signals restoration based on filtering

8/15/2019 SIGNALS RESTORATION BASED ON FILTERING

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SIGNALS RESTORATIONSIGNALS RESTORATION

BASED ON FILTERINGBASED ON FILTERING

1. Signal restoration model1. Signal restoration model

2. Inverse filtering2. Inverse filtering3. Winner filtering3. Winner filtering

4. Parametric estimated filters4. Parametric estimated filters

5. Spatial domain filtering5. Spatial domain filtering6. Homomorphic filtering6. Homomorphic filtering

7. !tlier filtering7. !tlier filtering


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Continuous signal restoration

model


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Signal restoration modelSignal restoration model


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Continuous signal restoration

model


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Inverse filteringInverse filtering


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Inverse filteringInverse filtering


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Winner filteringWinner filtering

"inimi#ing the mean$s%!are restoration error


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Winner filter transfer funtion


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Additive noise Winner filter


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Additive noise Winner filter


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!arametri estimated filters!arametri estimated filters

&estoration filter 'ith a transfer f!nction


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T"e #o$er s#etrum

of t"e filter out#ut


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!arametri estimated filters!arametri estimated filters

(he po'er spectr!m of the reconstr!cted signalis identical to the po'er spectr!m

of the ideal signal


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Geometrical mean filter


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Constrained

least-squares filter


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S#atial domain filteringS#atial domain filtering


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%&% 'as(%&% 'as(

H)m*n+

H)m$1*n$1+ H)m*n$1+ H)m,1*n$1+

H)m$1*n+ H)m,1*n+

H)m$1*n,1+ H)m*n,1+ H)m,1*n,1+


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T"e #arametri filtering mas(


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T"e noise leaning

f iltering mas(siltering mas(s


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)omomor#"i filtering)omomor#"i filtering

(he inp!t signal -)*/+ is ass!med to 0e modeledas the prod!ct of a noise$free signal S)*/+ and

an ill!mination interference

arra I)*/+


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Outlier filteringOutlier filtering


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LITERAT*RELITERAT*RE

S. . aseghi. dvanced igital SignalS. . aseghi. dvanced igital Signal

Processing and oise &ed!ction.Processing and oise &ed!ction. ohnohnWillWillSons* 8td* 2992.Sons* 8td* 2992.

http:;;dsp$0oo/.narod.r!;adsnr.htmhttp:;;dsp$0oo/.narod.r!;adsnr.htm

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signals restoration based on filtering

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