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The transfer function of a discrete time LTI system is given by<br>$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$<br>Consider the following statements:<br>S<sub>1</sub> : The system is stable and causal for<br>$$ROC:\left| z \right| &gt; {1 \over 2}$$<br>S<sub>2</sub> : The system is stable but not causal for<br>$$ROC:\left| z \right| S<sub>3</sub> : The system is neither stable nor causal for<br>$$ROC:{1 \over 4} Which one of the following statements is valid?

Correct Answer: Both S<sub>1</sub> and S<sub>3</sub> are true

A stable linear time invariant (LTI) system has a transfer function $$H\left( s \right) = {1 \over {{s^2} + s - 6}}.$$    To make this system causal it needs to be cascaded with another LTI system having a transfer function H1(s). A correct choice for H1(s) among the following options is

Let h(t) denote the impulse response of a causal system with transfer function $${1 \over {s + 1}}.$$  Consider the following three statements:
S1 : The system is stable.
S2 : $${{h\left( {t + 1} \right)} \over {h\left( t \right)}}$$  independent of t for t > 0.
S3 : A non-causal system with the same transfer function is stable.
For the above system,

Each item consists of six sentences of a passage. The first and sixth sentences are given in the beginning as S1 and S6. The middle four sentences in each have been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet. S1 : He no longer dreamed of storms, nor of women, nor of great occurrences, nor of great fish, nor fights, nor contests of strength, nor of his wife.

S6 : He urinated outside the shack and then went up the road to wake the boy.

P : He never dreamed about the boy.

Q : He only dreamed of places and of the lions on the beach now.

R : He simply woke, looked out through the open door at the moon and unrolled his trousers and put them on.

S : They played like young cats in the dusk and he loved them as he loved the boy.

The correct sequence should be

Consider the following statements for continuous-time linear time invariant (LTI) systems.
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?

Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Signal Processing mcq question image
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. According to the author, God is not looking for _____ to manifest his works.

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. What is that which only the person himself knows and must act in order to discover it?

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. When is a man relieved and gay?

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. Which of the following does the author appear to highlight in this essay?

Read the passage carefully and choose the best answer to each question out of the four alternatives andclick the button corresponding to it.
There is a time in every man's education when he arrives at the conviction that envy is ignorance; that imitation is suicide; that he must take himself for better, forworse, as his portion; that though the wide universe is full of good, no kernel of nourishing corn can come to him but through his toil bestowed on that plot of groundwhich is given to him to till. The power which resides in him is new in nature, and none but he knows what that is which he can do, nor does he know until he hastried. Not for nothing one face, one character, one fact, makes much impression on him, and another none. This sculpture in the memory is not without pre-established harmony. The eye was placed where one ray should fall, that it might testify of that particular ray. We but half express ourselves, and are ashamed ofthat divine idea which each of us represents. It may be safely trusted as proportionate and of good issues, so it be faithfully imparted, but God will not have his workmade manifest by cowards. A man is relieved and gay when he has put his heart into his work and has done his best; but what he has said or done otherwise, shallgive him no peace. It is a deliverance which does not deliver. In the attempt his genius deserts him; no muse befriends; no invention, no hope. What does the word 'Manifest' mean?