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. https://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 | |||||||||
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| Additional Information: | © 1988 IEEE. Work supported in part by the National Science Foundation grants DCI 8552579 and MIP 8604456. | |||||||||
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| DOI: | 10.1109/ISCAS.1988.15504 | |||||||||
| Record Number: | CaltechAUTHORS:20170713-131749478 | |||||||||
| Persistent URL: | https://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: | 15 Nov 2021 17:45 |
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