Question

In: Electrical Engineering

A discrete system is described by the difference equation y(n)= 2.5y(n-1)-y(n-2)+3x(n)+3x(n-2) a. Using Z-transform, Determine all...

A discrete system is described by the difference equation y(n)= 2.5y(n-1)-y(n-2)+3x(n)+3x(n-2)

a. Using Z-transform, Determine all possible impulse responses h(n) and indicate the casuality and stability properties.                                                                                               

b.For the casual filter, determine the output y(n) if the input is x(n)=g(n)-2g(n-1) where g(n)=cos (pin/s)u(n).

Solutions

Expert Solution


Related Solutions

Consider the following discrete-time system: y[n] = 100 x[n] cos(0.45πn + 0.5π) (a) Determine if the...
Consider the following discrete-time system: y[n] = 100 x[n] cos(0.45πn + 0.5π) (a) Determine if the system is linear, time-invariant, causal and stable. Justify your answers. (b) Find the impulse response h[n] for the system and sketch the waveform. (c) Draw the system block diagram using adder, multiplier and delay elements.
A SISO DT LTI system having input x[n] and output is described by the difference equation...
A SISO DT LTI system having input x[n] and output is described by the difference equation y[n] = 0.5x[n] + 0.5x[n-1]. Obtain the unit sample response of the system by solving the difference equation. ( DO NOT USE LaPlace transforms or Z transforms)
Realize signal processing systems described by the difference equation: ?1(?)=1/2 [?(?)+?(?−1)] and ?2(?)=1/2 [?(?)−?(?−1)] using Matlab....
Realize signal processing systems described by the difference equation: ?1(?)=1/2 [?(?)+?(?−1)] and ?2(?)=1/2 [?(?)−?(?−1)] using Matlab. Assuming same input signal x(n)=sin(ωn) for various values of ω ={0,p/6 ,3p/2, 1.9p/2} applied to both systems find the following: a. Obtain stem plots and codes of y1(n) and y2(n) in each . b. Critically analyze y1(n) and y2(n) in terms of type of filter, maximum gain and cut off frequency. (Hint : The system can be tested by computing frequency response of the...
1. Determine forced and natural response for the following equation, where y[-1] =1, y[-2]=1 and x[n]...
1. Determine forced and natural response for the following equation, where y[-1] =1, y[-2]=1 and x[n] = delta[n]. y[n]+1/2 y[n-1] -1/4 y[n-2] = x[n] 2. find the impulse response of the system described below y[n]=1/2 y[n-1] + 2x[n]  
Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z...
Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z = -1
2. For the curve y = 3x / x^2-1 determine each of the following and use...
2. For the curve y = 3x / x^2-1 determine each of the following and use all of the information to draw its graph and notate the information on it. (a) Find the domain of the function, as well as any x or y intercepts and symmetry. (b) Find all vertical (2 of them) and horizontal (1) asymptotes. Support your work with limits. (c) Use the first derivative to determine the maximums, minimums and intervals of increase/decrease of f(x). (d)...
Number Theory Exercise 1 Prove that the equation 3x^2 + 2 = y^2 has no solution...
Number Theory Exercise 1 Prove that the equation 3x^2 + 2 = y^2 has no solution (x, y) ∈ Z × Z. (Hint: consider the associated congruence modulo 3.) Exercise 2 Prove that the equation 7x^3 + 2 = y^3 has no solution (x, y) ∈ Z × Z. (Hint: consider the associated congruence modulo 7.)
solve the d.e. equation using Laplace inverse transform y'-y = xex, y(0)=0
solve the d.e. equation using Laplace inverse transform y'-y = xex, y(0)=0
Find the general solution for differential equation x^3y'''-(3x^2)y''+6xy'-6y=0, y(1)=2, y'(1)=1, y''(1)=-4  
Find the general solution for differential equation x^3y'''-(3x^2)y''+6xy'-6y=0, y(1)=2, y'(1)=1, y''(1)=-4  
Consider the differential equation: y'(x)+3xy+y^2=0.     y(1)=0.    h=0.1 Solve the differential equation to determine y(1.3) using: a....
Consider the differential equation: y'(x)+3xy+y^2=0.     y(1)=0.    h=0.1 Solve the differential equation to determine y(1.3) using: a. Euler Method b. Second order Taylor series method c. Second order Runge Kutta method d. Fourth order Runge-Kutta method e. Heun’s predictor corrector method f. Midpoint method
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT