fourier series (Meaning)
Wordnet
fourier series (n)
the sum of a series of trigonometric expressions; used in the analysis of periodic functions
Synonyms & Antonyms of fourier series
No Synonyms and anytonyms found
fourier series Sentence Examples
- The Fourier series represents a periodic function as a sum of sine and cosine functions with different frequencies.
- Fourier analysis uses Fourier series to decompose signals into their frequency components.
- The coefficients of the Fourier series are determined by the shape of the original function.
- The convergence of a Fourier series depends on the smoothness of the function it represents.
- Gibbs phenomenon refers to the overshoot near discontinuities in the Fourier series representation.
- The Fourier series can be used for solving partial differential equations and other mathematical problems.
- Medical imaging techniques such as MRI utilize the Fourier transform to process signals.
- Fourier series is essential in signal processing for filtering and noise reduction.
- The study of Fourier series is a fundamental aspect of communication systems.
- Electrical engineers use Fourier series to analyze circuits and design electronic filters.
FAQs About the word fourier series
the sum of a series of trigonometric expressions; used in the analysis of periodic functions
No synonyms found.
No antonyms found.
The Fourier series represents a periodic function as a sum of sine and cosine functions with different frequencies.
Fourier analysis uses Fourier series to decompose signals into their frequency components.
The coefficients of the Fourier series are determined by the shape of the original function.
The convergence of a Fourier series depends on the smoothness of the function it represents.
