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5. The diagram function Ha) oco.s on the let shows the pole-zero plot of the transfer...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If...
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If the dc gain is -10, find HG). (b) Compute the impulse response. (c) Compute the step response. CHECK: Your answer to (b) should be the derivative of your answer to (c), since the delta function is the derivative of the step function. (d) If the input is 10 ), find the pos- itive number a such that the response does not have a term...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha)...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha), of the systenm (ii) Sketch the Direct Form I and Direct Form II implementations of this system
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response...
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below....
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim y(t) = 5 , 00 Find H(s).
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below....
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im O--- Re (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim yết) = 5 , Find H(s). (d) (optional) Find y(2) (y(t) for t = 2).
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the tra...
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
For each of the transfer functions given below, draw the pole-zero plot and using the log- semilog paper provided on Blackboard to plot the magnitude separate from the phase as a function of frequenc...
For each of the transfer functions given below, draw the pole-zero plot and using the log- semilog paper provided on Blackboard to plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the outp...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
are integers and 91 and 92 are 5. Consider the system diagram show in Fig. 2...
are integers and 91 and 92 are 5. Consider the system diagram show in Fig. 2 for a digital filter. Assume N and M real-valued. (a) Use the diagram to write the difference equation that relates the input to the output. And use the difference equation to write the transfer function for the filter. No Matlab needed. (b) Assume N = 3, M = 5, 91 = 0.5 and 92 = 0.9. Write a Matlab function (call it "ece125filter”) that...
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
2. Consider the pole-zero plot of a transfer function H(s) given in Figure P14.2. (a) If the dc gain is -10, find HG). (b) Compute the impulse response. (c) Compute the step response. CHECK: Your answer to (b) should be the derivative of your answer to (c), since the delta function is the derivative of the step function. (d) If the input is 10 ), find the pos- itive number a such that the response does not have a term...
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response of the system i) Determine the transfer function Ha), of the systenm (ii) Sketch the Direct Form I and Direct Form II implementations of this system
The pole-zero diagram of a system is given below. The DC gain of the system is 15(1- Im(zI 1기 -0 0. (i) Sketch the approximate magnitude response...
5. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim y(t) = 5 , 00 Find H(s).
3. Consider an LTI system with transfer function H(s). Pole-zero plot of H(s) is shown below. Im O--- Re (a) How many ROCs can be considered for this system? (b) Assume system is causal. Find ROC of H(S) (c) Assume y(t) is system output with step unit as input. Given lim yết) = 5 , Find H(s). (d) (optional) Find y(2) (y(t) for t = 2).
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
For each of the transfer functions given below, draw the pole-zero plot and plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done is correct. The work that will count for points...
For each of the transfer functions given below, draw the pole-zero plot and using the log- semilog paper provided on Blackboard to plot the magnitude separate from the phase as a function of frequency. Show only the asymptotic terms that make up the transfer function and then add them to show the composite plot. You can verify your plots (to some extent) by using MATLAB to generate the plots but only as a check that the work you have done...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
are integers and 91 and 92 are 5. Consider the system diagram show in Fig. 2 for a digital filter. Assume N and M real-valued. (a) Use the diagram to write the difference equation that relates the input to the output. And use the difference equation to write the transfer function for the filter. No Matlab needed. (b) Assume N = 3, M = 5, 91 = 0.5 and 92 = 0.9. Write a Matlab function (call it "ece125filter”) that...
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