310-2 If one exists, determine a real input x[n] that will cause resonance in the causal LTID sys...
uestion A causal, linear time-invariant system is excited with an input x (n) described as x(n) 3u(n) with the output y(n) of the system as follows: 7l n) -2"u(n) y(n)- a) Determine z-transform X(z) and Y (z) (4 marks) b) Determine the transfer function H(z). (3 marks) Based on (b), determine the impulse response h(n). Based on (b), sketch the z-plane for the transfer function of the system Based on (d), determine the stability of the system and discuss the...
Q8) Consider the following causal linear time-invariant (LTI) discrete-time filter with input x[n] and output y[n] described by bx[n-21- ax[n-3 for n 2 0, where a and b are real-valued positive coefficients. A) Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter? Why? B) What are the initial conditions and their values? Why? C) Draw the block diagram of the filter relating input x[n] and output y[n] D) Derive a formula for the transfer function in...
- A causal system has input x[n] and output y[n]. Use the transfer function to determine the impulse response of this system. (a) x[n] = [[n]+} \n - 1]- 38[n – 20, x[n] = [[n] - [n – 1] (b) x[n] = (-3)" u[n], y[n] = 4(2)"u[n] – (7)" u[n]
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Q1(b). Given the following difference equation: y(n) + y(n-1) + 0.25y(n-2) = x(n)-0.4x(n-1). (1) Determine the transfer function representing the LTID system. (2) Determine the output of the LTID system for the input x (n) (0.4)nu(n).
Consider an LTID svstem with system function H[2] b07-9716 (a) Determine the constant bo so that the system 5.6-9 2+1 frequency response at S--п is-1 (b) Accurately sketch the system poles and zeros. (c) Using the locations of the system poles and zeros, sketch lHle'sıl over 0 < Ω < 2π. (d) Determine the response y[n] to the input x(n] = (-1 +j) +j" + (1-j) sin(Tn + 1). (e) Draw an appropriate block diagram representation of this system
Consider...
Problem 2: Find the impulse response h(n) of a causal LTI system if the input x(n) and the output y(n) are given as follows 72 42)un-1) y(n)-G)na(n) xnun)
FE x[n] -1 4. Given a causal LTI system as shown in the signal flow graph above where the coefficien t r is real: (a) Determine the system function, H (z). (5) (b) Determine a minimum multiply I/O difference equation. (5) (c) Is the system linear phase? Yes or No and why! (10) FE-5 5/13/2019 EENG751
FE x[n] -1 4. Given a causal LTI system as shown in the signal flow graph above where the coefficien t r is real:...
A causal and stable LTI system has the property that:
〖(4/5)〗^n u(n) →n 〖(4/5)〗^n u(n)
Determine the frequency response H(e^jω) for the system.
Determine a difference equation relating any input x(n) and
the corresponding output y(n).
Question 3:[4 Marks] A causal and stable LTI system has the property that: 4 4 a) Determine the frequency response H(e/ø) for the system. b) Determine a difference equation relating any input x(n) and the corresponding output y(n)