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 = 1000 Hz)
4) In each case above, plot the ECG signal before and after filtering. Study the artifacts in the noisy signal and in the output of the filter in frequency domain.
5) Comment on the results.
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using Matlab:
1) Design an FIR notch filter using zero placement to remove
power-line noise at...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
matlab code as well please. 7. (100) Design a bandpass FIR filter with the following Spec:...
matlab code as well please.
7. (100) Design a bandpass FIR filter with the following Spec: (a) Lower cut off frequency: 1250Hz, (b) lower transition width: 1500Hz, (c) upper cutoff frequency: 2850 Hz, (d) upper transition width: 1300 Hz, (e) stop band attenuation: 60dB, (f) passband ripple 0.02 dB, and (g) sampling frequency: 8000Hz. Your answer needs to include (i) normalized frequencies, (ii) Window type, (iii) order of the filter and their numerical values computed by matlab command firwd(), and...
3. Design a bandpass FIR filter using Kaiser's formula for filter order, using Hamming window with...
3. Design a bandpass FIR filter using Kaiser's formula for filter order, using Hamming window with the following specifications: the lower passband and stopband edge frequencies are fpi- 700 Hz, fs1 - 300 Hz, the upper passband and stopband edge frequencies fp2 - 2 kHz fs2 - 2400 Hz, the sampling frequency fs-10 kHz, and 6p-0.03, ando0.004.
Consider an FIR lowpass filter design with the following specifications: Passband Stopband Passband ripple Stopband attenuation...
Consider an FIR lowpass filter design with the following
specifications:
Passband
Stopband
Passband ripple
Stopband attenuation
Sampling rate
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation
We were unable to transcribe this imageWe were unable to transcribe this image= 1200 4000H = 0.1dB We were unable to transcribe this imageWe were unable to transcribe this image
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of,...
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of, Wp = 2 rads' Passband ripple of 3dB Cut-off frequency is at mid-point of the transition band • Stopband attenuation of 20dB or greater beyond ws=2.5 rads! • Find the filter transfer function H(S)
2. Design a digital lowpass filter to meet the following specifications: passband edge = 0.45π stopband...
2. Design a digital lowpass filter to meet the following specifications: passband edge = 0.45π stopband edge = 0.5π Rp = 0.5 dB, As = 60 dB a. Design a Buttterworth filter, you may use the butterord and butter commands to implement. b. Design Chebyshev Type 1 filter ( use the equivalent commands to above ) c. Design an Elliptic fitler ( use the equivalent commands to part a ). d. List the order of each filter and find the...
Design lowpass IIR filter with the following specifications: Filter order = 2, Butterworth type C...
Design lowpass IIR filter with the following specifications: Filter order = 2, Butterworth type Cut-off frequency=800 Hz Sampling rate =8000 Hz Design using the bilinear z-transform design method Print the lowpass IIR filter coefficients and plot the frequency responses using MATLAB. MATLAB>>freqz(bLP,aLP,512,8000); axis([0 4000 –40 1]); Label and print your graph. What is the filter gain at the cut-off frequency 800 Hz? What are the filter gains for the stopband at 2000 Hz and the passband at 50 Hz based...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 S2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria. Part b) 10 pts Find the...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria Part b) 10 pts Find the...
ON MATLAB: ii. Using FIR low-pass filter, remove signal S2, considering fc = 20 Hz as a...
ON MATLAB: ii. Using FIR low-pass filter, remove signal S2, considering fc = 20 Hz as a cut-off frequency and consider two sets of filter coefficients: 11 and 301. Plot the time and frequency domain of the filtered signal, and comment. the process x(n) is sum of two signals S1 and S2; mathematically be described as: ?(?) = ?1 + ?2 where ?1 = ?1cos(2??1??? ) and ?2 = ?2cos(2??2??? ), A1 = A2 = 1; f1 = 10Hz; f2 =...
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
matlab code as well please.
7. (100) Design a bandpass FIR filter with the following Spec: (a) Lower cut off frequency: 1250Hz, (b) lower transition width: 1500Hz, (c) upper cutoff frequency: 2850 Hz, (d) upper transition width: 1300 Hz, (e) stop band attenuation: 60dB, (f) passband ripple 0.02 dB, and (g) sampling frequency: 8000Hz. Your answer needs to include (i) normalized frequencies, (ii) Window type, (iii) order of the filter and their numerical values computed by matlab command firwd(), and...
3. Design a bandpass FIR filter using Kaiser's formula for filter order, using Hamming window with the following specifications: the lower passband and stopband edge frequencies are fpi- 700 Hz, fs1 - 300 Hz, the upper passband and stopband edge frequencies fp2 - 2 kHz fs2 - 2400 Hz, the sampling frequency fs-10 kHz, and 6p-0.03, ando0.004.
Consider an FIR lowpass filter design with the following
specifications:
Passband
Stopband
Passband ripple
Stopband attenuation
Sampling rate
Determine the following:
a. window method
b. length of the FIR filter
c. cutoff frequency for the design equation
We were unable to transcribe this imageWe were unable to transcribe this image= 1200 4000H = 0.1dB We were unable to transcribe this imageWe were unable to transcribe this image
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of, Wp = 2 rads' Passband ripple of 3dB Cut-off frequency is at mid-point of the transition band • Stopband attenuation of 20dB or greater beyond ws=2.5 rads! • Find the filter transfer function H(S)
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 S2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria. Part b) 10 pts Find the...
Problem 1 (25 Pts) Design a low pass multistage Butterworth filter that simultaneously meets the following design requirements: 1. Minimum attenuation of 24 dB at 1000 Hz and 2. Minimum attenuation of 48 dB at frequency of 2000 Hz or higher. Consider equal source and load impedances at 50 2. Part a) 15 pts Solve for both the order of the Butterworth filter and the cut-off frequency required to meet the above design criteria Part b) 10 pts Find the...
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