O 0.5 Question 10 1 pts Consider a continuous-time linear system with transfer function (). To...
Problem 11: Discretization of a Continuous-Time Filter Consider the continuous-time system with transfer function Hc(s) A discrete-time approximation to the system using the [16, -8 two's complement representation scheme is to be designed (A) Using Tustin's approximation, determine a discrete-time approximation with transfer function (B) Determine the poles and zeroes of Hd,Tustin(z), noting that the poles are complex conjugates (C) Plot the frequency responses of Hd,Tustin (2) and of Hd.eract (z) Hd, Tustin (z) using the sampling time 1 ms....
discrete-time linear system with transfer function (2) (z+2) (2-0.5)(z+0.8)(z+0.9) causal and stable. This system is possibly bota O True O False Question 8 Consider the discrete-time filter with transfer function (2) z+1 2-0.95 This filter is a high-pass filter. O True O False
Give me the explanation plz 2. a) A digital controller implementation for a feedback system is shown in Figure 2 where the sampling period is T0.1 second. The plant transfer function is s +10 P(s) = and the feedback controller, K, is a simple proportional gain (K>0).v R(z) E(z) S+10 Controller ZOH Plant Figure 2* i)o In order to directly design a digital controller in the z-domain, the plant P(s) 6. needs to be discretised as P(z). Find the ZOH...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
1to Not enough information to answer D Question 7 1 pts Consider a discrete-time linear system with transfer function H(2) (2+2) (z–0.5)(z+0.8)(2+0.9) causal and stable. This system is possibly both True False
6. (15) Consider the following causal linear time-invariant (LTT) discrete-time filter with input in and output yn described by y[n] = x[n] – rn - 2 for n 20 . Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter? Why? • What are the initial conditions and their values for this causal and linear time-invariant system? Why? • Draw the block diagram of the filter relating input x[n) and output y[n] • Derive a formula for...
b) The transfer function of a causal linear time-invariant (LTI) discrete-time system is given by: 1+0.6z1-0.5z1 i Does the system have a finite impulse response (FIR) or infinite 3 impulse response (IIR)? Explain why. ii Determine the impulse response h[n] of the above system iii) Suppose that the system above was designed using the bilinear transformation method with sampling period T-0.5 s. Determine its original analogue transfer function. b) The transfer function of a causal linear time-invariant (LTI) discrete-time system...
1. (10 pts) For an image of size M x N, a filter mask used to implement the two-dimensional digital Laplacian in the spatial domain is given below. Obtain the filter transfer function H(u, v) for performing the equivalent process in the frequency domain. 0 1 0 -4 1 0 1 0
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital filter using the impulse invariance approach. Design a Butterworth low pass filter that meets the follow- ing specifications. Passband gain is atleast -2 dB and stopband attenuation is atleast -20 dB, i.e. 0.79433 lH(ejw)I l in the frequency range 0 0.2π and lH(eM)I 0.1 in the frequency range 0.4π-lal T. (a) Sketch the specifications and identify the pass band tolerance, stop band tolerance, transition, passband...
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...