Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Fourier series analysis is a tool used to1. a...
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Fourier series analysis is a tool used to
1. analyse any periodic and non-periodic signal.
2. find how many frequency components are present in the signal.
3. find the relative phase difference between various frequency components.
4. represents a waveform in the form of sum of infinite number of exponential terms.
5. find the amplitude of various terms in the series.
Which of the statements given above are correct?
1. analyse any periodic and non-periodic signal.
2. find how many frequency components are present in the signal.
3. find the relative phase difference between various frequency components.
4. represents a waveform in the form of sum of infinite number of exponential terms.
5. find the amplitude of various terms in the series.
Which of the statements given above are correct?
- a)2, 5 and 3
- b)1, 3 and 4
- c)1, 2 and 3
- d)2, 3 and 5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Fourier series analysis is a tool used to1. analyse any periodic and n...
Fourier series analysis is a tool used to
1. analyse any periodic signal only.
2. find how many frequency components are present in the signal.
3. find the relative phase difference between various frequency components.
4. represents a periodic waveform in the form of sum of infinite number of sine and cosine terms.
5. find the amplitude of various frequency components of the series.
Hence, statements 2, 3 and 5 are only correct.
1. analyse any periodic signal only.
2. find how many frequency components are present in the signal.
3. find the relative phase difference between various frequency components.
4. represents a periodic waveform in the form of sum of infinite number of sine and cosine terms.
5. find the amplitude of various frequency components of the series.
Hence, statements 2, 3 and 5 are only correct.
Most Upvoted Answer
Fourier series analysis is a tool used to1. analyse any periodic and n...
Understanding Fourier Series Analysis
Fourier series is a mathematical tool primarily used for analyzing periodic signals. It decomposes a complex periodic function into a series of simple sine and cosine functions, allowing for analysis of various properties of the signal. Let’s explore the correctness of each statement provided.
1. Analyse any periodic and non-periodic signal
- This statement is incorrect. Fourier series specifically applies to periodic signals. Non-periodic signals are better analyzed using the Fourier transform.
2. Find how many frequency components are present in the signal
- This statement is correct. Fourier series allows us to determine the different frequency components present in a periodic signal by identifying the coefficients associated with each term in the series.
3. Find the relative phase difference between various frequency components
- This statement is correct. The phase information is contained in the complex coefficients of the Fourier series, enabling the calculation of phase differences between frequency components.
4. Represents a waveform in the form of sum of infinite number of exponential terms
- This statement is incorrect in the context of Fourier series. While Fourier series can be represented using complex exponentials, it does not represent signals as an infinite sum of only exponential terms; it primarily uses sine and cosine functions.
5. Find the amplitude of various terms in the series
- This statement is correct. The coefficients obtained from the Fourier series give the amplitude of the respective frequency components.
Conclusion
Based on the analysis, the correct statements are 2, 3, and 5. Therefore, the correct answer is option D.
Fourier series is a mathematical tool primarily used for analyzing periodic signals. It decomposes a complex periodic function into a series of simple sine and cosine functions, allowing for analysis of various properties of the signal. Let’s explore the correctness of each statement provided.
1. Analyse any periodic and non-periodic signal
- This statement is incorrect. Fourier series specifically applies to periodic signals. Non-periodic signals are better analyzed using the Fourier transform.
2. Find how many frequency components are present in the signal
- This statement is correct. Fourier series allows us to determine the different frequency components present in a periodic signal by identifying the coefficients associated with each term in the series.
3. Find the relative phase difference between various frequency components
- This statement is correct. The phase information is contained in the complex coefficients of the Fourier series, enabling the calculation of phase differences between frequency components.
4. Represents a waveform in the form of sum of infinite number of exponential terms
- This statement is incorrect in the context of Fourier series. While Fourier series can be represented using complex exponentials, it does not represent signals as an infinite sum of only exponential terms; it primarily uses sine and cosine functions.
5. Find the amplitude of various terms in the series
- This statement is correct. The coefficients obtained from the Fourier series give the amplitude of the respective frequency components.
Conclusion
Based on the analysis, the correct statements are 2, 3, and 5. Therefore, the correct answer is option D.
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Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer?
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Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer?.
Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer?.
Solutions for Fourier series analysis is a tool used to1. analyse any periodic and non-periodic signal.2. find how many frequency components are present in the signal.3. find the relative phase difference between various frequency components.4. represents a waveform in the form of sum of infinite number of exponential terms.5. find the amplitude of various terms in the series.Which of the statements given above are correct?a)2, 5 and 3b)1, 3 and 4c)1, 2 and 3d)2, 3 and 5Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
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