Summary8 - cascade of a minimum phase system and an allpass...

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Summary 8 Hamid Jafarkhani Digital Signal Processing Summary 8 – p. 1/
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Different Filter Examples Digital Resonators: Two-pole bandpass filter Notch Filters: Blocks one frequency Comb Filters: Generates nulls at a sequence of usually equally spaced frequencies Moving Average Filters Allpass Filters: H ap ( z ) = z - 1 - a * 1 - az - 1 ( | a | < 1) ⇒ | H ap ( ω ) | = 1 Summary 8 – p. 2/
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Minimum Phase/ Allpass Decomposition Any system can be decomposed to the
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Unformatted text preview: cascade of a minimum phase system and an allpass system H ( z ) = H min ( z ) H ap ( z ) . The above decomposition can be done by repeating the below process for each zero outside unit circle at z = 1 c * , | c | < 1 : H ( z ) = H 1 ( z )( z-1-c * ) H ( z ) = H 1 ( z )(1-cz-1 ) z-1-c * 1-cz-1 Summary 8 – p. 3/ 3...
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