Posterior distribution for the pulse width modulation of a square wave conditional on digital measurements of its on-off components
Degree GrantorUniversity of Canterbury
Degree NameResearch report
We derive an exact formulation of the posterior density and distribution of the pulse width modulation of a square wave, produced by an electronic sensor monitored by digital counts of a vibrating crystal. The density is a differentiable rational function, with nodes at which its second derivative is discontinuous. As a result, the distribution function mimics a "constant jolt" system. The posterior is based upon prior assertions that exemplify the theory of precise measurement. The analysis provides an extremely complicated application of elementary arguments in the theory of multiple integration of transformed functions over the unit-cube. All algebraic detail is generated by MAPLE programming.
SubjectsField of Research::01 - Mathematical Sciences::0105 - Mathematical Physics
- Engineering: Reports