14_periodicx

# 14_periodicx - Periodic Noise Reduction by Frequency Domain...

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Periodic Noise Reduction by Frequency Domain Filtering COMP344 COMP344 Periodic Noise Reduction by Frequency Domain Filtering

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Motivating Example COMP344 Periodic Noise Reduction by Frequency Domain Filtering
Motivating Example... masked power spectrum noise reduced image COMP344 Periodic Noise Reduction by Frequency Domain Filtering

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Notch Filters Rejects (or passes) frequencies in predefined neighbourhood about a centre frequency ( u 0 , v 0 ) H np = 1 - H nr must appear in symmetric pairs about the origin (except if the notch filter is located at the origin) shape of the notch areas can be arbitrary (e.g., rectangular) If u 0 = v 0 = 0 the Notch reject filter becomes a highpass filter the Notch pass filter becomes a lowpass filter COMP344 Periodic Noise Reduction by Frequency Domain Filtering
Notch Filters... Ideal notch reject filter (centers at ( u 0 , v 0 ) and ( - u 0 , - v 0 )) H ( u , v ) = 0 D 1 ( u , v ) D 0 or D 2 ( u , v ) D 0 1 otherwise D 1 ( u , v ) = ( u - M 2 - u 0 ) 2 + ( v - N 2 - v 0 ) 2 D 2 ( u , v ) = ( u - M 2 + u 0 ) 2 + ( v - N 2 + v 0 ) 2 Butterworth notch reject filter H nr ( u , v ) = 1 1 + D 2 0 D 1 ( u , v ) D 2 ( u , v ) n

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• Fall '09
• AlbertK.Wong
• Band-pass filter, Low-pass filter, Periodic Noise Reduction, Butterworth Notch Filter, Frequency Domain Filtering

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