Using Z-transform, find the output of an LTID system specified by the linear difference equation: |...
2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...
Use the Z-transform to find the general solution (zero-input and zero-state) for the following linear recursive difference equation written in advanced form: y[n+2] +3y[n+1]+2y[n] = 2x[n+2] A. Use the Z-transform to find the zero-input solution with initial conditions: y[-2]=2, and y(-1)=3 B. Use the Z-transform to find the zero-state solution if the source function is given by, x[n]=3" u[n] C. Write the general solution to the linear recursive difference equation D. Use the Z-transform to find the transfer function (H(z))...
Given the following difference equation that describes the input output relationship, (a) Express Y(z), the z-transform of the output, in terms of X(z), the z-transform of the input. (b) Find the system function H(z). (c) Identify the zeros and poles. Sketch the zero-pole plot. (d) For an input rn]- cos (n), find the output yn] (e) Use the zero-pole plot to explain what you obtain in d)
1. Using iterative solution, find the first eight output signal sample values for the following linear difference equation: with initial condition yl-18 and causal input nnun 2. Using iterative solution, find the first eight output signal sample values for the following linear difference equation: with initial condition yf-2 2, y-11 and causal input n- (n + 1)ufn
[2 Marks] 18. If (z) and u[n]-cos(2n)지지 the correct value of V(z) will be (2z-1) js 2 2zei5-1 2ze-15-1 2 2zel5-12ze-15-1 19. Determine the Z-transform of x[n]. [2 Marks each] n] sinl0n)u[n]0.3" n] 0.5" cos (10n)u[n] In]-(0.3) u[/n] The transfer function of a discrete time system is H(z)- 20. 1+2z3z Use the inverse Z-transform to determine the system difference equation [4 Marks] 21. An LTI system is described by the following input/output difference equation: yln] 0.12yln x[n] (assume zero initial...
2) An LTI DT system is defined by the difference equation: y[n] = -0.4yIn - 1] + x[n]. a) Derive the impulse response of the system. (2 pt) b) Determine if the system is BIBO stable. (1 pt) c) Assuming initial conditions yl-1) = 1, derive the complete system response to an input x[n] = u[n] - u[n-2), for n > 0.(2 pt) d) Derive the zero-state system response to an input z[n] = u[n] - 2u[n - 2] +...
What is difference between differential equation and difference equation? Solve following difference equation using Z-transform method? Draw final block diagram? x(k+2) +3x(k-1)+ 2x(k)=u(k)
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 0.
Q17 The difference equation describing the input-output relationship of a discrete-time system is Un +2 - 7un+1 + 10un = 5n, Up = 6, uy = 2 Using Z-Transform, find the output function u
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all initial conditions are zero), y(n)-0.6y(n - 1+0.25y(n - 2) -x(n) +x(n- 1) a. find the impulse response sequence y(n) due to the impulse sequence o(n): b. find the output response of the system when the unit step function u(n is applied