Construction of optimal symmetric Z-complementary code set based on extended Boolean function
Aiming at the problem of the limited number of training sequences in the wideband generalized spatial modulation (GSM) system, the construction methods of the optimal symmetric Z-complementary code set (SZCCS) and the enhanced cross Z-complementary set (E-CZCS) were studied. A new construction metho...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Department of Journal on Communications
2025-06-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2025104/ |
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| Summary: | Aiming at the problem of the limited number of training sequences in the wideband generalized spatial modulation (GSM) system, the construction methods of the optimal symmetric Z-complementary code set (SZCCS) and the enhanced cross Z-complementary set (E-CZCS) were studied. A new construction method for the optimal symmetric Z complementary code set based on extended Boolean function (EBF) was proposed. The resulting sequence had a new parameter form, which was specifically represented as <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mo stretchy="false">(</mo><msup><mrow><mi>q</mi></mrow><mrow><mi>k</mi></mrow></msup><mo>,</mo><msup><mrow><mi>q</mi></mrow><mrow><mi>k</mi><mo>+</mo><mn mathvariant="normal">1</mn></mrow></msup><mo>,</mo><msup><mrow><mi>q</mi></mrow><mrow><mi>m</mi></mrow></msup><mo>,</mo><msup><mrow><mi>q</mi></mrow><mrow><mi>m</mi></mrow></msup><mo stretchy="false">)</mo></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/9B823725-23A0-4fb2-96F6-964447CE0FA0-M002.jpg"><?fx-imagestate width="20.65866661" height="3.13266683"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/9B823725-23A0-4fb2-96F6-964447CE0FA0-M002c.jpg"><?fx-imagestate width="20.65866661" height="3.13266683"?></graphic></alternatives></inline-formula>. At the same time, the construction was also enhanced cross Z-complementary sequence set with large zero correlation zone (ZCZ), where the ratio of the ZCZ length to the sequence length was 1. The parameters of the two sequence sets obtained were flexible and were no longer limited to powers of 2. Using the proposed enhanced cross Z-complementary set obtained as the base sequence, the training matrix for the generalized space modulation system was constructed. Simulation results demonstrate that the channel estimation of the enhanced cross Z-complementary set can achieve the theoretical minimum mean square error (MSE). |
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| ISSN: | 1000-436X |