Question 4 For the given x(t) signal determine X(w) (Fourier Transform) X(t)= 5(2t - 1) -...
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...
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
(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 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
3. If signal 13(t) has Fourier transform J 1-2W, -0.5 <w< 0.5 otherwise 0 find 13t).
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) = Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) =
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18 Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
Question 1 1 Given Y(w) the Fourier transform of y(t -2) is 4+w 1 O Y(w)= 4+(w-22 e 12 4+w2 O e-2w 4+ w2 O -12w 4+ 2 Question 1 1 Given Y(w) the Fourier transform of y(t -2) is 4+w 1 O Y(w)= 4+(w-22 e 12 4+w2 O e-2w 4+ w2 O -12w 4+ 2
The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87 exp[ -( 0.047 f )2 ] Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz. The correct answer is 3.93