We develop a Fourier type analysis for data consisting of many short strings \(X_{1}, X_{2}, \ldots, X_{n}\), with \(X_{i}=\left(X_{i 1}, \ldots, X_{i p}\right)\). The paper offers an approach to testing and residual analysis based on a group theoretic decomposition of the sample space. This is illu
Discrete spectral analysis of beam oscillation
β Scribed by Victor Smaluk
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 447 KB
- Volume
- 578
- Category
- Article
- ISSN
- 0168-9002
No coin nor oath required. For personal study only.
β¦ Synopsis
For a range of beam dynamics problems, high-precision measurement of frequency, amplitude and phase of a beam oscillation mode is required. The problem of extraction of oscillation modes from a series of equally time-spaced data samples is studied. Discrete Fourier Transform and methods of its refinement are analyzed in the view of accuracy limitations and applicability.
π SIMILAR VOLUMES
The linearized Vlasov-Poisson system for small amplitude plasma oscillations is studied by the method of characteristics. Integration over velocities leads to a Volterra equation which is solved by a new method using Β± Fourier representations. It is shown that for the full range of kk D , the pertur