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3. Determine whether or not each of the following signals is periodic. If a signal is...
Chapter 1: Problem 1. Determine whether or not each of the following signals is periodic. In...
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 )
Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period.
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
I need the solution of c and d only 3. Determine whether the following signals are...
I need the solution of c and d only
3. Determine whether the following signals are periodic or not. If periodic, find the fundamental period a. m(t) = (cos(2t - FU/3)] b. x(t) - Even (sin(Art).(t)) c. x(t)= cos(n.1/2) cos(n.rt/4) d. X(t)- cos(np.n/2)
1. Determine whether or not each of the following signals is periodic. In case a signal...
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,...
(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 -...
JU Q1. Sketch the following SIGNALS and determine for each whether it is: Periodic or aperiodic....
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:...
Determine whether the following discrete-time signals are periodic or not? For the periodic ones, find their...
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)
1.35 Determine if each of the following signals is a power signal, an energy signal, or...
1.35 Determine if each of the following signals is a power signal, an energy signal, or neither (а) х1() — [1 —е 2] u(0) (b) x2(t) 2 sin(4t ) cos(4t) (с) хз(t) — 2 sin(3t) cos(4t) 1.39 Compute the average power of the following signals (a) x eat for real-valued a (3 j4)e7 (b) х2(г) _ * (с) с х3(t) — eјЗejSi
(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 bel...
(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...
2. Categorise each of the following signals as either an energy or power signal, and find...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
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 )
I need the solution of c and d only
3. Determine whether the following signals are periodic or not. If periodic, find the fundamental period a. m(t) = (cos(2t - FU/3)] b. x(t) - Even (sin(Art).(t)) c. x(t)= cos(n.1/2) cos(n.rt/4) d. X(t)- cos(np.n/2)
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 -...
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:...
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)
1.35 Determine if each of the following signals is a power signal, an energy signal, or neither (а) х1() — [1 —е 2] u(0) (b) x2(t) 2 sin(4t ) cos(4t) (с) хз(t) — 2 sin(3t) cos(4t) 1.39 Compute the average power of the following signals (a) x eat for real-valued a (3 j4)e7 (b) х2(г) _ * (с) с х3(t) — eјЗejSi
(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...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
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