The Method of Types for the AWGN Channel
For the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the analogous lower bound on the optimal correct-decoding exponent. The derivations use the method of...
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| Language: | English |
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MDPI AG
2025-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/6/621 |
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| author | Sergey Tridenski Anelia Somekh-Baruch |
| author_facet | Sergey Tridenski Anelia Somekh-Baruch |
| author_sort | Sergey Tridenski |
| collection | DOAJ |
| description | For the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the analogous lower bound on the optimal correct-decoding exponent. The derivations use the method of types with finite alphabets of sizes depending on the block length <i>n</i> and with the number of types sub-exponential in <i>n</i>. |
| format | Article |
| id | doaj-art-4ea6128fe65e47c1b0475f70e942955d |
| institution | Matheson Library |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-4ea6128fe65e47c1b0475f70e942955d2025-06-25T13:48:39ZengMDPI AGEntropy1099-43002025-06-0127662110.3390/e27060621The Method of Types for the AWGN ChannelSergey Tridenski0Anelia Somekh-Baruch1Faculty of Engineering, Bar-Ilan University, Ramat Gan 5290002, IsraelFaculty of Engineering, Bar-Ilan University, Ramat Gan 5290002, IsraelFor the discrete-time AWGN channel with a power constraint, we give an alternative derivation for the sphere-packing upper bound on the optimal block error exponent and an alternative derivation for the analogous lower bound on the optimal correct-decoding exponent. The derivations use the method of types with finite alphabets of sizes depending on the block length <i>n</i> and with the number of types sub-exponential in <i>n</i>.https://www.mdpi.com/1099-4300/27/6/621error exponentsmethod of typesGaussian channelreliability functionchannel codingcorrect-decoding |
| spellingShingle | Sergey Tridenski Anelia Somekh-Baruch The Method of Types for the AWGN Channel Entropy error exponents method of types Gaussian channel reliability function channel coding correct-decoding |
| title | The Method of Types for the AWGN Channel |
| title_full | The Method of Types for the AWGN Channel |
| title_fullStr | The Method of Types for the AWGN Channel |
| title_full_unstemmed | The Method of Types for the AWGN Channel |
| title_short | The Method of Types for the AWGN Channel |
| title_sort | method of types for the awgn channel |
| topic | error exponents method of types Gaussian channel reliability function channel coding correct-decoding |
| url | https://www.mdpi.com/1099-4300/27/6/621 |
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