rec24 - Massachusetts Institute of Technology Department of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Massachusetts Institute of Technology Department of Electrical Engineering & Computer Science 6.041/6.431: Probabilistic Systems Analysis (Fall 2010) Recitation 24 December 7, 2010 1. A blackbody at temperature radiates photons of all wavelengths, described by its characteristic spectrum. This problem will have you estimate , which is fixed but unknown. The PMF for the number of photons K in a given wavelength range and a fixed very short time interval is given by, p K ( k ; ) = 1 Z ( ) e- k/ , k = 0 , 1 , 2 , ... Z ( ) is a normalization factor for the probability distribution (the physicists call it the partition function). You are given the task of determining the temperature of the body to two significant digits by photon counting in non-overlapping time intervals of duration one second. The photon emissions in non-overlapping time intervals are statistically independent from each other....
View Full Document

Page1 / 2

rec24 - Massachusetts Institute of Technology Department of...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online