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4. In order to process the recorded EEG signal, you need to design a filter system...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
Use MATLAB to: Design an Echo Filter. The output should be the original signal followed by...
Use MATLAB to: Design an Echo Filter. The output should be the original signal followed by three echoes with attenuations of 10%, 15 % and 25% respectively and the delays should be 0.9 sec, 1.4 sec, and 1.8 sec respectively for each echo. Hint: Based on this information the original signal appears at the output with the same amplitude, the first echo has amplitude 0.9 times the amplitude of the original (10% attenuation), the second echo has amplitude 0.85 (15%...
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 +...
Question Systems: Consider the following system for the questions below (indicate relevant transition points and peak...
Question Systems: Consider the following system for the questions below (indicate relevant transition points and peak values when drawing frequency domain representations). Note that X (jw) is the frequency domain representation of the input and both filters use a scaled version of the filter, H(jw). y(t) x(t)- H(w) H(jw) cos(2w.t) H(w) W(0) -Wo Wo X(jw) -2wo-WOW O 2w, a) Draw the frequency response of the output of the first signal path, Y. (jw) b) Draw the frequency response of the...
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog fil...
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog filter (10marks) Skecth the block diagram of transfer function (5 marks) Plot the magnitude response of the filters. (5marks)
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.
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...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1...
Using filterDesigner in MATLAB, design a second order low pass IIR Butterworth filter whose sampling frequency (Fs) is 1 kHz and cutoff frequency (Fc) is 10 Hz. Find the numerator and denominator coefficients. Write its transfer function H(z) = Y(z) / X(z). Write its difference function y(k). Draw (copy from Filter Designer) the magnitude response plot. Draw (copy from Filter Designer) the phase response plot. Draw (copy from Filter Designer) the impulse response plot.
QI (a) () Design an active filter using non-inverting amplifier that will produce a frequency response...
QI (a) () Design an active filter using non-inverting amplifier that will produce a frequency response as shown in Figure Ql(a). The bandwidth of the filter is 30 kHz. Use a capacitor value of 10 nF. (9 marks) Draw the circuit and clearly label it. (5 marks) (b) Derive the transfer function of the filter in Q1(b). (6 marks) Av (dB) 28 dB 25 dB - 20 dB/decade + 20 dB/decade - 1 1 35 kHz 40 kHz Figure Qi(a)...
Design a 5-tap FIR bandpass filter
Design a 5-tap FIR bandpass filter with a lower cutoff frequency of1,600 Hz, an upper cutoff frequency of 1,800 Hz, and a sampling rateof 8,000 Hz using a. rectangular window functionb. Hamming window function.Determine the transfer function and difference equation of the designedFIR system, and compute and plot the magnitude frequency responsefor Ω= 0, π/4, π/2, 3π/4, and π radians.PLEASE SHOW STEPS CLEARLY
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
Use MATLAB to: Design an Echo Filter. The output should be the original signal followed by three echoes with attenuations of 10%, 15 % and 25% respectively and the delays should be 0.9 sec, 1.4 sec, and 1.8 sec respectively for each echo. Hint: Based on this information the original signal appears at the output with the same amplitude, the first echo has amplitude 0.9 times the amplitude of the original (10% attenuation), the second echo has amplitude 0.85 (15%...
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 +...
Question Systems: Consider the following system for the questions below (indicate relevant transition points and peak values when drawing frequency domain representations). Note that X (jw) is the frequency domain representation of the input and both filters use a scaled version of the filter, H(jw). y(t) x(t)- H(w) H(jw) cos(2w.t) H(w) W(0) -Wo Wo X(jw) -2wo-WOW O 2w, a) Draw the frequency response of the output of the first signal path, Y. (jw) b) Draw the frequency response of the...
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog filter (10marks) Skecth the block diagram of transfer function (5 marks) Plot the magnitude response of the filters. (5marks)
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c...
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...
QI (a) () Design an active filter using non-inverting amplifier that will produce a frequency response as shown in Figure Ql(a). The bandwidth of the filter is 30 kHz. Use a capacitor value of 10 nF. (9 marks) Draw the circuit and clearly label it. (5 marks) (b) Derive the transfer function of the filter in Q1(b). (6 marks) Av (dB) 28 dB 25 dB - 20 dB/decade + 20 dB/decade - 1 1 35 kHz 40 kHz Figure Qi(a)...
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