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Lecture - Linear Systems

# Lecture - Linear Systems - EE4780:Introductionto...

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EE 4780: Introduction to  Computer Vision Linear Systems

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Bahadir K. Gunturk 2 Review: Linear Systems We define a system as a unit that converts an input function into an output function. System operator Independent variable
Bahadir K. Gunturk 3 Linear Systems Then the system H is called a linear system . where f i ( x ) is an arbitrary input in the class of all inputs { f ( x )}, and g i ( x ) is the corresponding output. Let If A linear system has the properties of additivity and homogeneity .

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Bahadir K. Gunturk 4 Linear Systems for all f i ( x ) { f ( x )} and for all x 0 . The system H is called shift invariant if This means that offsetting the independent variable of the input by x 0 causes the same offset in the independent variable of the output. Hence, the input-output relationship remains the same.
Bahadir K. Gunturk 5 Linear Systems The operator H is said to be causal , and hence the system described by H is a causal system , if there is no output before there is an input. In other words, A linear system H

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Lecture - Linear Systems - EE4780:Introductionto...

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