lti analysis signal system presentation by vijay ,vishal ,rahul upadhyay ,satyaprakash
TRANSCRIPT
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LTI SYSTEM Analysis
By:
Vijay Singh MundaVishal YadavRahul UpadhyaySatyaprakash
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LTI SYSTEM Analysis
By:-
Complex ExponentialDifferential Equation and Difference EquationStep Response
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Properties necessary for LTI system
• The set of basic signal can be used to construct a broad class of equal signal.
• The response of LTI system to each signal should be simple enough to provide an easy representation.
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Complex Exponential
Complex exponential signals play an important and unique role in analysis of LTI systems both in continuous and discrete time
• The two properties are provided by complex exponential signals in both continuous and discrete domain
i.e.• Signals of the form in continuous time• And in discrete timewhere s and z are complex numbers or variables
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complex exponentials are important in study LTI systems as the response of an LTI system to a complex exponential input is the same complex exponential with only a change in amplitude
In continuous time:-
In discrete time:-zⁿ→H(z)zⁿ
where the complex amplitude factor H(s)and H(z) are function of the complex variable s and z
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• A signal for which the system output is constant times the input is referred as an EIGENfunction of the LTI system
• and the amplitude factor is referred to as system’s eigenvalue.
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