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ECE 699 Digital Signal Processing Hardware Implementations Lecture 5

Outline. IIR Filter StructuresDirect Form ITranspose Direct Form IDirect Form IITranspose Direct Form IICascade of Second Order SectionsIteration BoundPipelining IIR FiltersFirst-order IIR FiltersHigher-order IIR FiltersIIR Filter Implementation IssuesDatapath quantizationCoefficient qua

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ECE 699 Digital Signal Processing Hardware Implementations Lecture 5

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    1. ECE 699—Digital Signal Processing Hardware Implementations Lecture 5 IIR Filters, Iteration Bound 2/18/09

    2. Outline IIR Filter Structures Direct Form I Transpose Direct Form I Direct Form II Transpose Direct Form II Cascade of Second Order Sections Iteration Bound Pipelining IIR Filters First-order IIR Filters Higher-order IIR Filters IIR Filter Implementation Issues Datapath quantization Coefficient quantization Limit cycles

    3. Reading IIR Structures and Implementation Issues Proakis, Digital Signal Processing Chapter 9 (4th Edition) = Chapter 7 (3rd Edition) Iteration Bound Parhi, VLSI Digital Signal Processing Systems Chapter 2 Pipelining IIR Filters Parhi, VLSI Digital Signal Processing Systems Chapter 10 (Sections 10.1 – 10.4)

    4. IIR Filters

    5. IIR Filter Use Scenarios In general, specified spectrum shape in the frequency domain can be implemented with fewer taps in an IIR filter than with an FIR filter Fewer taps = lower area, power, etc. However IIR filters can have undesirable effects Not linear phase Stability issues (poles outside H(z) unit circle) Implementation issues

    6. IIR Filter Difference Equation IIR filter defined by difference equation IIR = finite impulse response N feedback coefficients (N = order of the system) determine poles in system Poles outside unit circle of H(z) cause instability M +1 feedforward coefficients In the z domain:

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