5: Short-Term Statistics
- Page ID
- 47244
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- 5.1: Introduction to Short-Term Statistics
- Overview of the chapter's goals; sets definitions for amplitude, height and period of a random process that will be used throughout the chapter.
- 5.2: Central Role of the Gaussian and Rayleigh Distributions
- Relating the Central Limit Theorem to stationary and ergodic processes. Applying the Rayleigh pdf and cdf (cumulative distribution function) to a Gaussian process.
- 5.3: Frequency of Upcrossings
- Finding the frequency with which a process exceeds a given level. Includes examples of possible design applications that involve this upcrossing frequency.
- 5.4: Maxima At and Above a Given Level
- Finding the probability of a process's maximum amplitude reaching or exceeding a given level.
- 5.5: 1/N'th Highest Maxima
- Finding the 1/N'th highest maxima: determining it experimentally and approximating its value through equations.
- 5.6: 1/N'th Average Value
- Obtaining the average of the \(1/N\)'th highest peaks.
- 5.7: The 100-Year Wave - Estimate from Short-Term Statistics
- Extrapolating from short-term statistical properties to identify the largest wave expected in a large number of cycles, with real-world applications. Includes example calculation.