Find the Nyquist rates for these signals: (a) X(t) = sinc (20) (b)x(t) = 4 sinca...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t 4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
2. Determine the Nyquist rate for the following signals sin(4000nt) (a) x(t) = (b) x(t) = 2 + cos(1000nt) – sin(3000mt +-1 it 3 4
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...
Hi can you help me solve the following Signals and Systems question on Forward and Inverse Fourier Transform. I have attached the answers for your reference. (Note: As the answers are in random order, only 2 out of the 5 are correct.) Thank you. 15. Using the multiplication-convolution duality of the CTFT, find an expression for y(0) that does not use the convolution operator * and graph y(U) (a) y(1)= rect() * cos(n) (b) y(1)=rect(t) * cos(2π) Multiplication-Convolution Duality Properties:...
Signals and Systems Nyquist Rate of signal is? X(t) = sin( 500 TT4) Sin caso trd) Tit + cos² (1000it) sin (400 T7E) Tt
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
Fourier transforms using Properties and Table 1·2(t) = tri(t), find X(w) w rect(w/uo), find x(t) 2. X(w) 3, x(w) = cos(w) rect(w/π), find 2(t) X(w)=2n rect(w), find 2(t) 4. 5, x(w)=u(w), find x(t) Reference Tables Constraints rect(t) δ(t) sinc(u/(2m)) elunt cos(wot) sin(wot) u(t) e-ofu(t) e-afu(t) e-at sin(wot)u(t) e-at cos(wot)u(t) Re(a) >0 Re(a) >0 and n EN n+1 n!/(a + ju) sinc(t/(2m) IIITo (t) -t2/2 2π rect(w) with 40 2r/T) 2Te x(u) = F {r) (u) aXi(u) +X2() with a E...
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b) r(t) пt
NB: In this Webwork problem, take sinc(t) = sin(t)/t (in contrast, in Signal Processing literature, sinc(t) = sin(mt)/at). Find the Fourier transform Xı(w), X2(w), and X3(W) of the signals xi(t), x2(t), and x3(t), using the Fourier transform pair X(t) = u(t + 1) – ult – 1) + X(W) = 2 sinc(w). Then select the Fourier transform property you used for each signal, from the corresponding drop-down menu. In your answers, enter “w” for omega. a) x1(t) = -3u(t +...