Instruction: Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.
1. x[n] = ej(π/4)n
2. x[n] = cos1/4n
3. x[n] = cosπ/3 n + sinπ/4 n
4. x[n] = cos2π/8 n
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Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.
3. Determine whether or not each of the following signals is periodic. If a signal is periodic fundamental period x(t)=cos(2t+4 Determine whether the following signals are Energy signals or Power signals a. 4.
Chapter 1: Problem 1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its fundamental period. a.X (n) = 3 cos (5n + 4) b. x(n) = 2 exple-t) C. x(n) = cos () cos (4) d. "(m) = cos (3)- sin (a) + 3 cost 8 cos )
1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its period. sin(411t n+2) • cos? (in) . Can we use the formula, f = min ( - 14|1 - 4 + l{\), to find the period of sin(fnt n) or cos(2ft n)?
(50 pts) Determine whether each of the following signal is periodic. If the signal is periodic, find its fundamental period. (a) x(t) = 4, a constant signal. (b) x(t) = 28ej (400#t) (c) x[n] = 28ej(1007n) (d) x(t) = 10 sin(5t) - 4 cos(7t) (e) x[n] = 10 sin(5n) - 4 cos(7n) (f) r(t) = cos(Ft) sin(ft) (g) x(t) = teit (h) x[n] = e(m/v2) (1) x[n] = cos(km2) (Pay attention to the square) (j) x[n] = {X- 8[n -...
Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. 2. (5 points each) a. x1 [n] =sin(0.5n +z/4) c. x1n] = cos (tn/3) + sin(nn/5)-2cos(tn/10) d. x4[n]- sin(tn/12) cos(tn/3) (Hint: use trigonometric identities to write the signal as a sum of sinusoids)
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:...
2. Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their fundamental period. (5 points each) n12 c. z[n] sin (3rn7)2sin(n/10)
Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions. (a) g[n]=cos(27n/10) (b) g[n] = cos(in/10)= cos(2īn/20) (c) g[n] = cos(2n/5)+cos(2 ron /7) (d) g[n]=ej 2an/20 +ej27n/20 (e) g[n]=e+j27n/3 + ej27n/4 (f) g[n]=sin(1310n/8) –cos(97n/6)=sin(2x1310n/16) -cos (2x3mn/4) (8) g[n]=e367n/21 + cos(22n/36)– sin(11ăn/33)
Problem 1: A signal f(t) is said to be periodic if for some positive constant To f(t) = f(t+%), for all t. Determine whether or not each of the following continuous-time signals is periodic. If the signal is period eriodic, determine the fundamental a) f(t) = cos2(20t + π35/180) + sin(40t-725/180) + cos( 10t + π/4) cos(20t-n/4) b) f(t) = 10 cos(t + π/4) + c) f(t) = Σ+0000(-1)"u(t-1-4m) 25 sin(V3t - T/2)
Will thumbs up if completed. Please show all work and have clear images, thank you. 2. (i) Find the energy and the average power of the following signals. Also, state whether each signal is an energy or a power signal. (Remember: you need to give three answer to each signal: its energy, average power and its classification). (12 points) a. X[n] = eja/4n b. x[n] = 2-In (ii) Determine whether the following signals are periodic or not. If the signals...