Simple derivation of the thermal noise formula using window-limited Fourier transforms and other conundrums
Bibliographic Data
| ID | 20295246 |
|---|---|
| Authors | Derek Abbott (0000-0002-0945-2674, The University of Adelaide), B R Davis (0000-0002-5542-5909, The University of Adelaide), N J Phillips (Loughborough University), Kamran Eshraghian (Edith Cowan University) |
| Year | 1996 |
| Volume | 39 |
| Issue | 1 |
| Pages | 1-13 |
| Publication date | 1996-01-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | IEEE Transactions on Education (JOURNAL) |
| Journal identifiers | ISSN: 0018-9359 • E-ISSN: 1557-9638 |
| Publisher | Institute of Electrical and Electronics Engineers (IEEE) (PUBLISHER) |
| DOI | 10.1109/13.485226 |
| OpenAlex | W2121593878 |
| Language | EN |
| References cited | 34 |
A simple theoretical derivation for obtaining the Johnson thermal noise formula using window-limited Fourier transforms is presented in detail for the first time, utilizing the well-known energy theorems. In the literature, a diverse range of alternative methods already exist, and the pedagogical value of the Fourier transform approach illustrates useful mathematical principles, taught at the undergraduate level, naturally highlighting a number of physical assumptions that are not always clearly dealt with. We also proceed to survey a number of misconceptions, problems, surprises, and conundrums concerning thermal noise
Algorithm · Calculus (dental) · Energy (signal processing) · Fourier transform · Image (mathematics) · Mathematical analysis · Noise (video) · Range (aeronautics) · Simple (philosophy) · Spectral density · Statistics · Telecommunications · Value (mathematics) · Window (computing) · Window function · Advanced Thermodynamics and Statistical Mechanics · Artificial Intelligence · Computer Science · Engineering · Mathematics · Quantum Information and Cryptography · Quantum Mechanics and Applications
| Highly cited | No |
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