![The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine the sampled signal x[n]. (b) What would be the lowest possible sampling frequency for reconstructing x(0)? 4.](http://img.homeworklib.com/questions/98492870-40ee-11eb-96bb-71fb03e22ba7.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
The signal x(t) 10 cos(2t (3300) t +0.2x)) is sampled at fs 8 kHz (a) Determine...
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a functi...
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs....
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs. Answer the following: for a given sampling frequency Fs, what is the range of f so that the continuous time signal has a unique sampled signal? What happens if f is outside this range? Show you result using a number of illustrative Matlab plots (with suitably chosen Fs and f, try for example (some of) F=0.1Fs, 0.2Fs,..., 2Fs – but don't include all plots...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled at a rate of 8,000 Hz, a. sketch the spectrum of the sampled signal up to 20 kHz; b. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal; c. determine the frequneuencis f aliasing noise.
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs =...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume...
1. An analog signal \(\mathrm{x}(\mathrm{t})\) contains frequencies from 0 up to \(10 \mathrm{kHz}\). You can assume any arbitrary spectrum for this signal. (Note that this signals also has frequencies from 0 to \(-10 \mathrm{KHz} .)\) a) Draw the frequency spectrum of the signal after it has been sampled with a sampling frequency \(\mathrm{F}_{\mathrm{s}}=25 \mathrm{kHz}\) b) What range of sampling frequencies allows exact reconstruction of this signal from its samples? c) How is the original signal reconstructed from the sampled signal?...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
MATLAB Fourier transform. Suppose that a signal x(t) is sampled with sampling frequency fs =100Hz. The sequence x[n] obtained after the sampling is given below: Take the DFT of the sampled sequence a...
MATLAB Fourier transform. Suppose that a signal x(t) is sampled
with sampling frequency fs =100Hz.
The sequence x[n] obtained after the sampling is given below:
Take the DFT of the sampled sequence and plot
its magnitude and phase.
What is the frequency resolution (Δf) of your plot?
N= 20, 100 Hz
N= 20, 100 Hz
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs. Answer the following: for a given sampling frequency Fs, what is the range of f so that the continuous time signal has a unique sampled signal? What happens if f is outside this range? Show you result using a number of illustrative Matlab plots (with suitably chosen Fs and f, try for example (some of) F=0.1Fs, 0.2Fs,..., 2Fs – but don't include all plots...
2.5. Given an analog signal x(t)5cos(2T 2, 5001) + 2cos(2T 4, 5001), for t2 0 sampled at a rate of 8,000 Hz, a. sketch the spectrum of the sampled signal up to 20 kHz; b. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal; c. determine the frequneuencis f aliasing noise.
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
MATLAB Fourier transform. Suppose that a signal x(t) is sampled
with sampling frequency fs =100Hz.
The sequence x[n] obtained after the sampling is given below:
Take the DFT of the sampled sequence and plot
its magnitude and phase.
What is the frequency resolution (Δf) of your plot?
N= 20, 100 Hz
N= 20, 100 Hz
Most questions answered within 3 hours.
-
Notational Inc. is considering installing a new server. The
machine costs $100,000 and is expected to...
asked 18 minutes ago -
38%
of adults say cashews are their favorite kind of nut. You
randomly select 12 adults...
asked 19 minutes ago -
Given the information coding of DNA strand:
5'-TTT-TAC-GAA-GAG-TGA-3',
Write the corresponding DNA template and mRNA strand...
asked 39 minutes ago -
2. Boris recently synthesized an explosive compound he named
Badenoughium. The molecular formula for Bdenoughium is...
asked 4 hours ago -
5. A car decelerate evenly from a velocity of 50mph until rest
in a distance of...
asked 4 hours ago -
IN HTML Programming
1. Write a script that inputs integers (one at a time) and
passes...
asked 4 hours ago -
A dentist uses a mirror to examine a tooth that is 0.75 cm in
front of...
asked 4 hours ago -
You set up a 100,000 line of credit for the business on 1/1/X8,
annual interest is...
asked 4 hours ago -
What is the measurement uncertainty of a pan balance? How did you
get that?
asked 4 hours ago -
Suppose four firms have market shares of 30%, 30%, 20% and 20%.
What is the Herfindahl-Hirschman...
asked 4 hours ago -
IBT Industrial Solutions produces forty units of rack and pinion
type steering gears during an eight...
asked 4 hours ago -
The Ksp for PbI2 is 9.8×10−9 . Will PbI2 precipitate if 2.5 mL
of 0.0025 M...
asked 4 hours ago