basicsys_06 - Basic Properties Of Systems Definition Of A...

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Basic Properties Of Systems Definition Of A System A system transforms one set of signals (inputs) into another set of signals (outputs). Mathematical Description Of Systems Mathematically a system can be represented as a transformation in any of the following forms. : or simply [] T Tx y xy yTx →→ = Here x can be signal x(t) or x(n) and y can be a signal y(t) or y(n) . For multiple input and multiple output systems, the inputs and outputs are arrays of signals. The transformation represents the system. Engineering Description Of Systems Engineers generally represent the system by a box as shown below Systems are characterized by the properties of the transformation, T, and the types of inputs and outputs, x and y . The simplest systems have one input and one output . Only single input/output systems will be considered in this course. Classification Of Systems Types of Systems Continuous-Time Input & Output Continuous-Time System Discrete-Time Input & Outputs Discrete-Time Systems
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2 System Properties 1. Memory/Memoryless Memoryless ( ) () Output Depend only on current value of Input yt yn Examples of Memoryless ( ) () () 2 xt yt axt yt gtxt yt Ae yn axn yn ax n = = = = = Examples of Memory ( ) ( ) ( ) () () ( ) () () () 00 11 1 1 1 0 yt xt t y x t yn axn bxn y ax bx =− =+ = + 2. Causal
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This note was uploaded on 10/24/2009 for the course ECE 108 taught by Professor Li during the Spring '08 term at Lehigh University .

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basicsys_06 - Basic Properties Of Systems Definition Of A...

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