Abstract
Sampling above the Nyquist-rate is at the heart of sigma-delta modulation, where the increase in sampling rate is translated to a reduction in the overall (minimum mean-squared-error) reconstruction distortion. This is attained by using a feedback filter at the encoder, in conjunction with a low-pass filter at the decoder. The goal of this work is to characterize the optimal trade-off between the per-sample quantization rate and the resulting mean-squared-error distortion, under various restrictions on the feedback filter. To this end, we establish a duality relation between the performance of sigma-delta modulation, and that of differential pulse-code modulation when applied to (discrete-time) band-limited inputs. As the optimal trade-off for the latter scheme is fully understood, the full characterization for sigma-delta modulation, as well as the optimal feedback filters, immediately follow.
| Original language | English |
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| Title of host publication | Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 321-325 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781467377041 |
| DOIs | |
| State | Published - 28 Sep 2015 |
| Externally published | Yes |
| Event | IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: 14 Jun 2015 → 19 Jun 2015 |
Publication series
| Name | IEEE International Symposium on Information Theory - Proceedings |
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| Volume | 2015-June |
| ISSN (Print) | 2157-8095 |
Conference
| Conference | IEEE International Symposium on Information Theory, ISIT 2015 |
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| Country/Territory | Hong Kong |
| City | Hong Kong |
| Period | 14/06/15 → 19/06/15 |
Bibliographical note
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