Pleaase answer all parts with neat and precise work. show all steps. Please
Pleaase answer all parts with neat and precise work. show all steps. Please 24. The following...
Amnswer all parts with all steps and work please. Please clean neat work and picure //orfand 25. Using a combination of the delay and modulation properties, and showing all work, determine the Fourier transform G(w) of the following time signal, where to, Wo are given constants:
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...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Find the Fourier transform of f(t) = 14 -1sts1 lo otherwise (8 Marks) b) Use the solution of Q3 (a) to find the Fourier transform of f(t) 54 1sts3 to otherwise (4 Marks) c) Use the solution from Q3(a) and the appropriate theorem to find the Fourier transform of the following function; g(t) = eitf(t) (4 Marks) d) Find the convolution, f*g, of the...
Please show working and explanation if possible. Thank you so much in advance b) Given that the Fourier transform of f() is g(w)- esf (7 marks) Deduce the Fourier transform of f"(t + τ). c) A Free nduction Decay (FID) signal from a certain spectroscopic experiment was measured to be 7. )- A ex exp -i2 T. for t > 0, where Q, and Ω2 are 150x106 radian/s and 200x10° radians, respectively, while T, and 7, are 25 ns and...
Please show all steps and show neat work. thanks 4) For the periodic signal below, find the compact trigonometric Fourier series and sketch the amplitude and phase spec ra. If either sine or cosine terms are absent in the Fourier series, explain why -T π /4
Please answer all questions with math detail 3. (21 points) Laplace Transform (a) (15 points) Find the Laplace transforms of the following signals and determine their region of convergence sinwot)-iu i. f(t) -i, e-2(t-3 2<t otherwise (b) (6 points) The Laplace transform of a causal signal x(t) is given by X (s) = s2 , ROC: Re{s) > -1 Which of the following Fourier transforms can be obtained from X(s) without actu- ally determining the signal x(t)? In each case,...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Show from first principles that the Laplace transform of the function (0)=1, a 20 is f(3) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t): f(t) = e-3t.sin(4t) OR Find the inverse Laplace transform of the following: ses f(s) =...
Please help me answer this question fully and correctly. Please provide all your work and explain your steps so that I can try and learn to solve the problem. If you do not answer the question fully, I will thumbs down. Thank you in advance!!!! M we have a signal s(t) ={ 10- for ris10 0otherwise (a) Find and sketch the Fourier transform S(f) (b) Find and sketch the Fourier transform U(f) of u(t)-s(t) sin(1000πt). ( sketch real and imaginary...
Please answer questions step by step solution in details with clear handwriting, please. 2 Using the time shifting properties, prove the following: g(t) sin - wo) - G(w+w.)] Ig(t +T) - g(1 - 1)]=G(w)sin Tw Using the letter result, find the Fourier transform of the following signal: 2 3 3 4 Determine the maximum bandwidth of signal that can be transmitted through low pass RC filter as shown in figure where R=1000, and C= 109, If over this bandwidth, the...
(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...