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(2) A filter H) has the magnitude (on the left graph) and phase (on the right...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the respo...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response, y(t) = 4cos(int) + 0.5sin(10nt) + 2cos(14πt) +4cos(24π) to the input r(t) 1 cos(Tt) - cos(6Tt) cos(10rt) 4sin(14rt) sin(20rt) - sin (24Tt). Please note there are many solutions to this problem, you must justify your answer. What type of filter did you design? 1
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response,...
10. An input signal x(t) is processed by a filter with an amplitude | H(f) |...
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...
A continuous time system H has the frequency response H(jω) = 4π / (4π + jω)...
A continuous time system H has the frequency response H(jω) = 4π / (4π + jω) . a) Find and plot the magnitude as a function of radial frequency. b) Find and plot the phase as a function of radial frequency. c) Using H(jω), find the output y(t) for the input x(t) = 4cos(4πt) + 4cos(12πt)
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequenc...
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequency response function H(ju) Ve-ju) / Vm(ju) and sketch the magnitude and phase characteristics versus w by calaulation. Calculate the theoretical cutoff frequency of the filter Using PSpice AC analysis, plot magnitude lHju)l and phase ф characteristics of the filter, between 1 Hz-100 KHz b) c)
5) Consider the following second-order bandpass...
6. (15 marks total) This question relates the the cascade filter shown below. 5S2 in out 562 10mH...
6. (15 marks total) This question relates the the cascade filter shown below. 5S2 in out 562 10mH V1 4uF (a) Find the frequency response, Hi(w), if the input to the system is Vin and the output is (b) Find the frequency response, H2(), if the input to the system is Vin and the output is (c) Draw a Bode plot that represents the magnitude of the frequency response H2(w) V1 out (d) If Vin-5 cos(wit) + 4 cos(w2t), where...
Explain please 2. Assume that the waveform shown at 100 90 the left represents the natural response of particular filter...
Explain please
2. Assume that the waveform shown at 100 90 the left represents the natural response of particular filter. For this waveform a) Determine the expression for the voltage, v(t). Your answer should have 80 a 70 60 50 40 30 the form v(t)Ve sin (wt). -at 20 10 b) Determine the resonant frequency, a. 0- -10 c) Plot the pole-zero diagram d) Determine the Q of this system. Does your answer agree with the length of the transient...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
BPF Filter Bandpass Filter The following circuit acts as a C This filter has a center...
BPF Filter Bandpass Filter The following circuit acts as a C This filter has a center (resonance) frequency at Hz. 27-VLC and a 3-dB bandwidth of BW = Hz. 2RC 3l f, and a passband for which the signal is This means that the filter has 0 dB gain at attenuated less than 3 dB centered approximately at f, from f,-BW2 to f.+BW/2 (this passband is not exactly centered at f, but its total width is BW) 3l8 Input Signal...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response, y(t) = 4cos(int) + 0.5sin(10nt) + 2cos(14πt) +4cos(24π) to the input r(t) 1 cos(Tt) - cos(6Tt) cos(10rt) 4sin(14rt) sin(20rt) - sin (24Tt). Please note there are many solutions to this problem, you must justify your answer. What type of filter did you design? 1
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response,...
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequency response function H(ju) Ve-ju) / Vm(ju) and sketch the magnitude and phase characteristics versus w by calaulation. Calculate the theoretical cutoff frequency of the filter Using PSpice AC analysis, plot magnitude lHju)l and phase ф characteristics of the filter, between 1 Hz-100 KHz b) c)
5) Consider the following second-order bandpass...
6. (15 marks total) This question relates the the cascade filter shown below. 5S2 in out 562 10mH V1 4uF (a) Find the frequency response, Hi(w), if the input to the system is Vin and the output is (b) Find the frequency response, H2(), if the input to the system is Vin and the output is (c) Draw a Bode plot that represents the magnitude of the frequency response H2(w) V1 out (d) If Vin-5 cos(wit) + 4 cos(w2t), where...
Explain please
2. Assume that the waveform shown at 100 90 the left represents the natural response of particular filter. For this waveform a) Determine the expression for the voltage, v(t). Your answer should have 80 a 70 60 50 40 30 the form v(t)Ve sin (wt). -at 20 10 b) Determine the resonant frequency, a. 0- -10 c) Plot the pole-zero diagram d) Determine the Q of this system. Does your answer agree with the length of the transient...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
BPF Filter Bandpass Filter The following circuit acts as a C This filter has a center (resonance) frequency at Hz. 27-VLC and a 3-dB bandwidth of BW = Hz. 2RC 3l f, and a passband for which the signal is This means that the filter has 0 dB gain at attenuated less than 3 dB centered approximately at f, from f,-BW2 to f.+BW/2 (this passband is not exactly centered at f, but its total width is BW) 3l8 Input Signal...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
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