with h1(n)=(2)nu(n),h2(n) istheimpulseresponseof y(n)+3y(n−1)=w(n), and x(n)=(4)nu(n). (a) Determine h 2 ( n ) and the overall...
with h1(n)=(2)nu(n),h2(n) istheimpulseresponseof
y(n)+3y(n−1)=w(n),
and x(n)=(4)nu(n).
(a) Determine h 2 ( n ) and the overall impulse response h ( n )
(b) Determine w(n)
(c) Determine y(n)
(d) Determine the difference equation of the overall system
Homework Answers
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with h1(n)=(2)nu(n),h2(n) istheimpulseresponseof
y(n)+3y(n−1)=w(n),
and x(n)=(4)nu(n).
(a) Determine h 2 ( n ) and the overall...
H1(2) y[n] Xn] 1 H3(2) H2(2) Figure 2: Consider the system shown in Figure 2. Suppose...
H1(2) y[n] Xn] 1 H3(2) H2(2) Figure 2: Consider the system shown in Figure 2. Suppose that Hi(z) = -1,-1 and H2(z) = 1-1,-1. Determine the impulse response h3[n] ++ H3(z) such that when x[n] = 8[n – 1], the output is y[n] = $[n – 1] +38[n – 3]. Using MATLAB, generate the signal x[n] and propagate it through the system to verify that the output y[n] is as desired.
h[n] x[n] nlin] h3[n] > ym y[n] h2[n] - - - - - - - -...
h[n] x[n] nlin] h3[n] > ym y[n] h2[n] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - →YN] xfn] — Mn] Figure 2-33 Problem 2-20 Given the system shown in Figure 2-33, with h[n]= a[n]+N[n-1] h,[n]= b[n-1]-s[n-2] h,["]= [n+1]-s[n-1] a) Find the equivalent impulse response of the system, h[n]....
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n}...
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n} + 14 (-1)" (5 points) (a) Determine the system function H(z) of the system. Plot the poles and zeros of H(a), and determine the ROC (b) Determine the impulse response of the system, An (e) Write the difference equation, y/n), as a funetion of past outputs, the present input, and past inputs
5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With...
for a discrete system, answer the following
5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With the initial condition y(-1) - 0 and y(-2) 3 Identify the natural and forced response of the system. 6- Find the total response for: y(n 2) + 3y(n + 1) + 2y(n)- x(n + 2) +3x(n +1) + 3x(n) With the initial condition y(-1) -1 and y(-2) 2 Identify the natural and forced response...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n)...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Determine the difference equation relating the input (x[n]) and outpt (y[n])
(a) Determine the difference equation relating the input (x[n]) and outpt (y[n]) for an LTI system whose impulse response is given by: h(n) = (1/4){δ(n) + δ(n - 1) (b) Find and plot the amplitude and phase response of the above LTI system. Indicate what kind of filter this system represents.
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
3. Consider the following system LTI LTI System 2 h2ln] System 1 x [n] hiln) wIn]...
3. Consider the following system LTI LTI System 2 h2ln] System 1 x [n] hiln) wIn] yIn] with h(n) (0.2)" un),h(n) is the impulse response of 2y(n)-4y(n-1) 2w(n), and x(n) (0.6"u(n). (a) Determine h2(n) (b) Determine the overall impulse response hn) (c) Determine w(n) e Demine e gu x n ) (a) velw mine hrCn) (b) Peke a jin
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation 3y[n] – 7y[n – 1] + 2y[n – 2] = 3x[n] – 3x[n – 1] (2.1) The fact that sequences x[ ] and y[ ] are in input-output relation and satisfy (2.1) does not yet determine which LTI system. a) We assume each possible input sequence to this system has its Z-transform and that the impulse response of this system also has its Z-transform. Express the...
H1(2) y[n] Xn] 1 H3(2) H2(2) Figure 2: Consider the system shown in Figure 2. Suppose that Hi(z) = -1,-1 and H2(z) = 1-1,-1. Determine the impulse response h3[n] ++ H3(z) such that when x[n] = 8[n – 1], the output is y[n] = $[n – 1] +38[n – 3]. Using MATLAB, generate the signal x[n] and propagate it through the system to verify that the output y[n] is as desired.
h[n] x[n] nlin] h3[n] > ym y[n] h2[n] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - →YN] xfn] — Mn] Figure 2-33 Problem 2-20 Given the system shown in Figure 2-33, with h[n]= a[n]+N[n-1] h,[n]= b[n-1]-s[n-2] h,["]= [n+1]-s[n-1] a) Find the equivalent impulse response of the system, h[n]....
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n} + 14 (-1)" (5 points) (a) Determine the system function H(z) of the system. Plot the poles and zeros of H(a), and determine the ROC (b) Determine the impulse response of the system, An (e) Write the difference equation, y/n), as a funetion of past outputs, the present input, and past inputs
for a discrete system, answer the following
5- Find the total response for: y(n 2) +13y(n +1) + 22y(n)-x(n + 1) + 5x(n) x(n)- (0.2)nu(n) With the initial condition y(-1) - 0 and y(-2) 3 Identify the natural and forced response of the system. 6- Find the total response for: y(n 2) + 3y(n + 1) + 2y(n)- x(n + 2) +3x(n +1) + 3x(n) With the initial condition y(-1) -1 and y(-2) 2 Identify the natural and forced response...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
3. Consider the following system LTI LTI System 2 h2ln] System 1 x [n] hiln) wIn] yIn] with h(n) (0.2)" un),h(n) is the impulse response of 2y(n)-4y(n-1) 2w(n), and x(n) (0.6"u(n). (a) Determine h2(n) (b) Determine the overall impulse response hn) (c) Determine w(n) e Demine e gu x n ) (a) velw mine hrCn) (b) Peke a jin
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