Summary6 - near ω Put zeros near e jω to suppress...

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Summary 6 Hamid Jafarkhani Digital Signal Processing Summary 6 – p. 1/
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Design Issues | H ( ω ) | 2 = H ( z ) H ( z - 1 ) | z = e If H ( z ) has N poles p 1 ,p 2 , · · · ,p N and M zeros z 1 ,z 2 , · · · ,z M , then H ( z - 1 ) has N poles 1 p 1 , 1 p 2 , · · · , 1 p N and M zeros 1 z 1 , 1 z 2 , · · · , 1 z M . Given H ( z ) H ( z - 1 ) (equivalently | H ( ω ) | 2 ), there are different choices for poles and zeros of H ( z ) . Summary 6 – p. 2/
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Filter Design with Poles and Zeros Put poles near e to emphasize frequencies
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Unformatted text preview: near ω . Put zeros near e jω to suppress frequencies near ω . Put poles inside the unit circle for the filter to be stable. Complex zeros and poles should occur in complex conjugate pairs for the filter coefficients h [ n ] to be real. Summary 6 – p. 3/ 3...
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