For a system with the difference equation: y[n] = -2y[n-1] + x[n] + 2x[n-2], find
a.The impulse response
b.The step response
For a system with the difference equation: y[n] = -2y[n-1] + x[n] + 2x[n-2], find a.The...
A discrete-time system has a difference equation given by y(n) = y(n-1) - 2y(n-2) + x(n) + 2x(n-1) + x(n-2). (a) Find h(n) using iteration. (b) Find the system's z-transfer function H(z). (c) Assume x(n) = δ(n) - 2δ(n-1) + 3δ(n-2). Find y(3) using any method you like. (d) Is this system a FIR or IRR system? How can you tell?
1) A causal discrete-time system is described by the difference equation, y(n) = x(n)+3x(n-1)+ 2x(n-4) a) What is the transfer function of the system? b) Sketch the impulse response of the system
3.21. Given a filter described by the difference equation y[n] = 2x[n] + 3x[n - 1] + 2x[n - 2] where x[n] is the input signal and y[n] is the output signal. (a) Find and plot h[n] the impulse response of the filter. (b) find and plot H(Ω).
For the following difference equation, y[n] =x[n + 1]+ x[n] + x[n – 1] a. Find the frequency response and phase angle. b. Sketch the impulse response C. Is this system causal or non-causal?
Problem 2 Given is the LCC difference equation that represents some LTI system: y(n)y(n 2) = x(n) +;x(n- 1) 2 Draw a Direct- I and Direct Il block diagram representations of the system Find the impulse response of the system a) b)
calculate the unit step response of a system with the difference equation y[n]+1.5y[n-2]=x[n]-x[n-1], y[-1]=2 ,y[-2]=1
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation 3y[n] – 7y[n – 1] + 2y[n – 2] = 3x[n] – 3x[n – 1] (2.1) The fact that sequences x[ ] and y[ ] are in input-output relation and satisfy (2.1) does not yet determine which LTI system. a) We assume each possible input sequence to this system has its Z-transform and that the impulse response of this system also has its Z-transform. Express the...
a causal discrete time LTI system is implemented using the difference equation y(n)-0.5y(n-1)=x(n)+x(n-1) where x(n) is the input signal and y(n) the output signal. Find and sketch the impulse response of the system
A causal LTI system is characterized by : y[n] - 3/4 y[n-1] + 1/8 y[n-2] =2x[n]. (a) Find the impulse response h[n] of this system (b) Find the response of the system to input x[n] = (1/4)^n * u[n]
For the LTI system with the difference equation y[n] = 0.25x[n] +0.5x[n-1] + 0.25x[n-2] a. Find the impulse response h[n] (this is y[n] when x[n] = δ[n] ) b. Find the frequency response function H(?^?ω). Your result should be in the form of A(?^?θ(?) )[cos(αω)+β]. Specify values for A, ?(?), α,and β c. Evaluate H(?^?ω) for ω = π , π/2 , π/4, 0, -π/4, - π/2, -π d. Plot H(?^?ω) in magnitude and phase for –π < ω <...