Simple derivation of the thermal noise formula using window-limited Fourier transforms and other conundrums

@article{Abbott1996SimpleDO,
  title={Simple derivation of the thermal noise formula using window-limited Fourier transforms and other conundrums},
  author={D. Abbott and B. Davis and N. Phillips and K. Eshraghian},
  journal={IEEE Transactions on Education},
  year={1996},
  volume={39},
  pages={1-13}
}
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… Expand

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