ds2 - ECE 178 Digital Image Processing Discussion Session...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
ECE 178 Digital Image Processing Discussion Session #2 Mehmet Emre Sargin msargin@ece.ucsb.edu January 19, 2007 Linearity and Time Invariance: Consider a system L { . } that relates the input x [ m,n ] to y [ m,n ], y 1 [ m,n ] = L { x 1 [ m,n ] } y 2 [ m,n ] = L { x 2 [ m,n ] } The system L { . } is called linear if Ay 1 [ m,n ] + By 2 [ m,n ] = L { Ax 1 [ m,n ] + Bx 2 [ m,n ] } The system L { . } is called time invariant if y [ m - m 0 ,n - n 0 ] = L { x [ m - m 0 ,n - n 0 ] } 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
DS#2 ECE 178 Mehmet Emre Sargin msargin@ece.ucsb.edu Importance of Linearity and Time Invariance: Consider a system L { . } that relates the input x [ m,n ] to y [ m,n ]. y [ m,n ] = L { x [ m,n ] } (1) We can write down x [ m,n ] as x [ m,n ] = X k,l x [ k,l ] δ [ m - k,n - l ] Then the Equation 1 becomes: y [ m,n ] = L { X k,l x [ k,l ] δ [ m - k,n - l ] } If L { . } is linear: y [ m,n ] = X k,l x [ k,l ] L { δ [ m - k,n - l ] } If L { . } is time invariant and the response of L { . } to the δ [ m,n ] is h [ m,n ], i.e. h
Background image of page 2
Image of page 3
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 / 4

ds2 - ECE 178 Digital Image Processing Discussion Session...

This preview shows document pages 1 - 3. Sign up to view the full document.

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