8[n - 8] and h[n] = (0.7)"u[n] Determine the z-transform of the convolution of the two sequences using the convolution property of the Z-transform Y(z) = X(z) H(2) Determine the convolution y[n] = x[n] * h[n] by using the inverse z-transform Problem 3: Find the inverse z-transform for the functions below. 4z-1 2-4 z-8 X(Z) = + 2-5 Z - 1 2-05 X(Z) = Z 2z2 + 2.7 z + 2
Number one posted as a reference. Only need problem 6 answered.
Thanks
6. using the property F{f1 + f2} = F{fi} F{12} Calculate the Fourier transform of a triangular pulse. See Prob. 1 1. Determine the convolution of the following pulse h(t) with itself. That is, h(t) y(t) = h(t) * h(t) =?
2. (14 points) This problem shows an example of using the Fourier transform to analyze communication systems. The system in Figure 4, where (t)-f(t)+sin(wt) and has been proposed for amplitude modulation. f(t) + sin(o) Figure 4: System proposed for amplitude modulation. (a) (7 points) The spectrum of the input f(t) is shown in Figure 1, where 2mB o/100. Sketch and label the spectrum Y(w) of the signal y(t). Hint: You will need to use the frequency convolution property of the...
5. The z transform is a very useful tool for studying difference equations. Often difference and differential equations are used to describe causal systems and only the causal solution is of interest. This is the "initial condition" problem of a differential equations course. But both difference and differential equations describe more than just the causal system. For instance, "backwards" solutions and "two point boundary value" solutions. One way in which to think about the problem is the ROC of the...
need help with second question, please include all
steps.
2. Consider a z-transform given by 22 -2 23 322 42 +1 a) Using power-series expansion techniques, determine the first three (closest to n 0 non-zero (b) Using power-series expansion techniques, determine the first three (closest to n-0) non-zero (c) Suppose the ROC of X(2) has the form k2 2 k Devise a power-series expansion based terms of r n assuming the ROC of X() has form 2l < ki. What...
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
Fill all Answer Blanks and show all calculations in a separate sheet of paper. Problem: Given the Pole-Zero Plot (one pole and one zero at the origin) of a causal filter with a normalized magnitude frequency response (max |H(w)l 1): 0.8 a) It is a FIR or IIR filter? b) what is the R.O.C of the filter ? c) Is the filter stable BIBO? Answer: Answer: Izl> Arıswer: d) The magnitude frequency response has a maximum peak at w0. Answer:...
Answer for the last box only please. Thanks
Entered Answer Preview Result Y's+5°Y+2 Ys + 5Y +2 correct (5/s)*([e^(-s)]-1) correct (5*[e^(-s)]-5-2*s/[s*(s+5)] 5e : - 5 - 28 $(8 + 5) correct u(t-1)"[u(t-1)-(e^{-5* (t-1)]]]-u(t)+(e^(-5*t)]-(2/5) ult – 1)(ult – 1) – е11-1)) – u(t) +e5 incorrect At least one of the answers above is NOT correct. (1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: 1 + 5y = -5, ( 0, 0<t<...
Please answer both (a) and (b) and code using Python3.
Exercise 8.3 The Lorenz equations One of the most celebrated sets of differential equations in physics is the Lorenz equations: dx dz ar=0(y-x), dr where σ r, and b are constants. (The names σ, r, and bare odd, but traditional-they are always used in these equations for historical reasons.) These equations were first studied by Edward Lorenz in 1963, who derived them from a simplified model of weather patterns. The...
This is all one question please
answer asap
Line Integral & Path Independency Problem 1 Prove that the vector field F = (2x – 3yz?) { +(2 – 3xz) j-6xyzk is the gradient of a scalar function f(x,y,z). Hint: find the curl of F, is it a zero vector? Integrate and find f(x,y,z), called a potential, like from potential energy? Show all your work. Then, use f(x,y,z) to compute the line integral, or work of the force F: Work of...
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