Quantization effects in the polyphase N-path IIR structure

Krukowski, A.M., Morling, R.C.S. and Kale, I. (2002) Quantization effects in the polyphase N-path IIR structure. IEEE Transactions on Instrumentation and Measurement, 51 (6). pp. 1271-1278. ISSN 0018-9456

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Official URL: https://dx.doi.org/10.1109/TIM.2002.808032


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.

Item Type: Article
Uncontrolled Keywords: IIR filters, fixed point arithmetic, hardware description languages, quantisation (signal), roundoff errors, Simulink, VHDL, bit-true implementation, coefficient quantization, fixed-point arithmetic, internal data growth, limited arithmetic wordlength, mathematical operators, polyphase N-path IIR structure, quantization effects, rounding noise, sensitivity;
Subjects: University of Westminster > Science and Technology
SWORD Depositor: repository@westminster.ac.uk
Depositing User: repository@westminster.ac.uk
Date Deposited: 28 Jun 2007
Last Modified: 30 Jun 2016 11:27
URI: http://westminsterresearch.wmin.ac.uk/id/eprint/4344

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