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Consider the simple signal processing system shown in below fig, the sampling periods of the...
thanks Consider the simple signal processing system shown in below fig. The sampling periods of the...
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Consider the simple signal processing system shown in below fig. The sampling periods of the A/D and D/A converts are T = 5 ms and T' = 1 ms, respectively. Determine the output y_a (t) of the system, if the input is x_a (t) = 3 cos 100 pi t + 2 sin 250 pit
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...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t)...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) =...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5 Give a specific example for a frequency response H(e2) such that the inputs xc(t) = cjt and xe(t) = e-2j1 lead to the outputs ya[n] = 2e1.5i(n-1) and yan = 0, respectively. Note that you should specify only one frequency response, which should work as expected in both cases. It is not necessary to justify your answer in this problem.
Problem Consider the signal...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
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...
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...
need problem 6.13 done. 12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
For the system shown in Fig. 2, X(e"), the Fourier transform of the input signal x[n],...
For the system shown in Fig. 2, X(e"), the Fourier transform of the input signal x[n], is shown in Fig. 3 5. Interpolator Decimator Lowpass filter Gain = L Lowpass filter In Sampling - period: T TM Lowpass filter Gain = L [n を[n] | . Cutoff= min(mIL, TIM) aln Sampling period: TM Fig. 2. For Problems 4 and 5 Fig. 3. For Problem 5 For each of the following choices of L and M, specify the maximum possible value...
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Consider the simple signal processing system shown in below fig. The sampling periods of the A/D and D/A converts are T = 5 ms and T' = 1 ms, respectively. Determine the output y_a (t) of the system, if the input is x_a (t) = 3 cos 100 pi t + 2 sin 250 pit
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...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
Problem Consider the signal processing system depicted below хаln] C/D Ya[n] Xc(t) Нeia) Conversion T 1.5 Give a specific example for a frequency response H(e2) such that the inputs xc(t) = cjt and xe(t) = e-2j1 lead to the outputs ya[n] = 2e1.5i(n-1) and yan = 0, respectively. Note that you should specify only one frequency response, which should work as expected in both cases. It is not necessary to justify your answer in this problem.
Problem Consider the signal...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
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...
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...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
For the system shown in Fig. 2, X(e"), the Fourier transform of the input signal x[n], is shown in Fig. 3 5. Interpolator Decimator Lowpass filter Gain = L Lowpass filter In Sampling - period: T TM Lowpass filter Gain = L [n を[n] | . Cutoff= min(mIL, TIM) aln Sampling period: TM Fig. 2. For Problems 4 and 5 Fig. 3. For Problem 5 For each of the following choices of L and M, specify the maximum possible value...
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