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FAQs on Fourier Transform - GATE Notes & Videos for Electrical Engineering - Electrical Engineering (EE)

1. What is Fourier Transform?
Ans. Fourier Transform is a mathematical technique that decomposes a function into its constituent frequencies. It converts a time-domain signal into a frequency-domain representation, revealing the different frequencies that make up the signal.
2. How does Fourier Transform work?
Ans. Fourier Transform works by representing a function as a sum of sine and cosine waves of different frequencies. It decomposes the function into its constituent frequencies by calculating the amplitude and phase of each frequency component.
3. What are the applications of Fourier Transform?
Ans. Fourier Transform has various applications in signal processing, image processing, communications, and many other fields. It is used for analyzing and filtering signals, compressing data, solving differential equations, and understanding the frequency content of a given signal.
4. Are there any limitations of Fourier Transform?
Ans. Yes, Fourier Transform has some limitations. It assumes that the function being transformed is periodic and infinite, which might not always hold true in real-world scenarios. It also assumes that the function is stationary, meaning it does not change over time.
5. What is the difference between Fourier Transform and Fast Fourier Transform (FFT)?
Ans. Fourier Transform is a mathematical algorithm that calculates the frequency components of a signal, while Fast Fourier Transform (FFT) is an efficient implementation of the Fourier Transform. FFT reduces the computational complexity of Fourier Transform, making it more practical for real-time applications.
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