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The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to...
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to 1; write a MATLAB code to find and plot X(f), H(f) and the output of the filter Y(f), where x(t) is given below: x(t) -0.5 0.5 2- Apply the signal x(t) in the previous example to a HPF, BPF and BSF and draw the output signal Y(f). 3- Find and Plot the transfer function of BSF.
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
10. An input signal x(t) is processed by a filter with an amplitude | H(f) |...
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
If g(t) and y(t) are the input and the output, respectively, of a simple RC low-pass filter (Fig....
If g(t) and y(t) are the input and the output, respectively, of a simple RC low-pass filter (Fig. 3.27a), determine the transfer function H() and sketch H(, 0h(), and td(). For distortionless transmission through this filter, what is the requirement on the bandwidth of g(t) if amplitude response variation within 2% and time delay variation within 5% are tolerable? What is the transmission delay? Find the output y(t) g(t)
If g(t) and y(t) are the input and the output, respectively,...
2. A continuous-time periodic signal with Fourier series coefficients c^ = and period T, 0.1sec pass...
2. A continuous-time periodic signal with Fourier series coefficients c^ = and period T, 0.1sec pass through an ideal lowpass filter with cut off frequency =102.5Hz. The resulting signal y, (t) is sampled periodically with T 0.005 sec determine the spectrum of the sequence y(n) = ya(nT)
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) =...
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) = - -2 <92 < 2 otherwise ZH (12) = 0 1/2 12 < 0 (a) Calculate the impulse response h(t) of the ideal low-pass filter. (b) If the input of the filter is a periodic signal x(t) having a Fourier series 2 X(t) = cos(3kt/2) k=1 determine the steady-state response yss(t) of the system. Answers: h(t) = (1 - cos(2t))/(nt); Yss(t) = 2 sin(1.5t).
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points...
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time i...
Please show all your working and steps and formular used. Thank
you
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time is a random variable whose PDF is showing in Figure 1. We want to transmit this signal using a uniform PCM system (a) Show that a (b) Determine the power in X(t) (c) What is the SQNR is decibels if a PCM system with 128 level is employed....
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to 1; write a MATLAB code to find and plot X(f), H(f) and the output of the filter Y(f), where x(t) is given below: x(t) -0.5 0.5 2- Apply the signal x(t) in the previous example to a HPF, BPF and BSF and draw the output signal Y(f). 3- Find and Plot the transfer function of BSF.
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
If g(t) and y(t) are the input and the output, respectively, of a simple RC low-pass filter (Fig. 3.27a), determine the transfer function H() and sketch H(, 0h(), and td(). For distortionless transmission through this filter, what is the requirement on the bandwidth of g(t) if amplitude response variation within 2% and time delay variation within 5% are tolerable? What is the transmission delay? Find the output y(t) g(t)
If g(t) and y(t) are the input and the output, respectively,...
2. A continuous-time periodic signal with Fourier series coefficients c^ = and period T, 0.1sec pass through an ideal lowpass filter with cut off frequency =102.5Hz. The resulting signal y, (t) is sampled periodically with T 0.005 sec determine the spectrum of the sequence y(n) = ya(nT)
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) = - -2 <92 < 2 otherwise ZH (12) = 0 1/2 12 < 0 (a) Calculate the impulse response h(t) of the ideal low-pass filter. (b) If the input of the filter is a periodic signal x(t) having a Fourier series 2 X(t) = cos(3kt/2) k=1 determine the steady-state response yss(t) of the system. Answers: h(t) = (1 - cos(2t))/(nt); Yss(t) = 2 sin(1.5t).
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
Please show all your working and steps and formular used. Thank
you
Figure 1: PDF of X(t) 4. Signal X(t) has a bandwidth of 10 kHz, and its amplitude at any time is a random variable whose PDF is showing in Figure 1. We want to transmit this signal using a uniform PCM system (a) Show that a (b) Determine the power in X(t) (c) What is the SQNR is decibels if a PCM system with 128 level is employed....
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