Answer both problems please. Problem 5 Accurately sketch the following function and evaluate the integral 15...
Answer both problems please. Problem 3: Accurately sketch the following function. Label all axes. 15 Points t - to W - to- 2W t - to - W x(t) =-B tri A rect - A rect W W t - t- 3W B tri /2 Problem 4: Accurately sketch the following function. Label all axes. 15 Points t - W t W 4 2T W x(t) = A rect A rect + B rect cos W W Problem 3: Accurately...
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...
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
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...
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...
(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...
Prob 5 (continued): with message signal m(t): m(t) 10 cos(20mt) + 6 sin(60rt) (8 points) Write an equation (do not spend time simplifying! can be in terms of both sin0 and cos0 functions) for the LSB-SSB signal if the message signal is modulated by carrier at 100 Hz: e. (6 points) Sketch the double-sided magnitude spectrum for the LSB-SSB signal (you do not necessarily need the equation from part (d) to draw this, you can go off your knowledge of...
6) Answer the following questions: a) (5 points) Using the Fourier transform, find the value of the following integral S. sinc(Be)dt b) (5 points) Find the Amplitude and phase spectra of the following signal x(t) Ae=sin(5t), t20, t<0. 10. c) (5 points) Find the Fourier transform of v(t) 1
6: Problem 1 Previous Problem Problem List Next Problem (2 points) Let f(x) = z* In(t)dt (a) Evaluate f'(10) = (b) Evaluate (8-1)'(0) = 6: Problem 27 Problem List (1 point) Evaluate the integral p T/3 -9 In(tan(x)), 57/4 sin(x) cos(x) 6: Problem 29 Previous Problem Problem List Next Problem (1 point) Find the area of the region enclosed between f(x) = x2 – 3x + 8 and g(x) = 2x2 – x. Area = (Note: The graph above represents...
Please answer both questions Problem #7: Evaluate the following integral. 10 1 x In x dx Problem #7: Save Problem #8: Let f(x, y) = (x + 7y)2 + (y – 10x)2. Find f(0, -6) Problem #8: Save