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Roundoff noise generated by orthogonal building blocks in signal processing structures

Liu, Vincent C. and Vaidyanathan, P. P. (1988) Roundoff noise generated by orthogonal building blocks in signal processing structures. In: 1988 IEEE International Symposium on Circuits and Systems. Vol.3. IEEE , Piscataway, NJ, pp. 2731-2734. http://resolver.caltech.edu/CaltechAUTHORS:20170713-131749478

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Abstract

The statistics of roundoff errors produced by the multiplication of a random input vector with an orthogonal matrix can be expressed in terms of the characteristic function of the input vector. The case of a 2*2 orthogonal matrix is analyzed by assuming that the input probability mass function follows a jointly Gaussian envelope. It is found that for small dynamic ranges the two errors are not necessarily uncorrelated. However, they are uncorrelated for large dynamic range. The lossless FIR (finite-impulse-response) lattice with quantizers is considered as an example.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISCAS.1988.15504DOIArticle
http://ieeexplore.ieee.org/document/15504/PublisherArticle
Additional Information:© 1988 IEEE. Work supported in part by the National Science Foundation grants DCI 8552579 and MIP 8604456.
Funders:
Funding AgencyGrant Number
NSFDCI-8552579
NSFMIP-8604456
Record Number:CaltechAUTHORS:20170713-131749478
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170713-131749478
Official Citation:V. C. Liu and P. P. Vaidyanathan, "Roundoff noise generated by orthogonal building blocks in signal processing structures," 1988., IEEE International Symposium on Circuits and Systems, Espoo, Finland, 1988, pp. 2731-2734 vol.3. doi: 10.1109/ISCAS.1988.15504
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79086
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 20:25
Last Modified:13 Jul 2017 20:25

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