[10 points) Compute the frequency response H(12) for each of the following discrete-time systems: (a) y[k]...
5 11 Question 3 2 pts Consider a discrete-time linear system with frequency response H(12) = en The input to the system is the signal (0.2+ef) x[k] = 2 cos(1.2k).The output of the system is the signal y[k]. y[k]is a cosine with amplitude approximately equal to: 4.566 0.578 0.919 1.837
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown below. *(-1) - x[-2] - ... -0 and yf-1) - Y[-2] ... - x[r] - int) Find “Math Model" for the system. nt) Find "Transfer Function" for the system. Draw the pole-zero plot for the system (use unit circle on Re-Im axis) Sketch the amplitude response of the system → indicate values at important points (92 = 0, 1/4, 21/4, 37/4, T) include detailed...
Question 6 (3 points) Find the unit impulse response of the following discrete-time system y[k + 1] + 2y[k] = f[k]
5. (12 points) Consider a continuous-time LTI system whose frequency response is sin(w) H(ju) 4w If the input to this system is a periodic signal 0, -4<t<-1 x(t)=1, -1st<1 0, 1st<4 with period T= 8 (a) (2 points) sketch r(t) for -4ts4 (b) (5 points) determine the Fourier series coefficients at of x(t), (c) (5 points) determine the Fourier series coefficients be of the corresponding system output y(t)
5. (12 points) Consider a continuous-time LTI system whose frequency response is...
Compute the unit-pulse response h[n] for the discrete-time system y[n + 2] - 2y[n + 1] + y[n] = x[n] (for n = 0, 1, 2, 3).
1. Compute the unit-pulse response h[n] for n=0, 1, 2 for the discrete time system y[n+ 2] + [n+1] + [n] = {n+1]- x[n]
(25) 15 points Find the discrete time impulse response of the following system if its Region of Convergence is } <=< 1 - 12- H(2) = (1 - 32-1) (1 - 12-1) (1- Lütfen birini seçin: k 1 1 1 a. u(-k – 1) k k 3 1 1 u(k) 2 u(k) 2 3 * (*) *u(6–1) +} (3) } (3) 1 (3) * (1) *ux) +; (3) *u-k – 1) k k 3 1 1 1 (19) u(-k –...
Problem 5.3 (20 Points) A discrete-time, linear time-invariant system H is formed by ar- ranging three individual LTI systems as shown below. LTI LII System 1 System 2 n] > >yn] ATI System 3 Figure 2: The cascaded LTI system H. The frequency response of the individual system H, is as follows: H2 : H el) = -1 + 2e- ja The impulse response of the other individual systems are as follows: Huhn = 0[n] - [n - 1] +...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
6. Find h[k], the unit impulse response of the systems described by the following equations: a) y[k] + 3y[k – 1] + 2y[k – 2] = f[k] +3f[k – 1] +3f[k – 2] b) yk + 2 + 2y k + 1] + yſk] =2fk + 2] – fk + 1] c) y[k] - yſk – 1] + 0.5y[k – 2] = f[k] + 2f[k – 1]