Quantization noise analysis of wave digital and lossless digital integrator allpass/lattice filters

Holmberg, J.; Harnefors, Lennart; Signell, S.

doi:10.1109/icassp.1999.756176

Cited by 1 publication

(1 citation statement)

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“…Assuming that the quantization noise for the -bit data path length is caused by variation of the LSB , then to a first approximation the quantization error can be modeled as a white noise source with power of [5], [6]. Such an approximation is used very often in modeling quantization effects [6], [7] even if it does not consider such effects like the loss of precision, when the data needs to be represented with a smaller number of bits than is required for keeping it in full precision, and the correlation between the quantization noise and an input signal. The method of modeling the quantization process more accurately by considering the loss of precision mechanisms can be found in [8].…”

Section: Introductionmentioning

confidence: 99%

Quantization effects in the polyphase N -path IIR structure

Krukowski

Morling

Kale

2002

IEEE Trans. Instrum. Meas.

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Abstract-Polyphase IIR structures have recently proven themselves very attractive for very high performance filters that can be designed using very few coefficients. This, combined with their low sensitivity to coefficient quantization in comparison to standard FIR and IIR structures, makes them very applicable for very fast filtering when implemented in fixed-point arithmetic. However, although the mathematical description is very simple, there exist a number of ways to implement such filters. In this paper, we take four of these different implementation structures, analyze the rounding noise originating from the limited arithmetic wordlength of the mathematical operators, and check the internal data growth within the structure. These analyses need to be done to ensure that the performance of the implementation matches the performance of the theoretical design. The theoretical approach that we present has been proven by the results of the fixed-point simulation done in Simulink and verified by an equivalent bit-true implementation in VHDL.Index Terms-Digital filters, dynamic range analysis, polyphase IIR structure, quantization effects, quantization noise, roundoff noise.

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