Homework Answers
Given problem has been solved with proper explanation and calculations. To understand this problem, a basic knowledge of different types of filter and Nyquist rate, envelope detector circuit is required. If you have any doubt, please comment.
A bandlimited signal is sampled at the Nyquist rate (fs ). The signal can be recovered by passing the samples through an envelop detector (b).
- A low pass filter with cut off frequency fs /2 can not be used because it blocks all the frequencies greater than fs /2.
- a High pass filter with cut off frequency fs /2 can not be used because it blocks all the frequencies lesser than fs /2.
- Only an envelope detector circut which pass the frequencies 0 to fs can be used to recover the original bandpass signal. So this is the correct answer.
- a PLL ( phase locked loop) is not related to reconstruction of a band limited signal.
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Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be...
. Problem 2: The signal (t) rect ) is first bandlimited with a low pass filter....
. Problem 2: The signal (t) rect ) is first bandlimited with a low pass filter. The bandlimited 4 . If the bandlimited signal is sampled with f signal has a maximum frequency component of plot the spectrum of the sampled signal. ,
Please Justify why or why the nyquist rate does change for each and not just give the rate itself. Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-...
Please Justify why or why the nyquist rate does
change for each and not just give the rate
itself.
Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-N2 . It has a Nyquist rate of ω,-2π.-4n/, . Determine and briefly justify the required Nyquist rate (o) of the following variations of this signal. (a) at)-s(t)+s(t-3004) (b) b(t) duo (c) c)s) (d) d(t)-s (t) (cos(ot)) ds(t) dt
Consider a continuous time signal...
The signal ?(?) = cos200?? + 0.25cos700?? is sampled at the rate of 400 samples per...
The signal ?(?) = cos200?? + 0.25cos700?? is sampled at the rate of 400 samples per second. Sampled waveform is then passes through an ideal low pass filter with 200 Hz bandwidth. Write an expression for filter output. Sketch the frequency spectrum of sampled signal.
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
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sa...
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sampled at the rate of fs400 Hz, show the resulting spectrum of the ideally sampled signal. (b) If we attempt to reconstruct gi (t) from the samples in Part (a), what will be the recovered analog signal in both time and frequency domains? (c) Determine another analog signal G2(f) in frequency domain such that its samples at = 400 Hz will lead to the same...
1. (50pt) NOTE: To get full mark, you are required to: (1) Plot sampled signals and...
1. (50pt) NOTE: To get full mark, you are required to: (1) Plot sampled signals and fitered signals in the frequency domain, (e) Provide solution in time domain and (3 Provide the reasoning. HINT: Take notice on the height of the low pass filter for correct solutions A signal r(t)-cos(3rt) is sampled at a rate of f, samples per second. The sampled signal is then passed through an ideal low pass filter (LPF) with a cutoff frequency at 2 Hz...
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...
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. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in thi...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
. Problem 2: The signal (t) rect ) is first bandlimited with a low pass filter. The bandlimited 4 . If the bandlimited signal is sampled with f signal has a maximum frequency component of plot the spectrum of the sampled signal. ,
Please Justify why or why the nyquist rate does
change for each and not just give the rate
itself.
Consider a continuous time signal s(t) sampled at Js and is bandlimited to a frequency less than ..-N2 . It has a Nyquist rate of ω,-2π.-4n/, . Determine and briefly justify the required Nyquist rate (o) of the following variations of this signal. (a) at)-s(t)+s(t-3004) (b) b(t) duo (c) c)s) (d) d(t)-s (t) (cos(ot)) ds(t) dt
Consider a continuous time signal...
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
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sampled at the rate of fs400 Hz, show the resulting spectrum of the ideally sampled signal. (b) If we attempt to reconstruct gi (t) from the samples in Part (a), what will be the recovered analog signal in both time and frequency domains? (c) Determine another analog signal G2(f) in frequency domain such that its samples at = 400 Hz will lead to the same...
1. (50pt) NOTE: To get full mark, you are required to: (1) Plot sampled signals and fitered signals in the frequency domain, (e) Provide solution in time domain and (3 Provide the reasoning. HINT: Take notice on the height of the low pass filter for correct solutions A signal r(t)-cos(3rt) is sampled at a rate of f, samples per second. The sampled signal is then passed through an ideal low pass filter (LPF) with a cutoff frequency at 2 Hz...
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...
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. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
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