For the following causal difference equation, given that y[-1] = 2, y[-2] = 3, and x[n]...

For the following causal difference equation,
given that y[-1] = 2, y[-2] = 3, and x[n] = 3ⁿu[n], solve using z-Transforms.
(Hint: convert to delay operator form, find the z-Transform, use PFE to find the inverse z-Transform)

y[n + 2] – 3y[n + 1] + 2y[n] = x[n + 1]

Expert Solution

I hope its helpful for you..

Thank you..

Manojponduru answered 3 months ago

For the following causal difference equation, given that y[-1] = 0, y[-2] = 1, and x[n]...

For the following causal difference equation, given that y[-1] = 0, y[-2] = 1, and x[n] = u[n], solve using z-Transforms. (Hint: convert to delay operator form, find the z-Transform, use PFE to find the inverse z-Transform) 4y[n + 2] + 4y[n + 1] + 2y[n] = x[n + 1]

Given a difference equation x[n+2] + 5x[n+1]+6x[n]=n with start values x[0]= 0 and x[1]=0

A 5th filter is described by the difference equation: 2y(n)=2 x(n)+7 x(n-1)+3 x(n-2)-8 x(n-3)+ x(n-4)-8 x(n-5)+7...

A 5th filter is described by the difference equation: 2y(n)=2 x(n)+7 x(n-1)+3 x(n-2)-8 x(n-3)+ x(n-4)-8 x(n-5)+7 y(n-1)-3 y(n-2)+5y(n-3)- y(n-4) Determine the frequency response. Plot the magnitude and the phase response of this filter. Consider the plot -π≤w≤π for 501 points. Describe the magnitude response (Low pass filter, High Pass filter, etc.) Determine the system stability. Determine the impulse response h(n). You may set the period to -100≤n≤100 Determine the unit step response for -100≤n≤100 . (Matlab)

Given the surface x= (3 (y-1)^2)+ (2 (z+ 3)^2)+ 7. Find an equation of the tangent...

Given the surface x= (3 (y-1)^2)+ (2 (z+ 3)^2)+ 7. Find an equation of the tangent plane at the point(12,2,2) in four ways: a) By using the surface as given,x=h(y,z) b) By writing the surface as z=f(x,y)(only keep the square root whose sign corresponds to the point(12,2,2)). c) By writing the surface as y=g(x,z)(only keep the square root whose sign corresponds to the point(12,2,2)).

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]

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1,...

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1, evaluate your DFT X(k)

Given the utility function U ( X , Y ) = X 1 3 Y 2...

Given the utility function U ( X , Y ) = X 1 3 Y 2 3, find the absolute value of the MRS when X=10 and Y=24. Round your answer to 4 decimal places.

Determine where the system is 1) linear 2) causal 3) stable and 4) time-invariant. a)y(n)= nx(n)...

Determine where the system is 1) linear 2) causal 3) stable and 4) time-invariant. a)y(n)= nx(n) b) y(n)=x square(n)

Consider the following equation: (3 − x^2 )y'' − 3xy' − y = 0 Derive the...

Consider the following equation: (3 − x^2 )y'' − 3xy' − y = 0 Derive the general solution of the given differential equation about x = 0. Your answer should include a general formula for the coefficents.

For each of the following difference equations (i) y[n + 1] + 1.5y[n] = x[n] (ii)...

For each of the following difference equations (i) y[n + 1] + 1.5y[n] = x[n] (ii) y[n + 1] + 0.8y[n] = x[n] (iii) y[n + 1] - 0.8y[n] = x[n] For the difference equations given in Problem 2.16: (a) Find a closed-form solution for y[n] when x[ n] = 0 for all n and y[0] 2. (b) Find a closed-form solution for y[n] when x[n] = u[n] and y[ 0] = 0. (c) Find a closed-form solution for y[n]...

Question