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Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.
Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.
Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.
- a)Both A and R are true and R is correct explanation of A
- b)Both A and R are true and R is not correct Explanation of A
- c)A is True and R is false
- d)A is False and R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): Z-transform is used to analyze discrete time systems an...
Explanation: Z-transform is used to convert the discrete time systems into the z domain and it is also called pulsed transfer function approach that is justified only at the sampling instants.
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Assertion (A): Z-transform is used to analyze discrete time systems an...
Assertion (A): The Z-transform is used to analyze discrete-time systems, and it is also called the pulsed transfer function approach.
Reason (R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous-time signal at the sampling instants.
Explanation:
The Z-transform is a mathematical tool used to analyze discrete-time systems in the field of signal processing and control systems. It is the discrete-time counterpart of the Laplace transform, which is used for continuous-time systems.
The Z-transform is often used to analyze the behavior of discrete-time signals and systems in the frequency domain. It provides a way to represent discrete-time signals as polynomials in the complex variable z, where z can be any complex number. By applying the Z-transform to a discrete-time signal, we can obtain its representation in the Z-domain, which allows us to analyze its frequency content and other properties.
Assertion (A): The statement that the Z-transform is used to analyze discrete-time systems is true. It is a widely used tool in the field of signal processing and control systems for the analysis and design of discrete-time systems.
Reason (R): The statement that the sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous-time signal at the sampling instants is also true. This assumption is based on the concept of sampling, where a continuous-time signal is converted into a discrete-time signal by taking samples at regular intervals. Each sample is represented by an impulse whose magnitude is equal to the value of the continuous-time signal at the sampling instant.
The Z-transform provides a way to mathematically represent this relationship between the continuous-time signal and the discrete-time samples. By applying the Z-transform to the sampled signal, we can obtain its representation in the Z-domain, which allows us to analyze its frequency content and other properties.
Conclusion: Both the assertion (A) and the reason (R) are true, and the reason (R) provides a correct explanation for the assertion (A). The Z-transform is indeed used to analyze discrete-time systems, and the assumption of a train of impulses represents the relationship between the continuous-time signal and the discrete-time samples.
Reason (R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous-time signal at the sampling instants.
Explanation:
The Z-transform is a mathematical tool used to analyze discrete-time systems in the field of signal processing and control systems. It is the discrete-time counterpart of the Laplace transform, which is used for continuous-time systems.
The Z-transform is often used to analyze the behavior of discrete-time signals and systems in the frequency domain. It provides a way to represent discrete-time signals as polynomials in the complex variable z, where z can be any complex number. By applying the Z-transform to a discrete-time signal, we can obtain its representation in the Z-domain, which allows us to analyze its frequency content and other properties.
Assertion (A): The statement that the Z-transform is used to analyze discrete-time systems is true. It is a widely used tool in the field of signal processing and control systems for the analysis and design of discrete-time systems.
Reason (R): The statement that the sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous-time signal at the sampling instants is also true. This assumption is based on the concept of sampling, where a continuous-time signal is converted into a discrete-time signal by taking samples at regular intervals. Each sample is represented by an impulse whose magnitude is equal to the value of the continuous-time signal at the sampling instant.
The Z-transform provides a way to mathematically represent this relationship between the continuous-time signal and the discrete-time samples. By applying the Z-transform to the sampled signal, we can obtain its representation in the Z-domain, which allows us to analyze its frequency content and other properties.
Conclusion: Both the assertion (A) and the reason (R) are true, and the reason (R) provides a correct explanation for the assertion (A). The Z-transform is indeed used to analyze discrete-time systems, and the assumption of a train of impulses represents the relationship between the continuous-time signal and the discrete-time samples.
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Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect answer is option 'A'. Can you explain this answer?
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Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect 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 Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect 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 Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice Assertion (A): Z-transform is used to analyze discrete time systems and it is also called pulsed transfer function approach.Reason(R): The sampled signal is assumed to be a train of impulses whose strengths, or areas, are equal to the continuous time signal at the sampling instants.a)Both A and R are true and R is correct explanation of Ab)Both A and R are true and R is not correct Explanation of Ac)A is True and R is falsed)A is False and R is trueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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