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An analog notch filter is defined below where Ω° is the frequency to be removed, and...
1.(10pts) A first-order highpass filter whose transfer function is represented in Laplace transforms as H HPS) -, where Ωο(cut-off frequency) is 1000 rad/sec. Convert this analog filter into a digita...
1.(10pts) A first-order highpass filter whose transfer function is represented in Laplace transforms as H HPS) -, where Ωο(cut-off frequency) is 1000 rad/sec. Convert this analog filter into a digital filter with bilinear-transformation assuming sampling rate is 2500Hz and then determine its input-output relation. In your answer, you will need to provide (i) HHP) and ii) filter's input-output relation. You can find the formula of bilinear transformation in either lecture notes (Lec 14) or textbook pp.494
1.(10pts) A first-order highpass...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Sho...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
Design an RLC Notch filter (circuit on slide 9) that will have a quality factor Q-20...
Design an RLC Notch filter (circuit on slide 9) that will have a quality factor Q-20 (very selective filter), and will reject the 60 Hz frequency. Select C= 100 uF. b) Calculate fci, fcz, and BW
Design a second order IIR Butterworth low pass digital filter with a cutoff frequency of 500...
Design a second order IIR Butterworth low pass digital filter with a cutoff frequency of 500 Hz and a sampling frequency of 10,000 Hz using bilinear transformation then find the following: The output (response) due to the following inputs: Sinusoidal signal with a frequency of 100Hz. Sinusoidal signal with a frequency of 500Hz. Sinusoidal signal with a frequency of 2000Hz. Repeat (a) above for a 6thorder Butterworth filter
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the...
An analog signal, bandlimited to 10 Hz is corrupted by high-frequency noise. The spectrum of the noise is from 30 Hz to 50 Hz. The noisy analog signal is sampled at 70 Hz. A digital lowpass filter is to be designed so as to remove the noise from the signal. For the filter design problem, what would you choose for the desired frequency response D(?)? Sketch the function for 0 ? ? ? ? where ? is normalized frequency (radians/sample)....
using Matlab: 1) Design an FIR notch filter using zero placement to remove power-line noise at...
using Matlab: 1) Design an FIR notch filter using zero placement to remove power-line noise at 60 Hz (use file ecg_60hz_200, fs = 200 Hz). 2) Design a LP Butterworth filter with cut-off frequency of 40 Hz to remove high-frequency noise (use file ecg_hfn.dat, fs = 1000 Hz). 3) Design an Elliptic HP filter with passband ripple of 0.01 dB and stopband attenuation of 50 dB and cut-off frequency of 0.5 Hz to remove low-frequency noise (use file ecg_lfn.dat, fs...
answer fast 2- Design an RLC Band Reject filter with a lower cutoff frequency of 2...
answer fast
2- Design an RLC Band Reject filter with a lower cutoff frequency of 2 kHz and an upper cutoff frequency of 2.1 kHz. Consider a capacitor C = 3.7nF and calculate L, C, and Q. a) Give the Transfer function of this filter. b) Find the central frequency f., the bandwidth (BW) in Hz, and the quality factor (Q). c) Sketch the frequency response of this filter only magnitude.
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...
I need help with number 2 . Please answer in MATLAB thank you! 1. In the lab we analyzed filtering 60 Hz power-line noi...
I need help with number 2 . Please answer in MATLAB thank
you!
1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter approach to remove the 60 Hz line-noise. Following is an active twin-T notch filter with transfer function: (1+m)((2joRC? +1 Z(a) 2R 2R Here m is the ratio of the two feedback 2C R resistance which determines the gain and...
(MATLAB question) "ecg_signal.mat" converted to a .csv file yields the following data; This is only part of th...
(MATLAB question) "ecg_signal.mat" converted to a .csv file yields the following data; This is only part of the whole .mat file. Please show how to analyze the whole signal from this snapshot. 1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter approach to remove the 60 Hz line-noise. Following is an active twin-T notch filter with transfer function: 2R 2R Here...
1.(10pts) A first-order highpass filter whose transfer function is represented in Laplace transforms as H HPS) -, where Ωο(cut-off frequency) is 1000 rad/sec. Convert this analog filter into a digital filter with bilinear-transformation assuming sampling rate is 2500Hz and then determine its input-output relation. In your answer, you will need to provide (i) HHP) and ii) filter's input-output relation. You can find the formula of bilinear transformation in either lecture notes (Lec 14) or textbook pp.494
1.(10pts) A first-order highpass...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
Design an RLC Notch filter (circuit on slide 9) that will have a quality factor Q-20 (very selective filter), and will reject the 60 Hz frequency. Select C= 100 uF. b) Calculate fci, fcz, and BW
answer fast
2- Design an RLC Band Reject filter with a lower cutoff frequency of 2 kHz and an upper cutoff frequency of 2.1 kHz. Consider a capacitor C = 3.7nF and calculate L, C, and Q. a) Give the Transfer function of this filter. b) Find the central frequency f., the bandwidth (BW) in Hz, and the quality factor (Q). c) Sketch the frequency response of this filter only magnitude.
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...
I need help with number 2 . Please answer in MATLAB thank
you!
1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter approach to remove the 60 Hz line-noise. Following is an active twin-T notch filter with transfer function: (1+m)((2joRC? +1 Z(a) 2R 2R Here m is the ratio of the two feedback 2C R resistance which determines the gain and...
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