A new and natural proof to both the arcsine law and a related result
1994; Taylor & Francis; Volume: 76; Issue: 6 Linguagem: Inglês
10.1080/00207219408926020
ISSN1362-3060
Autores Tópico(s)Ultra-Wideband Communications Technology
ResumoNew and natural proof are proposed for both the arcsine law and a related result. Both results are of extreme practical importance. The arcsine law and its related result naturally emerge when studied against their most natural backdrop provided by a detailed multi-bit quantization, already carried out in a multi-dimensional (m-D) setting. We also show that amongst the whole class of 1-bit uniform quantizers treated in this paper, the only practically-useful member for which both the arcsine law and its related result hold is the mid-riser (i.e. with no dead zone) type of quantizer, upon which the well-known relay and polarity-coincidence correlators are based.
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