e178-04L4

e178-04L4 - Linear Systems: Discrete case & 2D January...

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January 15, 2004
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01/13/2004 ECE 178: Linear Systems Review 2 Linear systems-review 2D impulse function Line function Step function Linear systems and Shift invariance Impulse Response of LSI Systems 2-D Convolution
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01/13/2004 ECE 178: Linear Systems Review 3 2-D Systems X(n1,n2) n1 n2
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01/13/2004 ECE 178: Linear Systems Review 4 Impulse Function( Kronecker Delta) δ (n1,n2)=1 if n1=0 and n2=0. =0 otherwise. n1 n2
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01/13/2004 ECE 178: Linear Systems Review 5 Line Impulse δ T (n1,n2)=1 for all n1=0. =0 otherwise. n1 n2
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01/13/2004 ECE 178: Linear Systems Review 6 Unit Step Function u(n1,n2)=1 for all n1,n2>0. =0 otherwise. n1 n2
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01/13/2004 ECE 178: Linear Systems Review 7 System An input-output relationship is called a system if there is a unique output for any given input. Y(n1,n2) = T[X(n1,n2)] X Y T
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01/13/2004 ECE 178: Linear Systems Review 8 Linear Systems The linearity of a system T is defined as
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e178-04L4 - Linear Systems: Discrete case & 2D January...

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