Question

Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given blo

0 0
Add a comment Improve this question Transcribed image text
Answer #1

3 x(2) 乙 3式

Add a comment
Know the answer?
Add Answer to:
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the giv...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. T...

    Problem #1. Topics: Z Transform Find the Z transform of: x[n]=-(0.9 )n-2u-n+5] X(Z) Problem #2. Topics: Filter Design, Effective Time Constant Design a causal 2nd order, normalized, stable Peak Filter centered at fo 1000Hz. Use only two conjugate poles and two zeros at the origin. The system is to be sampled at Fs- 8000Hz. The duration of the transient should be as close as possible to teft 7.5 ms. The transient is assumed to end when the largest pole elevated...

  • Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer func...

    Thanks Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks) Question 3 a)...

  • A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] –...

    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...

  • Problem 3. The input and the output of a stable and causal LTI system are related...

    Problem 3. The input and the output of a stable and causal LTI system are related by the differential equation dy ) + 64x2 + 8y(t) = 2x(t) dt2 dt i) Find the frequency response of the system H(jw) [2 marks] ii) Using your result in (i) find the impulse response of the system h(t). [3 marks] iii) Find the transfer function of the system H(s), i.e. the Laplace transform of the impulse response [2 marks] iv) Sketch the pole-zero...

  • 2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the ...

    2-If X1(z)Find the Z-Transform of X2[x]-X, ln +3]u[n] Find theZ-Transform of X211 ( I-hind the Inverse Z-transform of given function. a) R(Z) =- (1-e") (-(z-e-ar) 3 +282+8-1 b) F (Z) = (2-2)2(2+2) Find the Z-Transform of X2 [x] = X1 [n + 3] u [n] 3- Solve the difference equation 3 4 With initial conditions y-1] 1 and yl-2] 3 4- Let the step response of a linear, time-invariant, causal system be 72 3) ulnl 15 3 a) Find the...

  • (a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the outp...

    (a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...

  • 3. A digital filter is described by the difference equation where u[n] represents the unit step...

    3. A digital filter is described by the difference equation where u[n] represents the unit step sequence. The initial conditions of the system are y[-1] = 0 and y[-2] = 1. (a) Draw a block diagram implementation of the above system. (b) Determine the output y[n] (c) Determine the zero-input solution. (d) Determine the zero-state solution. (e) Is the system stable? Justify your answer

  • Problem 3: Consider an IIR filter described by the difference equation (a) What is the system...

    Problem 3: Consider an IIR filter described by the difference equation (a) What is the system function H(a) of this fiter? [5 points) (b) Determine the zeros and poles of the system and sketch the zero-pole plot in z-plane. 5 points (c) Plot the block diagram of this IIR filter. [10 points (d) Given the input zfn-cos(mn/3) + 2δ[n] + 5in-11, determine the output yln. 15 points

  • (2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n)...

    (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...

  • QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation....

    QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue fiter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/'s). Express the digital transfer function of the filter H(z) as: In the box below, provide the numerical answer for b1. [Note: Don't normalise the transfer func on, i.e. b0 # 1). r98111acontentid1837836_1&step QUESTION 7 Windowing based FIR filter design techniques...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT