The figure shows the amplitude spectrum and the phase spectrum of a bandpass filter.
Considering 
a. Determine the transfer function
b. Find the unit impulse response
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The figure shows the amplitude spectrum and the phase spectrum
of a bandpass filter.
Considering
a....
Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer func...
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Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks)
Question 3 a)...
3.2 Simple Bandpass Filter Design The L-point averaging filter is a lowpass filter. Its passband width...
3.2 Simple Bandpass Filter Design The L-point averaging filter is a lowpass filter. Its passband width is controlled by L, being inversely proportional to L. In fact, you can use the GUI altidemo to view the frequency response for different averagers and measure the passband widths. It is also possible to create a filter whose passband is centered around some frequency other than zero. One simple way to do this is to define the impulse response of an L-point FIR...
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter whose fr...
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter whose frequency response is shown below Hints: Consider Hf)- H(f) 6f -fc) +(f+fo). . Convolution in one domain is ·To sketch, use fc = 2 Hz and W = 0.5 Hz. in the other domain. H(f) Ic -w fc c +w Figure 1: Ideal bandpass filter frequency response for Problem
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase of the frequency response. Make sure the frequency range is wide enough to show enough details. Assume R1 = R2 = 1k1, C1 = 7.5nF, and C2 = 2.5uF.
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...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...
5. Consider the digital filter in Figure 3. (a) Assuming all delay units are cleared, find the transfer function for the filter (b) Write the difference equation for the filter. (c) Find the i...
5. Consider the digital filter in Figure 3. (a) Assuming all delay units are cleared, find the transfer function for the filter (b) Write the difference equation for the filter. (c) Find the impulse response for this filter. (d) Now assume that delay unit 1 (D1) initially has a value 1 stored and the other delay units are cleared. Find 2 D3 4 D2 2 DS Figure 3: Question 5
5. Consider the digital filter in Figure 3. (a) Assuming...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
Problem 17. Consider the standard amplitude-modulation system shown in Figure 3 Figure 3 x) Chann...
Analysis Linear Systems
Problem 17. Consider the standard amplitude-modulation system shown in Figure 3 Figure 3 x) Channel Filter he(r) cos wor cos ωοι M(w) H(u) (a) Sketch the spectrum of r(t). (b) Sketch the spectrum of y(t) for the following cases: (i) 0S WcWo-m (iii) wc >wowm (c) Sketch the spectrum of z(t) for the following cases: (i) 0 S WcWo-m (iii) wc >wowm d) Sketch the spectrum of v(t) if we wowm and (i) w
Consider the following transfer function of a bandpass filter: 20 1,500 T(S) = 2 1,500 +...
Consider the following transfer function of a bandpass filter: 20 1,500 T(S) = 2 1,500 + 1)(30.000 +1) a) Draw the Bode plot (magnitude and phase) of T(s). Label the slopes (dB/decade) b) Name the filter type. c) Determine the resonant frequency o d) Determine the gain in dB at the resonant frequency e) Determine bandwidth B, and the quality factor of the filter. Magnitude (dB) Phase (Deg)
Thanks
Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks)
Question 3 a)...
3.2 Simple Bandpass Filter Design The L-point averaging filter is a lowpass filter. Its passband width is controlled by L, being inversely proportional to L. In fact, you can use the GUI altidemo to view the frequency response for different averagers and measure the passband widths. It is also possible to create a filter whose passband is centered around some frequency other than zero. One simple way to do this is to define the impulse response of an L-point FIR...
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter whose frequency response is shown below Hints: Consider Hf)- H(f) 6f -fc) +(f+fo). . Convolution in one domain is ·To sketch, use fc = 2 Hz and W = 0.5 Hz. in the other domain. H(f) Ic -w fc c +w Figure 1: Ideal bandpass filter frequency response for Problem
Problem 1. Find and sketch (see below) the impulse response of the ideal bandpass filter...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase of the frequency response. Make sure the frequency range is wide enough to show enough details. Assume R1 = R2 = 1k1, C1 = 7.5nF, and C2 = 2.5uF.
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...
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...
5. Consider the digital filter in Figure 3. (a) Assuming all delay units are cleared, find the transfer function for the filter (b) Write the difference equation for the filter. (c) Find the impulse response for this filter. (d) Now assume that delay unit 1 (D1) initially has a value 1 stored and the other delay units are cleared. Find 2 D3 4 D2 2 DS Figure 3: Question 5
5. Consider the digital filter in Figure 3. (a) Assuming...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
Analysis Linear Systems
Problem 17. Consider the standard amplitude-modulation system shown in Figure 3 Figure 3 x) Channel Filter he(r) cos wor cos ωοι M(w) H(u) (a) Sketch the spectrum of r(t). (b) Sketch the spectrum of y(t) for the following cases: (i) 0S WcWo-m (iii) wc >wowm (c) Sketch the spectrum of z(t) for the following cases: (i) 0 S WcWo-m (iii) wc >wowm d) Sketch the spectrum of v(t) if we wowm and (i) w
Consider the following transfer function of a bandpass filter: 20 1,500 T(S) = 2 1,500 + 1)(30.000 +1) a) Draw the Bode plot (magnitude and phase) of T(s). Label the slopes (dB/decade) b) Name the filter type. c) Determine the resonant frequency o d) Determine the gain in dB at the resonant frequency e) Determine bandwidth B, and the quality factor of the filter. Magnitude (dB) Phase (Deg)
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