Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise
Fiber-optic communications are moving to coherent detection in order to increase their spectral efficiency, i.e., their channel capacity per unit bandwidth. At power levels below the threshold for significant nonlinear effects, the channel model for such operation a linear time-invariant filter foll...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
SPIE
2018
|
| Online Access: | http://hdl.handle.net/1721.1/113399 https://orcid.org/0000-0001-8620-1652 https://orcid.org/0000-0002-6094-5861 |
| _version_ | 1826197945924452352 |
|---|---|
| author | Roy Bardhan, Bhaskar Shapiro, Jeffrey H |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Roy Bardhan, Bhaskar Shapiro, Jeffrey H |
| author_sort | Roy Bardhan, Bhaskar |
| collection | MIT |
| description | Fiber-optic communications are moving to coherent detection in order to increase their spectral efficiency, i.e., their channel capacity per unit bandwidth. At power levels below the threshold for significant nonlinear effects, the channel model for such operation a linear time-invariant filter followed by additive Gaussian noise is one whose channel capacity is well known from Shannon's noisy channel coding theorem. The fiber channel, however, is really a bosonic channel, meaning that its ultimate classical information capacity must be determined from quantum-mechanical analysis, viz. from the Holevo-Schumacher-Westmoreland (HSW) theorem. Based on recent results establishing the HSW capacity of a linear (lossy or amplifying) channel with additive Gaussian noise, we provide a general continuous-time result, namely the HSW capacity of a linear time-invariant (LTI) bosonic channel with additive Gaussian noise arising from a thermal environment. In particular, we treat quasi-monochromatic communication under an average power constraint through a channel comprised of a stable LTI filter that may be attenuating at all frequencies or amplifying at some frequencies and attenuating at others. Phase-insensitive additive Gaussian noise-associated with the continuous-time Langevin noise operator needed to preserve free-field commutator brackets is included at the filter output. We compare the resulting spectral efficiencies with corresponding results for heterodyne and homodyne detection over the same channel to assess the increased spectral efficiency that might be realized with optimum quantum reception. |
| first_indexed | 2024-09-23T10:56:11Z |
| format | Article |
| id | mit-1721.1/113399 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:56:11Z |
| publishDate | 2018 |
| publisher | SPIE |
| record_format | dspace |
| spelling | mit-1721.1/1133992022-10-01T00:04:24Z Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise Roy Bardhan, Bhaskar Shapiro, Jeffrey H Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Roy Bardhan, Bhaskar Shapiro, Jeffrey H Fiber-optic communications are moving to coherent detection in order to increase their spectral efficiency, i.e., their channel capacity per unit bandwidth. At power levels below the threshold for significant nonlinear effects, the channel model for such operation a linear time-invariant filter followed by additive Gaussian noise is one whose channel capacity is well known from Shannon's noisy channel coding theorem. The fiber channel, however, is really a bosonic channel, meaning that its ultimate classical information capacity must be determined from quantum-mechanical analysis, viz. from the Holevo-Schumacher-Westmoreland (HSW) theorem. Based on recent results establishing the HSW capacity of a linear (lossy or amplifying) channel with additive Gaussian noise, we provide a general continuous-time result, namely the HSW capacity of a linear time-invariant (LTI) bosonic channel with additive Gaussian noise arising from a thermal environment. In particular, we treat quasi-monochromatic communication under an average power constraint through a channel comprised of a stable LTI filter that may be attenuating at all frequencies or amplifying at some frequencies and attenuating at others. Phase-insensitive additive Gaussian noise-associated with the continuous-time Langevin noise operator needed to preserve free-field commutator brackets is included at the filter output. We compare the resulting spectral efficiencies with corresponding results for heterodyne and homodyne detection over the same channel to assess the increased spectral efficiency that might be realized with optimum quantum reception. 2018-02-02T19:27:18Z 2018-02-02T19:27:18Z 2016-03 Article http://purl.org/eprint/type/ConferencePaper 0277-786X 1996-756X http://hdl.handle.net/1721.1/113399 Roy Bardhan, Bhaskar, and Jeffrey H. Shapiro. Ultimate Capacity of Linear Time-Invariant Bosonic Channels with Additive Gaussian Noise. Proceedings of SPIE--the Society of Photo-Optical Instrumentation Engineers, San Francisco, California, United States, Edited by Hamid Hemmati and Don M. Boroson, 2016, p. 973910. © 2016 SPIE https://orcid.org/0000-0001-8620-1652 https://orcid.org/0000-0002-6094-5861 en_US http://dx.doi.org/10.1117/12.2213039 Proceedings of SPIE--the Society of Photo-Optical Instrumentation Engineers Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf SPIE SPIE |
| spellingShingle | Roy Bardhan, Bhaskar Shapiro, Jeffrey H Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title | Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title_full | Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title_fullStr | Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title_full_unstemmed | Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title_short | Ultimate capacity of linear time-invariant bosonic channels with additive Gaussian noise |
| title_sort | ultimate capacity of linear time invariant bosonic channels with additive gaussian noise |
| url | http://hdl.handle.net/1721.1/113399 https://orcid.org/0000-0001-8620-1652 https://orcid.org/0000-0002-6094-5861 |
| work_keys_str_mv | AT roybardhanbhaskar ultimatecapacityoflineartimeinvariantbosonicchannelswithadditivegaussiannoise AT shapirojeffreyh ultimatecapacityoflineartimeinvariantbosonicchannelswithadditivegaussiannoise |