2013
DOI: 10.1109/tit.2013.2262919
|View full text |Cite
|
Sign up to set email alerts
|

At Low SNR, Asymmetric Quantizers are Better

Abstract: Abstract-We study the capacity of the discrete-time Gaussian channel when its output is quantized with a 1-bit quantizer. We focus on the low signal-to-noise ratio (SNR) regime, where communication at very low spectral efficiencies takes place. In this regime, a symmetric threshold quantizer is known to reduce channel capacity by a factor of , i.e., to cause an asymptotic power loss of approximately 2 dB. Here, it is shown that this power loss can be avoided by using asymmetric threshold quantizers and asymmet… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

4
59
0

Year Published

2015
2015
2019
2019

Publication Types

Select...
4
1

Relationship

0
5

Authors

Journals

citations
Cited by 73 publications
(63 citation statements)
references
References 22 publications
4
59
0
Order By: Relevance
“…As mentioned in the introduction, in the coherent channel setting, the Shannon limit can be achieved by PPM with hard decoding as was demonstrated by Golay and Wozencraft and Jacobs . The same result was also provided by . In the following, we focus on hard decoding of noncoherent PPM in phase fading and show it can also achieve the Shannon limit.…”
Section: Noncoherent Pulse‐position Modulation With Hard Decisionsupporting
confidence: 69%
See 4 more Smart Citations
“…As mentioned in the introduction, in the coherent channel setting, the Shannon limit can be achieved by PPM with hard decoding as was demonstrated by Golay and Wozencraft and Jacobs . The same result was also provided by . In the following, we focus on hard decoding of noncoherent PPM in phase fading and show it can also achieve the Shannon limit.…”
Section: Noncoherent Pulse‐position Modulation With Hard Decisionsupporting
confidence: 69%
“…Although it is possible to consider this capacity per unit‐cost result as a special case of , Thm.1], where a fast fading channel with complex‐valued soft outputs is studied, our proof provides a better understanding of the capacity behaviour of noncoherent OOK parameterized by an amplitude A in the low‐SNR regime. Also note that the previous procedure of the proof is same to the one used , Thm. 2, Thm.…”
Section: Achieving Shannon Limitsmentioning
confidence: 99%
See 3 more Smart Citations