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Q1(b). Given the following difference equation: y(n) + y(n-1) + 0.25y(n-2) = x(n)-0.4x(n-1). (1) Determine the...
1. A difference equation is shown below. y(n)- -0.25 y(n-1)+ 0.125 y(n-2)+ x(n)+x(n-1) (a) Find the...
1. A difference equation is shown below. y(n)- -0.25 y(n-1)+ 0.125 y(n-2)+ x(n)+x(n-1) (a) Find the transfer function H(z) = Y(z)/ X(z) (b) Find Y(z) ifx(n) = (0.4)nu(n) (n=0,1,2,3, ) (c) If x(n) = y(n)-0 for all n < 0, calculate the values of y(0), y(1) and y(2) directly from the difference equation.
Refer to the difference equation given below to answer the following questions: 2.15y(n) 1.31y(n+ y(n)-2.x(n-1) +2.42x(n)...
Refer to the difference equation given below to answer the following questions: 2.15y(n) 1.31y(n+ y(n)-2.x(n-1) +2.42x(n) (i) Using the basic building blocks, sketch the block diagram representation of this discrete-time system, where x(n) is the input and y(n) is the output of the system. (ii) Determine the system function and the unit sample response of the system
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using...
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using the Z-transform, determine the system's zero-input response for the initial value of y[0] 1/3. The solution directly in the time domain is not accepted
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to...
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system...
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all initial conditions are zero), y(n)-0.6y(n - 1+0.25y(n - 2) -x(n) +x(n- 1) a. find the impulse response sequence y(n) due to the impulse sequence o(n): b. find the output response of the system when the unit step function u(n is applied
1. Determine y(n) of the given LTI Difference equation y(n)=1.2 y(n-1) -0.32 y(n-2)+10x(n) +6x(n-1) a. x(n)...
1. Determine y(n) of the given LTI Difference equation y(n)=1.2 y(n-1) -0.32 y(n-2)+10x(n) +6x(n-1) a. x(n) = 0.4"u(n) b. x(n)= 8(n) (Impulse response) c. Draw the network structure in direct form I and II of the given LTI Difference equation
Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n...
Please be neat and show all work. thank you.
Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1. 0, and the initial conditions as u(n), determine n) and hence v n
Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1....
A discrete-time system has a difference equation given by y(n) = y(n-1) - 2y(n-2) + x(n) + 2x(n-1) + x(n-2)
A discrete-time system has a difference equation given by y(n) = y(n-1) - 2y(n-2) + x(n) + 2x(n-1) + x(n-2). (a) Find h(n) using iteration. (b) Find the system's z-transfer function H(z). (c) Assume x(n) = δ(n) - 2δ(n-1) + 3δ(n-2). Find y(3) using any method you like. (d) Is this system a FIR or IRR system? How can you tell?
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find...
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find h[n] b. Find Hz), and determine the roots c. Draw the pole-zero plot d. Based on the pole-zero plot, what kind of system is this? low pass, high pass, bandpass, or band reject e. If the signal x1 [n] = (21)" = e'" is the input, substitute this signal in the difference equation and find the output. (This should confirm your answer to d.)...
Consider a DT system with input x[n] and output y[n] described by the difference equation 4y[n+1]...
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
1. A difference equation is shown below. y(n)- -0.25 y(n-1)+ 0.125 y(n-2)+ x(n)+x(n-1) (a) Find the transfer function H(z) = Y(z)/ X(z) (b) Find Y(z) ifx(n) = (0.4)nu(n) (n=0,1,2,3, ) (c) If x(n) = y(n)-0 for all n < 0, calculate the values of y(0), y(1) and y(2) directly from the difference equation.
Refer to the difference equation given below to answer the following questions: 2.15y(n) 1.31y(n+ y(n)-2.x(n-1) +2.42x(n) (i) Using the basic building blocks, sketch the block diagram representation of this discrete-time system, where x(n) is the input and y(n) is the output of the system. (ii) Determine the system function and the unit sample response of the system
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using the Z-transform, determine the system's zero-input response for the initial value of y[0] 1/3. The solution directly in the time domain is not accepted
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all initial conditions are zero), y(n)-0.6y(n - 1+0.25y(n - 2) -x(n) +x(n- 1) a. find the impulse response sequence y(n) due to the impulse sequence o(n): b. find the output response of the system when the unit step function u(n is applied
1. Determine y(n) of the given LTI Difference equation y(n)=1.2 y(n-1) -0.32 y(n-2)+10x(n) +6x(n-1) a. x(n) = 0.4"u(n) b. x(n)= 8(n) (Impulse response) c. Draw the network structure in direct form I and II of the given LTI Difference equation
Please be neat and show all work. thank you.
Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1. 0, and the initial conditions as u(n), determine n) and hence v n
Given the difference equation, y(n) -y(n-2)-x(n);n 2 y(-1) 1, y(-2)0, and the input x(n) a) yh (n), p (n) and hence y (n) b) yzi (n), ½,( ) 1....
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find h[n] b. Find Hz), and determine the roots c. Draw the pole-zero plot d. Based on the pole-zero plot, what kind of system is this? low pass, high pass, bandpass, or band reject e. If the signal x1 [n] = (21)" = e'" is the input, substitute this signal in the difference equation and find the output. (This should confirm your answer to d.)...
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
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