4. (20 points) Please find the even part and odd part of the following signals. a)...
Please help on this question! I will rate! Calculate the even and odd content of the following signals (a) X(t) = sin(t) + cos(3t) + sin (t) •cos (t) (b) x(t) = t.cos (t) (c) x(t) = t3.sin(2t) +2.tsin (t)cos (t)
For each of the signals please indicate it it's even/odd or neither signal. Please explain why and how using math. 8. Consider the following DT signals a of them defined fo00 5,[n]-cost n / 5) + 2 sin(π n / 5) s.[n] = (1.5)" s[n]-mu[n] sLn]- #9 . For each
#1) For signals a, b, and c identify "even" or "odd" symmetry directly or by shifting. Then use integral along with even/odd symmetry and find all Fourier coefficients. 제) x(t) 10 1/2 cycle of sinusoid -4 la) Lb) -1 Cc)
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic. If periodic, • Even, odd, or neither. If it is neither, specify To. decompose it into even part Ev{x} Energy signal, power signal, or and odd part Od{x} and sketch them. neither. Find the total energy E. and average power PC- 12 -1<n<1 (a) xa n] = lo otherwise (b) xo(t) = xy(t) + x2(t), where x,(t) and x2(t) are the signals shown below:...
(a) (20 points) Find the Fourier transform of each of the signals given below: Hint: you may use Fourier Transforms Table. i. xi(t) = 2rect (-) cos(107t) ii. x2(t) = e(2+33)t ul-t+1) i co(t) - S1+ cos(at), \t<1 iii. x3(t) = 0 otherwise iv. x4(t) = te-tu(t)
2) (3 points; J2) The function below is even, odd, or nelther even nor odd. Select the statement below which best describes which it is and how you know. f(x) = 5 x6 - x2 + 8 A) This function is even because f(-x) = f(x). B) This function is odd because f(-x) = -f(x). C) This function is even because f(-x) = -f(x). D) This function is odd because f(-x) = f(x). E) This function is neither even nor...
EE-3424, MATH IN SIGNALS AND SYSTEMS, ART GRIGORYAN, SEPTEMBER 30, 2016 Problem 1: (20 points) Given signal r (t) = -2 cos (2t +2)-4t+1 hnd and plot the even part yeven (t) and odd part t) of the signal y(t) -= r(t-1).
Problem 4 For each of the signals given, determine mathematically whether the signal is even, odd, or neither. (ii) (iv) x[n] x[n] =-n (iii) x[n-(2) = 6 + 2" + .2-n
Use the even-odd and periodic properties of the trigonometric functions to simplify. a) csc(t) - 4 csc(-t) b) -2 sin(3t + 2) - 3 sin(-3t)
2. Problem 3.16 in the text. Find and graph the even and odd parts of these functions. g[r] = u[n]=u[n=4] (a) g[n] = e"* u[n] -n/4 (b) g[n] = cos(2m /4) (c) g[r] = sin(2m/4)u[1] (d)