The uncertainty principle: A mathematical survey¶
Folland, G. B., & Sitaram, A. (1997). The uncertainty principle: A mathematical survey: A mathematical survey. The Journal of Fourier Analysis and Applications.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Fourier Transform
- Third, an uncertainty principle bounds the joint time-frequency concentration of \(f\) and \(\hat{f}\): a signal cannot be simultaneously localized to a short time interval and a narrow frequency band; the widths satisfy \(\sigma_t \cdot \sigma_\xi \geq \frac{1}{4\pi}\)
SupportedVerified against the source
- Third, an uncertainty principle bounds the joint time-frequency concentration of \(f\) and \(\hat{f}\): a signal cannot be simultaneously localized to a short time interval and a narrow frequency band; the widths satisfy \(\sigma_t \cdot \sigma_\xi \geq \frac{1}{4\pi}\)
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