Problem 7.3 (10 points) P-11.3 For each of the following cases, use the table of known...
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
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)
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Problem 7.3 r(t) has the Fourier transform Xjw Determine the Fourier transforms of the following signals. (a) Fal)-5r(3t -2) (b) r(t)(t 1)sin(2t) (c) elt)5) HINT: Find the value of r(t) first. (d) ralt) (t)cos(2mt
Hello, could you solve this problem, please
Use the time-shifting property to show that if æ(t) 4 x(t+T) + x(t – T) 4 X (jw), then 2X(jw) cos(TW). Use this result and the table of Fourier transforms in the textbook to find the Fourier transforms of sig- nals xa(t) and xb(t) shown below: Xa(t) xy(t) + 1 + 1 -4 -2 0 +2 +4 4 -2 ó +2 +4
Helpful Formulas:
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz =
* Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0
Useful Formulas/Pacts for PDEs/Fourier Series...
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(The operator ?? denotes convolution.)?
PROBLEM sp-10-F.4: For each of the following time-domain signals, select the correct match from the list of Fourier transforms below. Write your answers in the boxes next to the question.(The operator *denotes convolution.) x()u(t +4)- u(t-4) x(1)=?(1-2) * e-1 + in(1-1)*3(1-1) x(t)-cos(rt) * ?(1-4) -00 Each of the time signals above has a Fourier transform that should be in the list below [0] X(jo) not in the list below 40...
Name 2. (10 points) a) Find an expression for the Fourier Transform of the signal use the tables provided. illutrated below- you may 1.5p 0.5 05 2 1.5 1 0.5 0 0.51 1.5 2 b) Using your result from part (a), find an expression for the Fourier Transform of the signal c) Using your result from part (a), find an expression for the Fourier Transform of the signal d) Note that the signal p(o) illustrated below can be expressed as...
please complete all parts
Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think Fourier series.) (cos(nt) - 2sin(5rt)e-Jr dt XCj) (b) (5 points) Find the Fourier transform io of the following signal: 2(t) = sin(4t)sin(30) (c) (5 points) Solve the integral: sin(2t) 4t dt (d) (5 points) Use Parseval's theorem and your Fourier transform table to compute this integral:
Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think...
Problem 1: (3 +2+3+2 10, sampling) Consider the continuous-time signal x(t) = 3 + cos(10?1+ 5) + sin(15?), t E R (a) Find the Fourier transform X-Fr. Hint: (F ejuot) (w) 2??(w-wo) (b) What is the Nyquist Frequency wn in radians/s of x? (c) Write an expression for the Fourier transform of the ideal sampling of x with sam- pling period T, = 2n/Cav.), i.e., ?00_ox(AZ)6(t-kZ) Hint: (F eiru>tz(t) (w) - X(w - rus) and recall Poisson's identity, CO eyru'st,...