please solve all with steps. thank you. if needed i can splot it into more questions. thanks!
please solve all with steps. thank you. if needed i can splot it into more questions....
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...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
(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...
Pleaase answer all parts with neat and precise work. show all steps. Please 24. The following Fourier pair for the Lorentzian/Cauchy pulse was discussed in class: f(t)-_a (21) where a > 0 is a measure of the width of the time signal. The domains of f (t) and F(w) are -oo < t < oo and-oo <ω<00, respectively. (a) Showing all work, determine the time signal g (t) that has the following Fourier transform, where to is a given constant:...
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the next page). a) Write the mathematical expression of M(o) and sketch it (label the axes carefully). Let qDSB-Sc (t)-2m(t)cos.. Write the mathematical expression of φ)DSB-SC(w) and sketch it (label the axes carefully). b) c) Suppress the USB in the DSB-SC spectrum you sketched in (b) to find the...
please show steps, focus on part b more 1. (23 points) Sampling and Aliasing. (a) Find the Nyquist sampling rate wn for the given x(t). (Recall that the sampling frequency has to be twice larger than the bandwidth of the signal to recover the signal without loss of information.) i. (5 pts) X(t) = sinc(5000) * cos(7t). ii. (5 pts) r(t) = sin(101) cos(106) iii. (5 pts) (t) = sinc(50000) + cos(56) (b) (8 pts) Let r(t) = sinc(t/h), y(t)...
need help with these two. thank you! Using the convolution property of Fourier Transform to find the following convolution: sinc(t) * sinc(40) [Hint: sinc(t) rect(w/2)] F TT sinc (4t) TE z sinc (26) TE 2 sinc(t) TT sinc (t) sinc(2t) Question 6 (10 points) Determine poles and zeros of transfer function H(s) 2(3-3) +58 +6 Zero: -3; Poles: -2 and -3 Zero: 3; Poles: -2 and -3 Zero: 2; Poles: -2 and 3 Zero: 0; Poles: 2 and -3
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 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...
Can someone please help me with all these questions please? I desperately need it asap! Must be done with MATLAB. Thumbs up will be guaranteed! Thank you so much!! A. Discrete Fourier Transform and zero padding For the signals x1[n] and x2[n] answer the following questions: x2 [n] = cos(2m30/100) + 0.5 cos(2nn40/100) 1) Compute and plot the length-N DFT magnitude of signals x1[n] and x2[n] with respect to frequency fr, where f and N is the number of samples....