傅里叶变换的英文
Fourier Transform
The Fourier transform is a mathematical operation that decomposes a signal into its constituent frequencies and represents it as a sum of complex sinusoids. It is used to analyze the frequency content of signals, apply frequency-domain filtering, and explore the fundamentals of signal processing. The Fourier transform is a fundamental tool in physics, engineering, and mathematics.
The Fourier transform is named after the French mathematician and physicist Joseph Fourier. He developed the technique to analyze heat transfer problems in the 19th century. It was later generalized to other types of signals and is now ubiquitous in signal processing and communications.
The Fourier transform takes a signal in the time domain and decomposes it into its constituent frequencies. This process is known as frequency analysis. The Fourier transfor
m is computationally efficient and can be implemented on digital computers. It is used to study the frequency components of signals and build filters that can remove unwanted frequencies from a signal.
The Fourier transform can also be used to reconstruct a signal from its frequency components. This process is known as frequency synthesis. The Fourier transform is used to synthesize sounds, synthesize images, and to build digital filters.
transform英文 In addition to being used in signal processing, the Fourier transform is used in physical processes, such as heat transfer and optics.。
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