e178-L4

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

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Linear Systems: Discrete case & 2D
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
ECE 178: Linear Systems Review 3 2-D Systems X(n1,n2) n1 n2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ECE 178: Linear Systems Review 4 Impulse Function( Kronecker Delta) δ (n1,n2)=1 if n1=0 and n2=0. =0 otherwise. n1 n2
Background image of page 4
ECE 178: Linear Systems Review 5 Line Impulse δ T (n1,n2)=1 for all n1=0. =0 otherwise. n1 n2
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ECE 178: Linear Systems Review 6 Unit Step Function u(n1,n2)=1 for all n1,n2>0. =0 otherwise. n1 n2
Background image of page 6
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
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
8 Linear Systems The linearity of a system T is defined as Linearity: T[a X 1 (n1,n2) + b X 2 (n1,n2)] = a Y 1 + b Y 2 (i.e., principle of superposition holds). Are these linear?
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/12/2009 for the course ECE 178 taught by Professor Manjunath during the Winter '08 term at UCSB.

Page1 / 16

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

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online