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Using R-1 10?.L 1 H. and C-0.001 F. mathematically calculate (manual calculations) the voltage gain transfer...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Co...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Compute values for R and L to yield a bandpass filter with a center frequency of 5kHz and a bandwidth of 200Hz, using a 10nF capacitor. (25 points)
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies...
Please answer all questions Calculations 1. Derive the transfer functions for the circuits shown in Figs....
Please answer all questions
Calculations 1. Derive the transfer functions for the circuits shown in Figs. 1(a), 1(b) and 1(c): VBP VHP (s) Vi НВР(s) — VLP(S) (S) Ннp(s) — Vi HLP(s) Vi Re C4 C2 VBP R2 R1 VHP VLP R. R4 R3 C2 C1 V (c) (b) (a) Figure 1: Second order (a) lowpass filter (b) highpass filter (c) bandpass filter (1) P(s) H(s)Q(s) Express the transfer functions as that negative powers of s are not allowed in...
4. In the circuit shown, R - 500 ohm, L -0.64 H, C - 1u F, 1- -1 A, Vcap (o) -40 v, indur (o ) - ...
4. In the circuit shown, R - 500 ohm, L -0.64 H, C - 1u F, 1- -1 A, Vcap (o) -40 v, indur (o ) - 0.5 A. Find a. IR (o) b. Derive a differential equation for current Derive an expression for the v(t) c. C 3
4. In the circuit shown, R - 500 ohm, L -0.64 H, C - 1u F, 1- -1 A, Vcap (o) -40 v, indur (o ) - 0.5 A. Find a....
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3...
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3 (a) Sketch v'(t) and derive the Fourier coefficients for '(t). (b) Use your results from part (a) to determine for Fourier coefficients for v(t). Express your solution in the complex form of the Fourier series, nugt and verify your solution by plotting your results using Matlab. 2. Assume that the signal above is the input to the bandpass filter shown below. y (t (a)...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpress...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpression for the ow c) Using circuit analysis, derive an epssio o te lorw-froquency gain a, Aun (5 pts (d) Using the transfer fatile fundi.~ส6aa.deme an epression fr the hi froguency gain, (5p) e) Using cecuit analysis, derive an expssion o te high-frogency ga,A (5 pts) Expeess A (s) in the following o Find an exprossion for Aan ande (30pes For parig,through h@aunetha...
a. b. c. d. An IIR filter has the difference equation: y'n Select the correct transfer function for this system...
a.
b.
c.
d.
An IIR filter has the difference equation: y'n Select the correct transfer function for this system from the selections below. 2+1.2 No transfer function exists for this system. H(0.5+1.2Y(2)21 2+0.5 H(2)220.5z +1.2 An IIR filter has the transfer function: H(z) 22 +0.92-0.14 Select the correct impulse response for this system from the selections below hn 2(0.2)n-1un - 1] - 2(0.7)n-uln - 1 -hin] = 2(-0.2)"u[n]-2(-0.7)"u[n] hin] = 2(-0.2)"-iuln-11-2(-0.7)"-1 u[n-1] No impulse response exists for this system....
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of...
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
(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...
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H....
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
The values of Resistor and Capacitor is shown as below R(2) 100000 C(F) 1.5432 10-6 e.1 (5pts) Pl...
High pass digital filter
The values of Resistor and Capacitor is shown as below R(2) 100000 C(F) 1.5432 10-6 e.1 (5pts) Please derive the Laplace transfrom equation V, (s) Vi(s) e.2(5pts) Please use bilinear transform equation to transform Laplace transform to 一? z-transform. Bilinear transform equation is shown as below: = T (1+2-1) Your result will be (2) =? Vi(z) e.3(10pts) Please use inverse z-transform to find the difference equation. Your result will be look like as below, you will...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Compute values for R and L to yield a bandpass filter with a center frequency of 5kHz and a bandwidth of 200Hz, using a 10nF capacitor. (25 points)
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies...
Please answer all questions
Calculations 1. Derive the transfer functions for the circuits shown in Figs. 1(a), 1(b) and 1(c): VBP VHP (s) Vi НВР(s) — VLP(S) (S) Ннp(s) — Vi HLP(s) Vi Re C4 C2 VBP R2 R1 VHP VLP R. R4 R3 C2 C1 V (c) (b) (a) Figure 1: Second order (a) lowpass filter (b) highpass filter (c) bandpass filter (1) P(s) H(s)Q(s) Express the transfer functions as that negative powers of s are not allowed in...
4. In the circuit shown, R - 500 ohm, L -0.64 H, C - 1u F, 1- -1 A, Vcap (o) -40 v, indur (o ) - 0.5 A. Find a. IR (o) b. Derive a differential equation for current Derive an expression for the v(t) c. C 3
4. In the circuit shown, R - 500 ohm, L -0.64 H, C - 1u F, 1- -1 A, Vcap (o) -40 v, indur (o ) - 0.5 A. Find a....
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3 (a) Sketch v'(t) and derive the Fourier coefficients for '(t). (b) Use your results from part (a) to determine for Fourier coefficients for v(t). Express your solution in the complex form of the Fourier series, nugt and verify your solution by plotting your results using Matlab. 2. Assume that the signal above is the input to the bandpass filter shown below. y (t (a)...
L Consider the circuit shown below by Using the traar fanction found in pat (ak derive an cxpression for the ow c) Using circuit analysis, derive an epssio o te lorw-froquency gain a, Aun (5 pts (d) Using the transfer fatile fundi.~ส6aa.deme an epression fr the hi froguency gain, (5p) e) Using cecuit analysis, derive an expssion o te high-frogency ga,A (5 pts) Expeess A (s) in the following o Find an exprossion for Aan ande (30pes For parig,through h@aunetha...
a.
b.
c.
d.
An IIR filter has the difference equation: y'n Select the correct transfer function for this system from the selections below. 2+1.2 No transfer function exists for this system. H(0.5+1.2Y(2)21 2+0.5 H(2)220.5z +1.2 An IIR filter has the transfer function: H(z) 22 +0.92-0.14 Select the correct impulse response for this system from the selections below hn 2(0.2)n-1un - 1] - 2(0.7)n-uln - 1 -hin] = 2(-0.2)"u[n]-2(-0.7)"u[n] hin] = 2(-0.2)"-iuln-11-2(-0.7)"-1 u[n-1] No impulse response exists for this system....
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
(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...
0.55 +0.5 102 S Problem 4.4 In Fig. 4.4, R=0.2 M2, C=25 pF and L=0.04 H. Show that the transfer function H(s) is: 1 (5) H(S)= (5) + +1 L102 107 (a) Plot the pole-zero diagram of H(s). (b) What filter is given by H(s)? Why? (e) Determine the resonant frequency 0o, the quality factor Q, the cut-off frequencies 01 and 02 and the bandwidth B. i (0) it) R Fig. 4.4
High pass digital filter
The values of Resistor and Capacitor is shown as below R(2) 100000 C(F) 1.5432 10-6 e.1 (5pts) Please derive the Laplace transfrom equation V, (s) Vi(s) e.2(5pts) Please use bilinear transform equation to transform Laplace transform to 一? z-transform. Bilinear transform equation is shown as below: = T (1+2-1) Your result will be (2) =? Vi(z) e.3(10pts) Please use inverse z-transform to find the difference equation. Your result will be look like as below, you will...
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