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# lecture7 - CSE 471 Media Processing and Multimedia Feedback...

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1 CSE 471 Media Processing and Multimedia Feedback Filters Why we might need feedback Uses for feedback filters Resons

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2 CSE 471 Media Processing and Multimedia Isotrack Motion Tracking System Tracks location of sensor relative to transmitter X,Y,Z location Pitch, Roll, Azimuth direction Up to 60 readings per second Tends to be a bit noisy How can we filter the noise?
3 CSE 471 Media Processing and Multimedia Ways we know… Finite Impulse Response Filter Filter that has a finite history of samples What if we want one second of filtering? = - = N i i t i t x a y 0

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4 CSE 471 Media Processing and Multimedia A new idea What if we used “feedback”? This is a recursive structure. 1 1 0 - + = t t t y b x a y )) ( ( 3 1 2 0 1 1 0 1 0 - - - + + + = t t t t t y b x a b x a b x a y
5 CSE 471 Media Processing and Multimedia One Example 1 5 . 0 5 . 0 - + = t t t y x y

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6 CSE 471 Media Processing and Multimedia Infinite Impulse Response Filters with feedback have: Infinite response to any input! They store history in their state
7 CSE 471 Media Processing and Multimedia Analyzing an IIR filter Suppose we have: We can write as: 1 1 - + = t t t y b x y X Y z b Y Y z b X Y = - + = - - 1 1 1 1

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8 CSE 471 Media Processing and Multimedia Solve for Y 1 1 1 1 1 1 1 1 1 1 ) ( 1 1 ) 1 ( - - - - - = - = = - = - z b z X z b Y X z b Y X Y z b Y H
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lecture7 - CSE 471 Media Processing and Multimedia Feedback...

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