Fa 2004 Ch 1 lecture 2

Fa 2004 Ch 1 lecture 2 - Linear Systems and Signals Systems...

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Systems exist all around us, in many different forms. Some systems include: Transducer – transform signals from one form to another (voltage to acoustic) Filter – remove noise or undesired frequencies from signals amplifier – increase or decrease amplitude of a signal motors, generators, modulator, demodulator, mixer In EE 3120 systems will be modeled as a “black box”. System i input signals, excitation, or cause k output signals, response, or effect () i x t k yt Linear Systems and Signals Systems
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Systems A signal can be applied or measured at any terminal, input or output. The contents or structure of the black box may or may not be known, and can be found by observation or derivation using the physical laws of the system. Ex. Circuits can be modeled mathematically using Kirchoff’s laws. Multiply by: 2 12 R RR + x ( t ) () yt + - There are three main areas of system study: mathematical modeling analysis Design This course will mainly deal with analysis, but will also cover mathematical modeling. Designing systems is left for future courses.
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Classification of Systems SISO – single input single output system (this course) MIMO – multiple input multiple output system (other courses) Results of SISO systems can be easily applied to MIMO systems Systems can also be classified as: causal or noncausal lumped or distributed linear or nonlinear time invariant or time varying instantaneous (no memory) or dynamic analog or digital stable or unstable invertible or nonivertible C-T system accept C-T signals and generates C-T signals D-T system accept D-T signals and generates D-T signals
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Classification of Systems Linear and nonlinear systems: A system whose output is proportional to its input is one kind of system that is linear. Linear systems in general satisfy two properties, additivity and homogeneity. Homogeneity: Additivity: If 11 2 2 12 and xy xx yy →→ +→+ and xx x y kx ky Then for all real or imaginary k If Then for all These properties can be combined into one property called superposition and kx ky k y Then for all real or imaginary k’s If
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This note was uploaded on 02/06/2012 for the course EE 2120 taught by Professor Aravena during the Fall '08 term at LSU.

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Fa 2004 Ch 1 lecture 2 - Linear Systems and Signals Systems...

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