(d) A signal is sampled at intervals of 0.01 s for a total of 8 s. You arrange so the discrete Fourier transform covers the full range of frequencies between -F and F, What is F? What is the spacing between frequencies?
(d) A signal is sampled at intervals of 0.01 s for a total of 8 s....
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered? 10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
Problem 3 For the following signals, 345 points were sampled. a) 3.75 Hz signal sampled at 10 Hz b) 24.8 Hz signal sampled at 20 Hz c) 175 Hz signal sampled at 30 Hz Determine: i) The Nyquist frequency and whether the signal is aliased. ii) The values for Af and the uncertainty in the frequency ur (round to the nearest 0.001 Hz). If aliased, what is the aliased frequency (include a marked-up folding diagram, available on Canvas for Quiz...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
Hello, Experts! Tomorrow i have a final examination, so please giving me a hand to solve this question. Here is my question. Thank you so much!! Question 1: (25 marks) The continuos time signal Xa(t) has the Fourier transform shsown in the Figure Q.1. Xa(t) then is sampled with the sampling frequencies f, to get the discrete time signal xa(n). Sketch Xa(o), the DTFT of xa(n), for different sampling frequencies 4kHz; 2kHz, and 1kHz. D.What is the minimum sampling rate...
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...
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?...
We were unable to transcribe this imageH(o) s(t) ﹁ | y(t) | lyst) Impulse sample at rate o -B 0 B c) (5 pts) Using your value of B from part b, what is minimum value of the sampling rate co, that will allow the filter output y(t) to be perfectly recovered from its impulse sampled version ys(0)? d) (5 pts) What is the purpose of the filter H()? (One sentence answer please.) e) (10 pts) Suppose the sampling rate...
Insted of the equation on the pic, use this equation please 5e^-4t 3r x(t)-10e' for t,t 20 Assume 0-0 for I<0. Sketch the signal showing the major points of interest a) Calculate the Continuous Time Fourier Transform of *C b) Calculate the total energy of ( c) Using Parseval's theorem, compute the energy spectral density, ESD of"C) d) Sketch the ESD of "showing the major features. e) Using the ESD obtained from c), now calculate the essential bandwidth B Hz...
A 1.2 V-range analog signal is sampled by an 8-bit digitizer. What is the least significant bit? If the least significant bit in a different system is 10µV, what is the smallest change you can sample, according to the Nyquist Theorem?
9.99 Walk-Through: Discrete Fourier Trans- forms. You've measured the following data points for a function f(x):f(0) = 2, /(2) = 3,f(4) =-6, f(6) = 0. (a) Use Equation 9.7.1 to calculate and f2 (b) Find /-, without using Equation 9.7.1. This should lake no more than 20 seconds (c) What are/2 and? Again, more than 20 seconds means you re doing it wrong. (d) What frequencies p are represented by the terms f 1, fo fi and /2? 1J0J1 The...