202 14 Special Transformations
14.3. Consider a combat situation between Blue (x) and Red (y) forces in
which Blue is under a directed fire from Red at a rate of 0.2 Blue-units/unit-
time/Red-firer and Red is subjected to directed fire at a rate of 0.3 Red-
units/unit-time/Blue-firer plus a non-combat loss (to be treated as self di-
rected fire) at a rate of 0.1 Red-units/unit-time/Red-unit. Suppose that there
are 50 Blue and 100 Red units initially. Find the surviving Red units at times
t = 0,1,2,3,4 using the Laplace transformation.
14.4. Find the closed form solution for the Fibonacci sequence Fk+2 — -Ffe+i +
Ffc, F\ = 1, i^7. = 1 using the ^-transformation and calculate -Fioo-
Web material
http://ccrma.stanford.edu/~jos/filters/Laplace_Transform_
Analysis.html
http://claymore.engineer.gvsu.edu/~j ackh/books/model/chapters/
laplace.pdf
http://cnx.org/content/ml0110/latest/
http://cnx.org/content/ml0549/latest/
http://dea.brunel.ac.uk/cmsp/Home_Saeed_Vaseghi/Chapter04-Z-
Transform.pdf
http://dspcan.homestead.com/files/Ztran/zdiff1.htm
http://dspcan.homestead.com/files/Ztran/zlap.htm
http://en.wikipedia.org/wiki/Laplace_Transform
http://en.wikipedia.org/wiki/Z-transform
http://eom.springer.de/1/1057540.htm
http://eom.springer.de/ZZz130010.htm
http://fourier.eng.hmc.edu/el02/lectures/Z_Transform/
http://home.case.edu/"pjh4/MATH234/zTransform.pdf
http://homepage.newschool.edu/~foleyd/GEC06289/laplace.pdf
http://kwon3d.com/theory/filtering/ztrans.html
http://lanoswww.epf1.ch/studinfo/courses/cours_dynsys/extras/
Smith(2002)_Introduction_to_Laplace_Transform_Analysis.pdf
http://lorien.ncl.ac.uk/ming/dynamics/laplace.pdf
http://math.fullerton.edu/mathews/c2003/ztransform/ZTransformBib/
Links/ZTransformBib_lnk_3.html
http://math.fullerton.edu/mathews/c2003/ZTransformBib.html
http://math.ut.ee/~toomas_l/harmonic_analysis/Fourier/node35.html
http://mathworld.wolfram.com/LaplaceTransform.html
http://mathworld.wolfram.com/Z-Transform.htm
http://mywebpages.comcast.net/pgoodmann/EET357/Lectures/Lecture8.ppt
http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-
Science/6-003Fall-2003/LectureNotes/
http://phyastweb.la.asu.edu/phy501-shumway/notes/lec20.pdf
http://planetmath.org/encyclopedia/LaplaceTransform.html
http://umech.mit.edu/weiss/PDFfiles/lectures/lecl2wm.pdf
http://umech.mit.edu/weiss/PDFfiles/lectures/lec5wm.pdf