Ch1 Signals &amp; Systems

# Ch1 Signals &amp; Systems - Signal and Systems...

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Signal and Systems Introduction to Signals and Systems

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February 10, 2012 Veton K ë puska 2 Introduction to Signals and Systems Introduction to Signals and Systems as  related to Engineering Modeling of physical signals by  mathematical functions Modeling physical systems by  mathematical equations Solving mathematical equations when  excited by the input functions/signals.
February 10, 2012 Veton K ë puska 3 Modeling Engineers model two distinct physical  phenomena: 1. Signals  are modeled by  mathematical  functions . 2. Physical systems  are modeled by  mathematical equations .

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What are Signals?  February 10, 2012 Veton K ë puska 4
Signals Signals ,   x(t),  are typically real functions of  one independent variable that typically  represents time ;   t . Time  t  can assume all real values:  -∞ < t < ∞, Function x(t) is typically a real function. February 10, 2012 Veton K ë puska 5

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Example of Signals: Speech February 10, 2012 Veton K ë puska 6
Example of Signals EKG: February 10, 2012 Veton K ë puska 7

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Example of Signals: EEC February 10, 2012 Veton K ë puska 8
Categories of Signals Signals can be: 1. Continuous, or 2. Discrete: T – sampling rate f – sampling  frequency – 1/T ϖ  – radial sampling  frequency – 2 π f=  2 π /T February 10, 2012 Veton K ë puska 9

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