5) (1pt) Assume x(t) with Fourier Transform X(w) shown below (where 1X(15)1-3 and 1X(4511e1). Assume x(t)...

Question

Question

Answer 1

Answer #1

15 45 60 5 2 Ö5 o) -1150 000850 200o 0 100 ao 850 000 50

Answer 2

Similar Homework Help Questions

The Fourier Transform of a certain time function, x(t), is shown below F{x(t) x(f) 2.5 7...

The Fourier Transform of a certain time function, x(t), is shown below F{x(t) x(f) 2.5 7 1.5 1 0.5 -30 -20 -10 10 20 30 f(Hz) equation for X(f A. Write an B. Write an equation for x(t). C. Write and equation for the Fourier Transform of x(2t) and draw a sketch D. Write and equation for the Fourier Transform of x(t) and draw a sketch equation for the Fourier Transform of x()cos(2 E. Write an 15 t and draw...
7. The signal x(t) shown below is modulated (multiplied) by cos(10nt). Find the Fourier transform of...

7. The signal x(t) shown below is modulated (multiplied) by cos(10nt). Find the Fourier transform of x(t)cos(10nt) and neatly sketch the magnitude? Useful transform pairs. rect (9) = t sinc (); «(t)cos (Wgt) }(x(w+wo) + X(w – wo)); «(t – to) ~X(w)e-juto (10 points) x(+) 1 t
QUESTIONS 1. Determine the Fourier transform of the signals y() and g) shown below. (10 points)....

QUESTIONS 1. Determine the Fourier transform of the signals y() and g) shown below. (10 points). a. Given x()- Cos(100ntt) and p() - Cos(1100nt), what is the Fourier transform Y(w) of y(0)2 x(t) y(t) p(t)

4. Given that x(t) has the Fourier transform X(a), p(t) is a periodic signal with frequency...

4. Given that x(t) has the Fourier transform X(a), p(t) is a periodic signal with frequency of ??. p(t)-??--o nejnaot, where Cn is the Fourier series coefficient of p) (1) Assume y(t)-x(t)p(t), determine Y(?), the Fourier transform of the modulated signal y(t) in terms of X(). (2) Given the spectrum sketch of x(?) shown below, p(t)-cos(2t) cos(t), determine and sketch the Y() X(w) -1
1) Prove following Fourier transform: x(t)cos (Wot+0) 3 jx(w-wo)el® + X(w+w)e=;8]

1) Prove following Fourier transform: x(t)cos (Wot+0) 3 jx(w-wo)el® + X(w+w)e=;8]
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...

(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...

Problem 5. (Properties of Fourier transform) Consider a continuous time signal x(1) with the following Fourier...

Problem 5. (Properties of Fourier transform) Consider a continuous time signal x(1) with the following Fourier transform: X(jw) = J 1 - if we l-207, 207] if|wl > 207 (3) Let y(t) = x(26) cos? (507). Sketch Y (w), i.e., the Fourier transform of y(t). (Note that 2 1 + cos(20) cos? (0) = 2
Question 4 For the given x(t) signal determine X(w) (Fourier Transform) X(t)= 5(2t - 1) -...

Question 4 For the given x(t) signal determine X(w) (Fourier Transform) X(t)= 5(2t - 1) - 5(2t + 1) Your answer: X(w)= j sin(w/2) X(w)= j cos(w/2) X(w)=sin(w/2) X(w)= sin(2) X(w)= cos(2w) Clear answer Back Next 19 w MacBook esc Q Search or enter website nam
1. A certain function of time x (t) has the Fourier transform X(f) shown below Sketch...

1. A certain function of time x (t) has the Fourier transform X(f) shown below Sketch the spectrum of [x(t)]2 and find its bandwidth. Sketch the spectrum of [x(t)cos(2r15t)] and find its bandwidth. a. b. 11 -10 9 9 10 11

(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts)...

(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...