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- Answer the following questions in details. 1) Determine whether the following signals are periodic or non-periodic. If they are periodic, find the fundamental period. a) b) te=cos(+1) 2) Find the even and odd parts of the following signals: x(t) = (1 + r) cos (104) X(t) = ejt 3) A discrete-time signal [n] is shown below. Sketch and label each of the following signals. (a) xn-21 (b) x[21] (c)--) (d) x[-n21 a) 4) Determine...
Discrete System question
9.3. The signals in Figure P9.2 are zero except as shown. (a) For the signal x,[n] of Figure P9.2(a), plot the following (i) 2 3n] (iii) 3x1n-2] (v) 12x-2n (ii 2xn (iv) 3- aIn (vi) 2 -n]-4 (b) Repeat part (a) for the signal xb[n] of Figure P9.2(b). (c) Repeat part (a) for the signal xn of Figure P9.2(c). (d) Repeat part (a) for the signal xn of Figure P9.2(d) 484 Discrete-Time Signals and Systems Chap. S...
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:...
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Need Help with 4,6,8,10,15,18
Problems 123 If f(n) is a periodic sequence with period N, it is also periodic with period 2N. Tet 8(k) denote the DFS coefficients of X(n) considered as a periodic sequence with period N and X,(k) denote the DFS coefficients of x(n) considered as a periodic sequence with period 2N. X,(k) is, of course, periodic with period N and X2(k) is periodic with period 2N. Determine 8(k) in terms of X (k). 5. Consider two...
lig. 1 Problem 2) (20 points) A discrete-time signal x[n] is shown in Fig. 2. Sketch and label each of the following signals a) x[2n - 2] b) x[3n – 1] c) x[1 – n] d) x[-n - 1] x[n] -2 -1 0 1 2 1 4 n +-2 Fig. 2
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
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)
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.
3. Problem 3 [Impulse). One of the most important digital signals is the so-called unit impulse sequence, which is a discrete time function whose sample is equal to zero for all values of the time index n except n = 0, where it has unity value, that is, Ji, n=0, 8[n] = 0, n+0. Page 6 (a) (2 points) Draw a graphical representation of the signal 8[n]. The horizontal axis should indicate the time-index value n = ..., -2,-1,0,1,2,... and...
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following:
1.Given a discrete-time signal defined as and the values at other instants equal zero. a) y(n)-x(2-n (b) y(n) x(3n-4) (c) y(n)-x(n) Sketch each of the following: