Draw the circuit diagram and derive the frequency transfer function for the first-order passive RL low-pass...
- Draw the circuit diagram and derive the frequency transfer function for the first-order passive RL low-pass filter (voltages as input and output). If this filter has a time constant of 2s and the input voltage signal is cos(πt) + sin(3πt) in the time domain, find the output signal in the time domain.
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Draw the circuit diagram and derive the frequency transfer
function for the first-order passive RL low-pass...
Learning Goal: To analyze and design a passive, first-order low-pass filter using a series RL circuit....
Learning Goal: To analyze and design a passive, first-order low-pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a low-pass...
Learning Goal: To analyze and design a passive, first-order low- pass filter using a series RL...
Learning Goal: To analyze and design a passive, first-order low- pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a...
Please answer all parts thank you 6. [15 POINTS] Consider a passive low-pass filter as shown...
Please answer all parts thank
you
6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
RC Circuit Design a passive, low-pass filter with corner frequency around 400 Hz and input impedance...
RC Circuit
Design a passive, low-pass filter with corner frequency around 400 Hz and input impedance of at least 1k2. Ģive the component values and compute the magnitude of the output impedance at 100 Hz.
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of...
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band P...
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...
1. Derive the transfer function for the low pass filter shown in Figure 1. The general...
1. Derive the transfer function for the low pass filter shown in Figure 1. The general form is: H(s) w? W. s2 + +w? 2. Determine the component values by equating the derived transfer function to the general transfer function to meet the following specifications: a) fc = 2 kHz, and Q = 0.7071 for a Butterworth response. HH Vi R R C2 HHI Figure 1. Low-Pass Filter
Digital Signal Processing QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Der...
Digital Signal Processing
QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Derive an expression for the output sequence yin], in terms of the input b) sequence, xla], and delayed input and output sequences 10 151 e) Find the unit sample response for the filter (first three terms only)
QUESTION SIX A digital filter system has a transfer...
C V. Figure 2 A band-pass filter circuit This is the transfer function of a band-pass...
C V. Figure 2 A band-pass filter circuit This is the transfer function of a band-pass filter having R = R2 //R Center frequency, a[ 1/R' R C12 radians Bandwidth B2(R, C) radians Maximum Gain Ag- R/2R Band-Pass Filter Design Design a band-pass filter to obtain f-160 Hz, B-16 Hz and o- 10. Supply voltages of +20 and -20 Volts are available. Laboratory Measurements and Results . By applying sinusoidal voltage at the input and by varying its frequency, obtain...
2)Passive Filter: High Pass Filter Lab Experiment 3) Given the following RLC series circuit. V, =...
2)Passive Filter: High Pass Filter Lab Experiment 3) Given the following RLC series circuit. V, = 10 Vrm L 0º and frequency f= 90 KHz. The circuit elements values are: R = 5 KO, L= 10 mH and C = 470 pF. a) Calculate total impedance Z, in polar form. b) Calculate total current I, in polar form. c) Calculate the voltages across R, C and L, (VR, Vc, and V.). d) Draw voltage phasor diagram Vs, VR, Vc, and...
Learning Goal: To analyze and design a passive, first-order low-pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a low-pass...
Learning Goal: To analyze and design a passive, first-order low- pass filter using a series RL circuit. The analysis and design will be repeated for a series RC circuit. An electrocardiogram needs to detect periodic signals of approximately 1 Hz (since the resting heart rate of a healthy adult is between 55 and 70 beats per minute). The instrument operates in an electrical environment that is very noisy with a frequency of 60 Hz. It is desirable to have a...
Please answer all parts thank
you
6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
RC Circuit
Design a passive, low-pass filter with corner frequency around 400 Hz and input impedance of at least 1k2. Ģive the component values and compute the magnitude of the output impedance at 100 Hz.
Determine the transfer function for a 2nd order Chebyshev low pass filter with 3dB frequency of 100krad/sec, a maximum gain of OdB, and a passband ripple of 1dB. (40 points) (a) (b) A bandpass filter is made by cascading the filter described in part (a) with a 2nd order Chebyshev high pass filter with 3dB frequency of 1krad/sec, a maximum gain of OdB and passband ripple of 2dB. Determine the midband gain of the filter. (30 points) A Chebyshev bandpass...
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...
1. Derive the transfer function for the low pass filter shown in Figure 1. The general form is: H(s) w? W. s2 + +w? 2. Determine the component values by equating the derived transfer function to the general transfer function to meet the following specifications: a) fc = 2 kHz, and Q = 0.7071 for a Butterworth response. HH Vi R R C2 HHI Figure 1. Low-Pass Filter
Digital Signal Processing
QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Derive an expression for the output sequence yin], in terms of the input b) sequence, xla], and delayed input and output sequences 10 151 e) Find the unit sample response for the filter (first three terms only)
QUESTION SIX A digital filter system has a transfer...
C V. Figure 2 A band-pass filter circuit This is the transfer function of a band-pass filter having R = R2 //R Center frequency, a[ 1/R' R C12 radians Bandwidth B2(R, C) radians Maximum Gain Ag- R/2R Band-Pass Filter Design Design a band-pass filter to obtain f-160 Hz, B-16 Hz and o- 10. Supply voltages of +20 and -20 Volts are available. Laboratory Measurements and Results . By applying sinusoidal voltage at the input and by varying its frequency, obtain...
2)Passive Filter: High Pass Filter Lab Experiment 3) Given the following RLC series circuit. V, = 10 Vrm L 0º and frequency f= 90 KHz. The circuit elements values are: R = 5 KO, L= 10 mH and C = 470 pF. a) Calculate total impedance Z, in polar form. b) Calculate total current I, in polar form. c) Calculate the voltages across R, C and L, (VR, Vc, and V.). d) Draw voltage phasor diagram Vs, VR, Vc, and...
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