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Problem 5 3 pts) Give the expression of the output vin] of the following system with the following 4-periodie input...
The following is known about a discrete-time LTI system with input rn] and output vin: (a)...
The following is known about a discrete-time LTI system with input rn] and output vin: (a) If x[n] = (-2)" for all n, then y[n] = 0 for all n. (b) If r/n] (1/2)"u[n] for all n, then y[n is of the form: where a is a constant (c) Determine the value of the constant a. (d) Determine the response vinl if the input lnl is n for all n.
The output of the system if not given assume output is initially z vin) 5x[n]-4x[n-1]+3x[n-2]-2x[n-3]+x[n-4] zero...
The output of the system if not given assume output is initially z vin) 5x[n]-4x[n-1]+3x[n-2]-2x[n-3]+x[n-4] zero to the input x[n) Stn]+ 5n-1] Hint: several methods for solving this : superposition, direct substitution, and convoultion O vin]=[5 1 1 11 1] O vini= 3-2 10] 4 o inl-10 5 4 3-2 1 O in1-(5 9 7531]
The output of the system if not given assume output is initially z vin) 5x[n]-4x[n-1]+3x[n-2]-2x[n-3]+x[n-4] zero to the input x[n) Stn]+ 5n-1] Hint: several methods...
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input...
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI system for-oo < nく00.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI...
Problem 3 (4 points) Determine the output signal of the system below, if the input signal...
Problem 3 (4 points) Determine the output signal of the system below, if the input signal is xn)5+3con + 600) y(n)
5. (30 pts) If the input to an LTI system is zinl (ulml, the output is...
5. (30 pts) If the input to an LTI system is zinl (ulml, the output is (a) (15 pts) Find the frequency response of the system, H(e). (b) (10 pts) Find the impulse response hln). (c) (5 pts) Use LCDE to represent the system.
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, det...
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, determine: a) The frequency o where the amplitude of the output will be at its maximum. b) The functional expression for how the output amplitude varies with the input frequency, o. c) The functional expression for how the phase of the output with respect to...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies...
Problem 1: 1st order system response to step input (5 pts) A thermocouple is exposed to...
Problem 1: 1st order system response to step input (5 pts) A thermocouple is exposed to a step change in temperature from 30°C to 90°C. The recorded thermocouple data is shown in the table below. Given that the response of a thermocouple follows the 1st-order system model. Find out the expression for the output temperature Temperature C 30.0 43.2 53.6 61.6 67.9 72.8 76.6 81.8 90.0 90.0 90.0 Time (S 0.5 2.5 4 10 20 30
Problem 1130 pts 1. [12 pts] For the circuit shown in Fig. 1, istance Rm when the switch is open. What type of voltage gain Vo/Vin and the input resistance Rin when the switch is close. What type of...
Problem 1130 pts 1. [12 pts] For the circuit shown in Fig. 1, istance Rm when the switch is open. What type of voltage gain Vo/Vin and the input resistance Rin when the switch is close. What type of a) Find the voltage gain val vin and the input resistance Rin when the switch is open b) Find the amplifier is this? amplifier is this? tin vo R Fig. 1 [18 pts] Design a circuit that implements the following: Vo(t)...
Find the input to output relation ( vout verse vin ) of the following using a...
Find the input to output relation ( vout verse vin ) of the
following using a non-ideal op amp
C1 C2
The following is known about a discrete-time LTI system with input rn] and output vin: (a) If x[n] = (-2)" for all n, then y[n] = 0 for all n. (b) If r/n] (1/2)"u[n] for all n, then y[n is of the form: where a is a constant (c) Determine the value of the constant a. (d) Determine the response vinl if the input lnl is n for all n.
The output of the system if not given assume output is initially z vin) 5x[n]-4x[n-1]+3x[n-2]-2x[n-3]+x[n-4] zero to the input x[n) Stn]+ 5n-1] Hint: several methods for solving this : superposition, direct substitution, and convoultion O vin]=[5 1 1 11 1] O vini= 3-2 10] 4 o inl-10 5 4 3-2 1 O in1-(5 9 7531]
The output of the system if not given assume output is initially z vin) 5x[n]-4x[n-1]+3x[n-2]-2x[n-3]+x[n-4] zero to the input x[n) Stn]+ 5n-1] Hint: several methods...
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI system for-oo < nく00.
Problem 9.5 (Superposition input) A linear time-invariant system has frequency response The input to the system is zin] = 5 + 20 cos(0.5mn + 0.25m) + 108[n-3]. Use superposition to determine the corresponding output vin] of the LTI...
Problem 3 (4 points) Determine the output signal of the system below, if the input signal is xn)5+3con + 600) y(n)
5. (30 pts) If the input to an LTI system is zinl (ulml, the output is (a) (15 pts) Find the frequency response of the system, H(e). (b) (10 pts) Find the impulse response hln). (c) (5 pts) Use LCDE to represent the system.
50 400 Problem 3: A system has the transfer function: G(s) -8s+24s +800 3+80 Assuming time for this system is expressed in seconds,if the system is subjected to a periodic input of 4 sin cot, determine: a) The frequency o where the amplitude of the output will be at its maximum. b) The functional expression for how the output amplitude varies with the input frequency, o. c) The functional expression for how the phase of the output with respect to...
Problem 3: A system has the transfer function: Gfs) -8 +24s+800 35+6 Assuming time for this system is expressed in seconds, if the system is subjected to a periodic input of 4 sin ot, determine a) The frequency o where the amplitude of the output will be at its maximum b) The functional expression for how the output amplitude varies with-the input frequency, c) The functional expression for how the phase of the output with respect to the input varies...
Problem 1: 1st order system response to step input (5 pts) A thermocouple is exposed to a step change in temperature from 30°C to 90°C. The recorded thermocouple data is shown in the table below. Given that the response of a thermocouple follows the 1st-order system model. Find out the expression for the output temperature Temperature C 30.0 43.2 53.6 61.6 67.9 72.8 76.6 81.8 90.0 90.0 90.0 Time (S 0.5 2.5 4 10 20 30
Problem 1130 pts 1. [12 pts] For the circuit shown in Fig. 1, istance Rm when the switch is open. What type of voltage gain Vo/Vin and the input resistance Rin when the switch is close. What type of a) Find the voltage gain val vin and the input resistance Rin when the switch is open b) Find the amplifier is this? amplifier is this? tin vo R Fig. 1 [18 pts] Design a circuit that implements the following: Vo(t)...
Find the input to output relation ( vout verse vin ) of the
following using a non-ideal op amp
C1 C2
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