Signals and Systems: Discrete time Fourier Series:
If:
![r[n] = 2sin(n-) + cos(n-)](http://img.homeworklib.com/images/5b6400f3-6197-4591-b833-45d5bfc28be8.latex?x%5Bn%5D%20%3D%202sin%28n%20%5Cfrac%7B%5Cpi%20%7D%7B8%7D%29%20+%20cos%28n%5Cfrac%7B%5Cpi%7D%7B4%7D%29?x-oss-process=image/resize,w_560)
1. Please find the F.S. representation of x[n]
2. Please plot the amplitude spectrum
3. What is the fundamental frequency of x[n]?
4. How many distinct harmonics can be present in x[n]?--for this fundamental frequency.
5. How many harmonics are actually in x[n]?
Trying to prepare for finals, its crunch time, thank you for your help!
Homework Answers
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Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many d...
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please solve me these two questions and please solve it step by step and you get thumbs up, explain every detail especially the question 2 SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series e...
please solve me these two questions and please solve it step by
step and you get thumbs up, explain every detail especially the
question 2
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please explain how you get answer
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Don't need to do #1. Please go into detail on how you solved #2
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please solve me these two questions and please solve it step by
step and you get thumbs up, explain every detail especially the
question 2
SIGNALS AND SYSTEMS 1. Find the rgonometric Fourier Series expansion of the following signal: (15 M) -A Q2. Find the complex Fourier series representation of an impulse train given as: (15 M) x(t) δ(t-2m) Which frequency coefficient Cn has the largest power? Plot x(O and Gr
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please explain how you get answer
1. Discrete Time Signals Plot the following sequences: (a) x[n] = (n − 2)(u[n – 2) - u[n – 7]) (b) x[n] = r[n] – 2r[n – 2] + 2r[n – 6) – r[n – 8] (c) x[n] = 4(-0.5)"u[n], In< 10 (d) x[n] = (-0.5)" uſ2 – n), In| 54
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the sinusodal signal x(t) = 10 sin(21 Fot) with analog frequency F. Write an equa- tion for the discrete time signal n. (c) In part(b) if Fe = 400Hz and the sampling frequency F. = 4kHz, determine the fundamen- tal period of x[n].
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...
number 2
ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the...
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...
Don't need to do #1. Please go into detail on how you solved #2
and #3
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