Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  The characteristic ecjuation of a linear tirn... Start Learning for Free
The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:
F(z) = anzn + an - 1 zn - 1 + .......... + az + a0 = 0
where all the coefficients are real.
According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jury's stability criterion"?
  • a)
    |a0| > |an|
  • b)
    F (1) > 0
  • c)
    F(-1) > 0 (if n = even integer)
  • d)
    F(-1) < 0 (if n = odd integer)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The characteristic ecjuation of a linear tirne-invariant discrete-data...
The necessary conditions for stability are: F (1) > 0
F(-1) > 0, if n = even integer
F(-1) < 0, if n = odd integer
and |a0| < |an|
View all questions of this test
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer?
Question Description
The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer?.
Solutions for The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The characteristic ecjuation of a linear tirne-invariant discrete-data system is given by:F(z) = anzn+ an - 1 zn - 1+ .......... + a1z + a0 = 0where all the coefficients are real.According to “Jury’s stability criterion”, there are certain necessary conditions which must be satisfied for the above discrete-data system to have no roots on or outside the unit circle. Which of the following necessary condition does not holds true for the discrete-data system to have all roots inside the unit circle according to “Jurys stability criterion"?a)|a0|> |an|b)F (1) > 0c)F(-1) > 0 (if n = even integer)d)F(-1) < 0 (if n = odd integer)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev