![Let the input to the ideal C-to-D converter shown in the figure be x(t) = 4-2 cos (250nt-n-3 cos ( 2000π t x(t)Ideal[il C-to-D Converter yfn] y(t) LTI System H(z) Ideal D-to-C Comvester The system function for the LTI system is H(z) = (1 + z-4 z-2). If the minimum sampling rate is used for fs then determine an expression for the output of the ideal D-to-C converter, y(t). Also, plot the two-sided pectrum for y[n] and y(t). Be sure to label your plots appropriately.](http://img.homeworklib.com/questions/ee1af840-0777-11ec-91a0-abf4b5a6dd5e.png?x-oss-process=image/resize,w_560)
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Let the input to the ideal C-to-D converter shown in the figure be x(t) = 4-2...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency =...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency = 2 kHz . Find x[n] where 0 Find y(1) if x[n] s passed through an ideal D/A converter operating at a) ω π for all normalized frequencies. frequency fs = 2 kHz . c) Is y()-(t) Why or why not?
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
II. (5 pts). A discrete-time filtering rate, J,-6000 Hz, a downsampler that do cbandwidth shown), andt sfl that downsamples at rate, 5:1, a discrete-time filter with frequen- A converter at rate,...
II. (5 pts). A discrete-time filtering rate, J,-6000 Hz, a downsampler that do cbandwidth shown), andt sfl that downsamples at rate, 5:1, a discrete-time filter with frequen- A converter at rate, J 1200 Hz. "Ideal" means that the mle system, shown below, comprises an A/D converter sampling at converter contains an ideal lowpass er cota and a gain ofV6 . reconstruction filter with a bandwidth or contain a lowpass filter. The input to the system is xr)-cos(2r-750r)+sin(2x-1000r). in] A/D H(o)...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? ...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? Determine the Nyquist rate (the frequency which the sampling rate fs must exceed) for ae(t) (b) Consider processing the signal xe(t) (from part (a)) using the system shown below: Conversion to a sequence Conversion to an impulse train Ideal Reconstruction Filter Hr(ju) p (t) ур y(t) The sampling period for this system is T-1/50 seconds. The DT system H(ei2) is an ideal lowpass filter with...
[1].(20 Write a MATLAB program to design an FIR filter with the ssba (6KH2-12kHz) and draw the frequency response....
[1].(20 Write a MATLAB program to design an FIR filter with the ssba (6KH2-12kHz) and draw the frequency response. The sampling rate is 40kHz and the filter order is 10. Hint: b- firl(10, passband), freqz(b, 1, n (Display the horizontal axis in terms of analog frequency.) [2].(25}) In the following system f,800 samples/sec. yln]= 0.5y/n-1+ z{n]+ z{n_1] - c) Ideal D-to-A Cunverter LTI System Ideal A-to-D Converter -1/F T.-1/P (a) Determine the impulse response h nl/ (b) Determine the output...
5. (12.5%) The ideal D/A converter described by equation (6.25), equation (6.20), and equation (6...
Please offer the Matlab code.Answer the question b.c.f.g.
5. (12.5%) The ideal D/A converter described by equation (6.25), equation (6.20), and equation (6.24) cannot be constructed because they require an infinite number of past and future samples of c(t) for the interpolation. However they can be approximated by using only a finite number of terms. Here we consider 2 methods Method I is to use only (N 1) terms of the sum in equation (6.25) as: sin IT(t nT)/T] T(t...
1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T ...
please help as soon as possible
1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various parts below, be sure to include appropriate units, where applicable. a) Suppose that x(t)-5. Determine all numerical values...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
1. Consider the system shown in Figure 1 below. Ideal Ideal r(t) Sample period Sample period...
1. Consider the system shown in Figure 1 below. Ideal Ideal r(t) Sample period Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y(), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various pa be sure to include appropriate units, where applicable. rts below., Suppose that x(1) Justify your answer. a) 5. Determine all numerical values of T...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency = 2 kHz . Find x[n] where 0 Find y(1) if x[n] s passed through an ideal D/A converter operating at a) ω π for all normalized frequencies. frequency fs = 2 kHz . c) Is y()-(t) Why or why not?
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
II. (5 pts). A discrete-time filtering rate, J,-6000 Hz, a downsampler that do cbandwidth shown), andt sfl that downsamples at rate, 5:1, a discrete-time filter with frequen- A converter at rate, J 1200 Hz. "Ideal" means that the mle system, shown below, comprises an A/D converter sampling at converter contains an ideal lowpass er cota and a gain ofV6 . reconstruction filter with a bandwidth or contain a lowpass filter. The input to the system is xr)-cos(2r-750r)+sin(2x-1000r). in] A/D H(o)...
3. (a) Consider the signal xc(t)-sin(2π(40)t). How fast must xe(t) be sanpled to avoid aliasing? Determine the Nyquist rate (the frequency which the sampling rate fs must exceed) for ae(t) (b) Consider processing the signal xe(t) (from part (a)) using the system shown below: Conversion to a sequence Conversion to an impulse train Ideal Reconstruction Filter Hr(ju) p (t) ур y(t) The sampling period for this system is T-1/50 seconds. The DT system H(ei2) is an ideal lowpass filter with...
[1].(20 Write a MATLAB program to design an FIR filter with the ssba (6KH2-12kHz) and draw the frequency response. The sampling rate is 40kHz and the filter order is 10. Hint: b- firl(10, passband), freqz(b, 1, n (Display the horizontal axis in terms of analog frequency.) [2].(25}) In the following system f,800 samples/sec. yln]= 0.5y/n-1+ z{n]+ z{n_1] - c) Ideal D-to-A Cunverter LTI System Ideal A-to-D Converter -1/F T.-1/P (a) Determine the impulse response h nl/ (b) Determine the output...
Please offer the Matlab code.Answer the question b.c.f.g.
5. (12.5%) The ideal D/A converter described by equation (6.25), equation (6.20), and equation (6.24) cannot be constructed because they require an infinite number of past and future samples of c(t) for the interpolation. However they can be approximated by using only a finite number of terms. Here we consider 2 methods Method I is to use only (N 1) terms of the sum in equation (6.25) as: sin IT(t nT)/T] T(t...
please help as soon as possible
1. Consider the system shown in Figure 1 below. Ideal Ideal y(t) Sample period T Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various parts below, be sure to include appropriate units, where applicable. a) Suppose that x(t)-5. Determine all numerical values...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
1. Consider the system shown in Figure 1 below. Ideal Ideal r(t) Sample period Sample period T Figure 1. System for Problem 1. The input to the above system is x(), the output is y(), and the sampling period for both the ideal A/D and ideal D/A is T>0. For your answers to the various pa be sure to include appropriate units, where applicable. rts below., Suppose that x(1) Justify your answer. a) 5. Determine all numerical values of T...
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