
2021Brubaker, Phil  Optimum Matched Filter Design (Transfer Function)
26 Mar 2021  Contributor(s):: Phil B Brubaker
Optimum Matched Filter (Transfer Function)(Nested Processes ... Each Process controlled by a Solver)Problem DescriptionThe transfer function H(s) is the Laplace transform of the output signal Yout(s)* divided by the Laplace transform of the input signal Yin(s)*: that is H(s)= ...

7011TextSCoupledSystemLaplace
31 Mar 2019   Contributor(s):: Mitaxi Pranlal Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

7020SThermometerInVaryingTempStream
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

7005STextLaplaceTransformOverview
06 Jun 2015   Contributor(s):: Brian Winkel
The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here. This is done in a Mathematica notebook with pdf provided.

2007Myers, Joseph and Brian Winkel  Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions
31 May 2015   Contributor(s):: Joseph Myers, Brian Winkel
From Myers, Joseph and Brian Winkel. 2007. Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions. The UMAP Journal, 28(1): 1526.We discuss the introduction, student discovery, and teaching of a system of differential...