Symbols:Real Analysis/Convolution Integral
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Convolution Integral
- $\map f t * \map g t$
Let $f$ and $g$ be real functions which are integrable.
The convolution integral of $f$ and $g$ is defined as:
- $\ds \map f t * \map g t := \int_{-\infty}^\infty \map f u \map g {t - u} \rd u$
The $\LaTeX$ code for \(\map f t * \map g t\) is \map f t * \map g t
.
Also see
- Symbols:Real Analysis/Convolution of Real Sequences
- Symbols:Real Analysis/Cross-Correlation Integral
Sources
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Frontispiece
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Chapter $4$: Notation for some useful Functions: Summary of special symbols: Table $4.1$ Special symbols
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Inside Back Cover