4. (20 points) x (n)-x(n-1) Consider the system y(n) -y(n 1) 4 (1) Find the frequency...
please answer correctly 4. (20 points) Consider the system y(n)(-1 x(n) +x(n-1) (1) Find the frequency response of this system. (2) Find the steady-state response when x(n) = 5 cos(n, π)
If the input to the system described by the difference equation y(n+1) (1/2)x(n+) -x(n) is a) Does it matter what are the initial conditions for nc0 in order to find y(n) for n20? Explain your b) x(n) -u(n) answer. (3 points). Determine the transfer function H(z) and the Frequency Response (H(est) (10 points). Find the amplitude lH(epT)I and the phase He*') as a function of co. Evaluate both for normalized frequency ω T=z/4. ( 10 points) c) Find the steady...
20. a. Find the system function given the following difference equation: = x (n b. Find the steady-state response to x(n)-cos(π n). C. Find the magnitude and phase of the frequency response for π. ω d. Obtain b from c 20. a. Find the system function given the following difference equation: = x (n b. Find the steady-state response to x(n)-cos(π n). C. Find the magnitude and phase of the frequency response for π. ω d. Obtain b from c
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
esssio8SS 20 20 ZEHIO) Name: Consider the system: (D+2)y(t) = 2x(t) Find the magnitude of the frequency response. b. Find the phase of the frequency response. Find the steady-state solution to an input x(t) = 10 cos (2 t + 30). a. c. 0:0-00+ -F) Ln 2 HATURAL- U.P.A.m. ane ALPHA MODE SETUP NO REPLAY בךכ x DEC HEX 10 BIN OCT 6660 hyp tan. (- soo uIs W-w ENG CLR OFF ANO2 SNI SNC DEL AC nPr I DRG...
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...
matlab please matlab please (4) Consider the system described by the following difference equation y(n)1.77y(n-1)-0.81y(n 2)a(n)- 0.5(n -1) (a) Assuming a unit-step input, and using a long enough section of the input constant output y(n) is observed for large n, hence plot the output and determine the value of this constant called G so that a Note: G, y(n) for n0o. (b) Determine and plot the transient response given by: n(n) = y(n)- Go (c) Find the energy of the...
2. Consider the system: CD +2)y (t) 2x (t) a. b. c. d. Find the ZIR if y(0)-2. Find the magnitude of the frequency response. Find the phase of the frequency response. Find the steady-state solution to an input x(t)-10 cos(2t + 300)