The transfer function of a system is given by H(z)= Z/((z^2-0.8z+ 0.15)). To such a system...
The transfer function of a system is given by H(z)= Z/((z^2-0.8z+ 0.15)). To such a system we apply an input of the type x[n]=e^(-0.4n) "for n"≥0 . Find the response of the system in n domain using MATLAB for obtaining the partial fraction expansion and then manually inverting the output using z-transform tables.
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The transfer function of a system is given by H(z)= Z/((z^2-0.8z+ 0.15)). To such a system...
Please show all the steps clearly. 5. The transfer function of a system is given by...
Please show all the steps clearly.
5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2 0. Find the response of To such a system we apply an input of the type x [n] the system in n domain using MATLAB for obtaining the partial fraction expansion and then manually inverting the output using z-transform tables.
5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
Exercise 1 (Transfer Function Analysis) MATLAB provides numerous commands for working with polyno...
Please do part C only, thank you.
Exercise 1 (Transfer Function Analysis) MATLAB provides numerous commands for working with polynomials, ratios of polynomials, partial fraction expansions and transfer functions: see, for example, the commands roots, poly, conv, residue, zpk and tf (a) Use MATLAB to gener ate the continuous-time transfer function H5+15)( +26(s+72) s(s +56)2(s2 +5s +30) H(s) displaying the result in two forms: as (i) the given ratio of factors and (ii) a ratio of two polynomials. (b) Use...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2)...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2) = 1-0 8-1 R.O.C [z] > 0.8 (Hint: Use the z-transform and Partial Fraction Expansion to fill in the blanks.) The steady state unit-step response of the above filter is: Yuss [n] = — u[n]
5. Consider a CT system with transfer function This system is called an integrutor because t by h...
the subject is in digital signal processing
5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of...
(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of the filter, Y(z)= X(z)H(z), for the sequence (i 2* x(n)a. (Use the geometric series 1-c k 0 (ii By using partial fractions, determine the response of the filter, y(n), to the input x(п) %— а". (iii What is the response to the input data x(n) (1)"? [Note: the Z- transform of a sequence x(n) is defined as X(z) x(n)z. The n-0 inverse Z- transform...
Problem 3 Assume a system function of an LTI system is H(-) =(257-6 The input to...
Problem 3 Assume a system function of an LTI system is H(-) =(257-6 The input to the system x(n) = 3"u(n). Assuming y(n) and Y(z) are the Z-transform pair, and y(n) is the output of the above system: a) determine Y(z) assuming ROC of H(z) is z/>3 b) Determine y(n) by inverting Y(z) using the method of residuals (assuming ROC of H(z) is [z/>3) c) What is the ROC of a stable system given by H(z) ? d) What is...
7. A causal LTI system has a transfer function given by H (z) = -1 (1...
7. A causal LTI system has a transfer function given by H (z) = -1 (1 4 The input to the system is x[n] = (0.5)"u[n] + u[-n-1] ) Find the impulse response of the system b) Determine the difference equation that describes the system. c) Find the output y[n]. d) Is the system stable?
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of...
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
need asap 1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
Please show all the steps clearly.
5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2 0. Find the response of To such a system we apply an input of the type x [n] the system in n domain using MATLAB for obtaining the partial fraction expansion and then manually inverting the output using z-transform tables.
5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
Please do part C only, thank you.
Exercise 1 (Transfer Function Analysis) MATLAB provides numerous commands for working with polynomials, ratios of polynomials, partial fraction expansions and transfer functions: see, for example, the commands roots, poly, conv, residue, zpk and tf (a) Use MATLAB to gener ate the continuous-time transfer function H5+15)( +26(s+72) s(s +56)2(s2 +5s +30) H(s) displaying the result in two forms: as (i) the given ratio of factors and (ii) a ratio of two polynomials. (b) Use...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2) = 1-0 8-1 R.O.C [z] > 0.8 (Hint: Use the z-transform and Partial Fraction Expansion to fill in the blanks.) The steady state unit-step response of the above filter is: Yuss [n] = — u[n]
the subject is in digital signal processing
5. Consider a CT system with transfer function This system is called an integrutor because t by he d to the ingent t y)-x(r)dr. Discretize the above system using the bilinear transform. (a) What is the transfer function H'(:) of the resulting DT system b) If xin] is the input and yin] is the output of the resulting DT system, write the (c) Obtain an expression for the frequency response H'(o) of the...
(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of the filter, Y(z)= X(z)H(z), for the sequence (i 2* x(n)a. (Use the geometric series 1-c k 0 (ii By using partial fractions, determine the response of the filter, y(n), to the input x(п) %— а". (iii What is the response to the input data x(n) (1)"? [Note: the Z- transform of a sequence x(n) is defined as X(z) x(n)z. The n-0 inverse Z- transform...
Problem 3 Assume a system function of an LTI system is H(-) =(257-6 The input to the system x(n) = 3"u(n). Assuming y(n) and Y(z) are the Z-transform pair, and y(n) is the output of the above system: a) determine Y(z) assuming ROC of H(z) is z/>3 b) Determine y(n) by inverting Y(z) using the method of residuals (assuming ROC of H(z) is [z/>3) c) What is the ROC of a stable system given by H(z) ? d) What is...
7. A causal LTI system has a transfer function given by H (z) = -1 (1 4 The input to the system is x[n] = (0.5)"u[n] + u[-n-1] ) Find the impulse response of the system b) Determine the difference equation that describes the system. c) Find the output y[n]. d) Is the system stable?
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
need asap
1, (20 points) Suppose we have a İTİ system with impulse response(h(t) described as following h(t) 6u(t) where u(t) is unit step function. The output(Y (s)) is expressed as the product of input (R(s)) and transfer function Y(s) = R(s)H(s) The Laplace transform is defined as LTI system R(H) Y (s) Figure 1: LTI system in s-plane (a) (5 points) Find the tranisfer function(H(s)) of the LITI system. (b) (5 points) Find the Laplace transform of the input(r(t)....
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