Given a system magnitude and phase frequency response below, and an input signal x(n) = cos(2*pi*n/3),...
The given input signal for 2.7.2 is: x(t) = 3 cos(2 π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
5 pts D Question 1 A system has the following impulse response: .2 Sample number, n From the choices below, select the frequency response of this system. H (eju)-e(1.5 ) (2 sin( 1.5ώ) + 4 sin(0.δώ)) H (ee) = e-j(1.5e-5) (cos( 1.5 ) +2 cos(0.54)) @ H (ee)-e-n1.si) (sin( 1.54) t. 2 sin(0.δώ)) (sin(l.50) +4sin(0.0) H (ee)-e-j(1.5i) (2 cos( 1.5ώ) + 4 cos(0.5a)) H (efo)-e-n1.5u) (cos( 1.50) + 2 cos(0.50)) https://rmitinstructure.comcoursesy 5 pts DQuestion 2 A system has the following...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
Consider h(n)=[0.5^n * cos((pi*n)/2)]*u(n) a. find transfer function H[Omega] b. If x(n)= cos((pi*n)/2), find system output y[n] using H(Omega) from part a
3. Suppose that the frequency response of an LTI system is given by (a) What is the impulse response hinl) of the system? (b) Suppose that the input signal has the form zin-Ae'? n. For what values of ?0 in the range -r S will we have yn0 for all n? (c) Find the output y[n] of the system for the input x[n] = 3 + ?[n-2] cos(0.5?n 0.25m
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1) (20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
did i do ‘a’ correctly? and how do you do ‘b’, ‘c’, and ‘d’? Prob. 2 A DT system with real-valued impulse response hin), has the following magnitude and phase responses. Note that since hin] R, IH(e) H(eo) and H(e)H(e-) (a) From the graphs, fill in the table below. Express the frequency response in polar form, Hea ZH(e) Cu -2 633 -1032 π/8 ~ 0.4 1.2 60 03 1.5 r/2x 1.6 6.4I66 6s Prob. 2 (cont.) (b) Suppose the input...
Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure 6, it is known that the output y[n] is equal to x[n]. (-1)" (-1)" H (1) x[n] 0 Heº) -(n)=x[n] Hey[n]=x[n] H () Figure 6: System of Problem 6. The high-pass filters Hi(ej) and H2(ej) are given by 3 Hlejl-{ 2, s1, Hz(239) = { 0, 112 , H2(en) = { 0, 0319 Š T' 121 > 207 0 < 19213 21 Find the...
c) An excitation signal x(t) of frequency contents shown below is input to the communication system shown below Find and draw the output signal y(t) or Y(). # if the draw using MATLAB with the code will be better c) An excitation signal x(t) of frequency contents shown below X(@) 2W 2W is input to the communication system shown below e(t) v(t) 0 -3w 3w cos(5wt) coe(3wt) Find and draw the output signal ) or Y(a). c) An excitation signal...