Digital Signal Processing Handbook P3

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Digital Signal Processing Handbook P3

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Bomar, B.W. “Finite Wordlength Effects” Digital Signal Processing Handbook Ed. Vijay K. Madisetti and Douglas B. Williams Boca Raton: CRC Press LLC, 1999 c 1999 by CRC Press LLC .3 Finite Wordlength Effects 3.1 3.2 3.3 3.4 3.5 Introduction Number Representation Fixed-Point Quantization Errors Floating-Point Quantization Errors Roundoff Noise Roundoff Noise in FIR Filters • Roundoff Noise in Fixed-Point IIR Filters • Roundoff Noise in Floating-Point IIR Filters Bruce W. Bomar University of Tennessee Space Institute 3.6 Limit Cycles 3.7 Overflow Oscillations 3.8 Coefficient Quantization Error 3.9 Realization Considerations References 3.1 Introduction Practical digital filters must be implemented with finite precision numbers and arithmetic. As a result, both the filter coefficients and...

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