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The spectrum of a signal is shown below. You sample this signal with sampling period of...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
A continuous time, si spectrum illustrated below: 2 s, has the magnitude spectrum illustrated berioic signal,x(),...
A continuous time, si spectrum illustrated below: 2 s, has the magnitude spectrum illustrated berioic signal,x(), with a fundamental period 7 - 2 -3 2 a) Plot the magnitude spectrum of x (3t). b) Plot the magnitude spectrum of eltx(t) c) Plot the magnitude spectrum of 2x(t) + d) Determine the average power of x(3t) co δ(t-3m)
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
Problem 15.10 Suppose that you need to transmit a discrete-time signal whose DTFT is shown in...
Problem 15.10 Suppose that you need to transmit a discrete-time signal whose DTFT is shown in Figure 15.16 with sample rate 1MHz. The specification is that the signal should be transmitted at the lowest possible rate, but in real time, i.e., the signal at the receiver must be exactly the same with a sample rate of 1MHz. Design a system (draw a block diagram) that meets these specs. Both before transmission and after reception, you can use upsampling-filtering denoted as...
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...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
The spectrum of a DSB-SC signal is shown in the figure below. The carrier is given...
The spectrum of a DSB-SC signal is shown in the figure below. The carrier is given by: Acos(2*1007). What is the modulating signal m(t)? Hul DSB-C spectrum(1).png DSB SC spectrum.pdf
Q1) The spectrum of a signal m() is shown in Fig.Q1. This signal is ideally sampled...
Q1) The spectrum of a signal m() is shown in Fig.Q1. This signal is ideally sampled using train of impulses. MIn -3k 3 f Fig.Q1 a) Sketch the spectrum of the sampled signal gs() when i) f, = 7 kHz. ii) f, equals the Nyquist rate b) The sampled signal is passed through an ideal low-pass filter LPF which is band-limited to 3 kHz. Sketch the spectrum of the output signal for each of the three sampling rates given above.
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X...
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters. 101 > H(a) H (aa) T -T f)
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters.
101 >...
Let x(t) be the signal with Fourier transform Xjw) shown below x(j) Let Xs(t) be obtained...
Let x(t) be the signal with Fourier transform Xjw) shown below x(j) Let Xs(t) be obtained by sampling x(t) with sampling period Td let xdin]- x(nT) for all integer n. Which option is the plot of Xd(e the Fourier transform of xdinj? Instructions: First sketchXs ω which is the Fourier transtorm of xs nt is going to be infinite number of replicas of Sketch on 3 e cas. You need to n he span between heep as he )and Xole...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
A continuous time, si spectrum illustrated below: 2 s, has the magnitude spectrum illustrated berioic signal,x(), with a fundamental period 7 - 2 -3 2 a) Plot the magnitude spectrum of x (3t). b) Plot the magnitude spectrum of eltx(t) c) Plot the magnitude spectrum of 2x(t) + d) Determine the average power of x(3t) co δ(t-3m)
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
Problem 15.10 Suppose that you need to transmit a discrete-time signal whose DTFT is shown in Figure 15.16 with sample rate 1MHz. The specification is that the signal should be transmitted at the lowest possible rate, but in real time, i.e., the signal at the receiver must be exactly the same with a sample rate of 1MHz. Design a system (draw a block diagram) that meets these specs. Both before transmission and after reception, you can use upsampling-filtering denoted as...
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...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
The spectrum of a DSB-SC signal is shown in the figure below. The carrier is given by: Acos(2*1007). What is the modulating signal m(t)? Hul DSB-C spectrum(1).png DSB SC spectrum.pdf
Q1) The spectrum of a signal m() is shown in Fig.Q1. This signal is ideally sampled using train of impulses. MIn -3k 3 f Fig.Q1 a) Sketch the spectrum of the sampled signal gs() when i) f, = 7 kHz. ii) f, equals the Nyquist rate b) The sampled signal is passed through an ideal low-pass filter LPF which is band-limited to 3 kHz. Sketch the spectrum of the output signal for each of the three sampling rates given above.
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters. 101 > H(a) H (aa) T -T f)
2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X(a) H(a) 2m 2IT 2π 3T 3T Find x (t),Y (), and y(t) for each of the following filters.
101 >...
Let x(t) be the signal with Fourier transform Xjw) shown below x(j) Let Xs(t) be obtained by sampling x(t) with sampling period Td let xdin]- x(nT) for all integer n. Which option is the plot of Xd(e the Fourier transform of xdinj? Instructions: First sketchXs ω which is the Fourier transtorm of xs nt is going to be infinite number of replicas of Sketch on 3 e cas. You need to n he span between heep as he )and Xole...
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