Digital Signal Processing

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Digital Signal Processing

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Digital Signal ProcessingTopic 8: Filter Design: IIR

1. Filter Design Specifications

2. Analog Filter Design

3. Digital Filters from Analog Prototypes

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1. Filter Design Specifications

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Performance Constraints

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Performance Constraints

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Passband Ripple

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Stopband Ripple

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Filter Type Choice : FIR vs. IIR

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FIR vs. IIR

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IIR Filter Design

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2. Analog Filter Design

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CT Transfer Functions

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Butterworth Filters

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Butterworth Filters

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Butterworth Filters

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Butterworth Filters

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Butterworth Example

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Butterworth Example

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Chebyshev I Filter

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Chebyshev I Filter

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Chebyshev I Filter

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Chebyshev II Filter

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Elliptical (Cauer) Filters

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Analog Filter Types Summary

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Analog Filter Transformations

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Lowpass-to-Highpass

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Lowpass-to-Highpass

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Transformation Example

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Transformation Example

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Transformation Example

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3. Analog Protos IIR Filters

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CT to DT Transformation

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Bilinear Transformation

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Bilinear Trnsformation

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Bilinear Transformation

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Frequency Warping

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Design Procedure

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Bilinear Transform Example

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Bilinear Transform Example

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Bilinear Transform Example

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Other Filter Shapes

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DT Spectral Transformations

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DT Frequency Warping

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Another Design Example

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Another Design Example