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# Lecture 2: Rubber Sheet Geometry

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Schedule :: Intro :: Inverse :: Properties :: Solution :: Transfer Functions :: System Realization :: Bilateral :: Frequency Response :: Rubber Sheet Geometry :: FIR Filters

Let us write in terms of its poles and zeros:

Consider evaluating this at a point , which is on the unit circle. We find

Let us write (polar form for the line segment connecting them), and (polar form). Then

Similarly,

Discuss filter design by pole placement, and the rubber sheet idea: poles increase the gain, zeros decrease it. Notch filter. Overhead.

Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 18). Lecture 2: Rubber Sheet Geometry. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/node9.html. This work is licensed under a Creative Commons License