Parseval Identity of Fourier Transform Video Lecture | CSIR NET Crash Course for Physical Science - CSIR NET Physical Science

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FAQs on Parseval Identity of Fourier Transform Video Lecture - CSIR NET Crash Course for Physical Science - CSIR NET Physical Science

1. What is the Parseval Identity of Fourier Transform?
Ans. The Parseval Identity of Fourier Transform states that the energy of a signal in the time domain is equal to the energy of its Fourier transform in the frequency domain.
2. How is the Parseval Identity useful in signal processing?
Ans. The Parseval Identity is useful in signal processing as it allows for the calculation of signal energy in both the time and frequency domains, providing a way to analyze and compare signals efficiently.
3. What is the significance of the Parseval Identity in the context of CSIR NET Physical Science exam?
Ans. Understanding the Parseval Identity is crucial for scoring well in the CSIR NET Physical Science exam, as it is a fundamental concept in signal processing and Fourier analysis which are key topics in the syllabus.
4. Can the Parseval Identity be applied to all types of signals?
Ans. Yes, the Parseval Identity can be applied to all types of signals, including continuous and discrete signals, making it a versatile tool in analyzing signal properties.
5. How can one prove the Parseval Identity mathematically?
Ans. The Parseval Identity can be proven mathematically by integrating the product of a signal and its complex conjugate over time, and then integrating the product of its Fourier transform and its complex conjugate over frequency, showing that they are equal.
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