[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"article-5-antenna-gains-hilbert-fractal-mimo-design-zh":3,"article-related-5-antenna-gains-hilbert-fractal-mimo-design-zh":33,"series-industry-7f57e1d5-89c7-464f-8c81-9d58af12e310":86},{"id":4,"slug":5,"title":6,"content":7,"summary":8,"source":9,"source_url":10,"author":11,"image_url":12,"cover_image":12,"category":13,"language":14,"translated_content":11,"related_article_id":15,"keywords":16,"key_takeaways":25,"views":29,"created_at":30,"published_at":31,"topic_cluster_id":32},"7f57e1d5-89c7-464f-8c81-9d58af12e310","5-antenna-gains-hilbert-fractal-mimo-design-zh","5 個 Hilbert 分形 MIMO 天線優勢","\u003Cp data-speakable=\"summary\">這篇在講一款四單元 Hilbert 分形 \u003Ca href=\"\u002Fnews\u002Fimplicit-channel-estimation-full-duplex-mimo-zh\">MIMO\u003C\u002Fa> 天線，重點是小尺寸、寬頻與高隔離如何同時成立。\u003C\u002Fp>\u003Cp>讀完這 5 項，你可以快速判斷這種 5G NR 天線設計是否適合你的裝置：是要更小的板面、覆蓋更多頻段，還是先保住 \u003Ca href=\"\u002Fnews\u002Fdata-driven-output-regulation-mimo-systems-zh\">MIMO\u003C\u002Fa> 表現。\u003C\u002Fp>\u003Ctable>\u003Cthead>\u003Ctr>\u003Cth>項目\u003C\u002Fth>\u003Cth>規格 A\u003C\u002Fth>\u003Cth>規格 B\u003C\u002Fth>\u003Cth>規格 C\u003C\u002Fth>\u003C\u002Ftr>\u003C\u002Fthead>\u003Ctbody>\u003Ctr>\u003Ctd>整體陣列\u003C\u002Ftd>\u003Ctd>33 × 33 mm²\u003C\u002Ftd>\u003Ctd>4 單元\u003C\u002Ftd>\u003Ctd>0.23λ0 × 0.23λ0\u003C\u002Ftd>\u003C\u002Ftr>\u003Ctr>\u003Ctd>單元天線\u003C\u002Ftd>\u003Ctd>22 × 10.3 mm²\u003C\u002Ftd>\u003Ctd>第三階 Hilbert 分形\u003C\u002Ftd>\u003Ctd>支援 n40\u002Fn41、n77\u002Fn78\u003C\u002Ftd>\u003C\u002Ftr>\u003Ctr>\u003Ctd>頻寬\u003C\u002Ftd>\u003Ctd>11.18%\u003C\u002Ftd>\u003Ctd>56.6%\u003C\u002Ftd>\u003Ctd>開路 stub 後提升\u003C\u002Ftd>\u003C\u002Ftr>\u003Ctr>\u003Ctd>隔離度\u003C\u002Ftd>\u003Ctd>> 20 dB\u003C\u002Ftd>\u003Ctd>> 30 dB\u003C\u002Ftd>\u003Ctd>低中頻 \u002F 高頻\u003C\u002Ftd>\u003C\u002Ftr>\u003Ctr>\u003Ctd>MIMO 指標\u003C\u002Ftd>\u003Ctd>ECC \u003C 0.002\u003C\u002Ftd>\u003Ctd>DG ≥ 9.9\u003C\u002Ftd>\u003Ctd>CCL \u003C 0.4 bits\u002Fs\u002FHz\u003C\u002Ftd>\u003C\u002Ftr>\u003C\u002Ftbody>\u003C\u002Ftable>\u003Ch2>1. 緊湊四單元布局\u003C\u002Fh2>\u003Cp>這個設計最大的優勢是尺寸小。整體陣列只有 33 × 33 mm²，作者也把它描述為低頻端約 0.23λ0 × 0.23λ0，適合板面很有限的 5G 裝置。\u003C\u002Fp>\n\u003Cfigure class=\"my-6\">\u003Cimg src=\"https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1779608150008-pc4x.png\" alt=\"5 個 Hilbert 分形 MIMO 天線優勢\" class=\"rounded-xl w-full\" loading=\"lazy\" \u002F>\u003C\u002Ffigure>\n\u003Cp>四個輻射單元採軸對稱排列，結構簡潔，便於做成 \u003Ca href=\"\u002Fnews\u002Fmode-tensorized-cp-mimo-channel-estimation-zh\">MIMO\u003C\u002Fa> 陣列，也比較容易在實際產品裡整合。\u003C\u002Fp>\u003Cul>\u003Cli>陣列尺寸：33 × 33 mm²\u003C\u002Fli>\u003Cli>單元數：4\u003C\u002Fli>\u003Cli>基板：CER10 0470\u003C\u002Fli>\u003C\u002Ful>\u003Ch2>2. 第三階 Hilbert 分形輻射器\u003C\u002Fh2>\u003Cp>輻射器採第三階 Hilbert 分形結構。這類幾何的好處是能把較長的電氣路徑塞進更小的物理空間，這裡把單一輻射器壓到 22 × 10.3 mm²。\u003C\u002Fp>\u003Cp>這種縮小不是只為了漂亮，而是讓天線能在不增加板面積的前提下，覆蓋多個 5G NR 頻段，包括 n40\u002Fn41 與更寬的 n77\u002Fn78 範圍。\u003C\u002Fp>\u003Ccode>單一輻射器尺寸：22 × 10.3 mm²\u003Cbr>支援頻段：n40\u002Fn41、n77\u002Fn78\u003C\u002Fcode>\u003Ch2>3. 開路 stub 載入\u003C\u002Fh2>\u003Cp>性能提升的關鍵在開路 stub。它提供額外反應性負載，把低截止頻率往下拉，同時把可用頻寬拉寬。文中顯示，去掉 stub 的版本只有 11.18% 的分數頻寬，最後成品則提升到 56.6%。\u003C\u002Fp>\n\u003Cfigure class=\"my-6\">\u003Cimg src=\"https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1779608148773-hhne.png\" alt=\"5 個 Hilbert 分形 MIMO 天線優勢\" class=\"rounded-xl w-full\" loading=\"lazy\" \u002F>\u003C\u002Ffigure>\n\u003Cp>對天線設計者來說，這種改動很實際：不用加更多單元，也不用做更大的匹配網路，就能讓小天線吃下更寬的頻段。\u003C\u002Fp>\u003Cul>\u003Cli>無 stub 頻寬：11.18%\u003C\u002Fli>\u003Cli>最終頻寬：56.6%\u003C\u002Fli>\u003Cli>效果：低截止頻率下降\u003C\u002Fli>\u003C\u002Ful>\u003Ch2>4. 高互元素隔離\u003C\u002Fh2>\u003Cp>密集 \u003Ca href=\"\u002Ftag\u002Fmimo\">MIMO\u003C\u002Fa> 陣列常見的問題是耦合過高，但這個設計在低頻與中頻維持 20 dB 以上隔離，高頻甚至超過 30 dB。作者把這歸因於輻射器之間的物理隔離結構。\u003C\u002Fp>\u003Cp>這對小型四單元陣列很重要，因為它讓系統不必靠拉大間距來換隔離度，對小型終端與嵌入式無線硬體都更實用。\u003C\u002Fp>\u003Cul>\u003Cli>低頻與中頻：> 20 dB\u003C\u002Fli>\u003Cli>高頻：> 30 dB\u003C\u002Fli>\u003Cli>方法：物理隔離障壁\u003C\u002Fli>\u003C\u002Ful>\u003Ch2>5. 可靠的 MIMO 指標\u003C\u002Fh2>\u003Cp>這篇不只看單天線表現，也評估了整體 MIMO 品質。Envelope Correlation Coefficient 低於 0.002，Diversity Gain 至少 9.9，Total Active Reflection Coefficient 在隨機相位分析下低於 −10 dB，Channel Capacity Loss 則小於 0.4 bits\u002Fs\u002FHz。\u003C\u002Fp>\u003Cp>這些數字代表它不只是能放進小板子，還真的能在多天線系統裡維持不錯的多樣性與容量表現。\u003C\u002Fp>\u003Cul>\u003Cli>ECC：\u003C 0.002\u003C\u002Fli>\u003Cli>DG：≥ 9.9\u003C\u002Fli>\u003Cli>TARC：低於 −10 dB\u003C\u002Fli>\u003Cli>CCL：\u003C 0.4 bits\u002Fs\u002FHz\u003C\u002Fli>\u003C\u002Ful>\u003Ch2>怎麼挑\u003C\u002Fh2>\u003Cp>如果你最在意板面大小，先看第 1 項的緊湊四單元布局。如果你要的是更廣的頻段覆蓋，第 3 項的開路 stub 載入最值得注意。如果你主要關心 MIMO 系統行為，第 4 與第 5 項會是判斷重點。\u003C\u002Fp>\u003Cp>對 5G NR 天線設計者來說，這份清單的結論很直接：它把小型化、寬頻與低耦合放在同一個方案裡，而不是只強調其中一項。\u003C\u002Fp>","5 個重點看懂四單元 Hilbert 分形 MIMO 天線：56.6% 頻寬、>20 dB 隔離與小型化布局。","www.researchsquare.com","https:\u002F\u002Fwww.researchsquare.com\u002Farticle\u002Frs-9458672\u002Fv1",null,"https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1779608150008-pc4x.png","industry","zh","9ed95563-b20c-4b9d-9c7c-d8e774423886",[17,18,19,20,21,22,23,24],"Hilbert fractal","MIMO antenna","5G NR","antenna isolation","fractional bandwidth","ECC","diversity gain","compact array",[26,27,28],"四單元 33 × 33 mm² 的布局適合空間有限的 5G 裝置。","開路 stub 讓分數頻寬從 11.18% 提升到 56.6%。","隔離度與 ECC 表現顯示這不只是小型化，MIMO 品質也到位。",4,"2026-05-24T07:35:23.548371+00:00","2026-05-24T07:35:23.529+00:00","3e8bb3a2-d80b-4cf2-bcb1-c341b8938a43",{"tags":34,"relatedLang":45,"relatedPosts":49},[35,37,39,41,43],{"name":20,"slug":36},"antenna-isolation",{"name":18,"slug":38},"mimo-antenna",{"name":17,"slug":40},"hilbert-fractal",{"name":21,"slug":42},"fractional-bandwidth",{"name":19,"slug":44},"5g-nr",{"id":15,"slug":46,"title":47,"language":48},"5-antenna-gains-hilbert-fractal-mimo-design-en","5 antenna gains from a Hilbert fractal MIMO design","en",[50,56,62,68,74,80],{"id":51,"slug":52,"title":53,"cover_image":54,"image_url":54,"created_at":55,"category":13},"173b8876-1867-4e0b-948f-27891d6b6364","openai-should-not-rush-its-ipo-just-to-win-the-ai-race-zh","OpenAI 不該為了搶 AI 賽道而急著 IPO","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781053365610-1hko.png","2026-06-10T01:02:19.886627+00:00",{"id":57,"slug":58,"title":59,"cover_image":60,"image_url":60,"created_at":61,"category":13},"3d7ff80a-4045-4b66-9e21-b6a8eb3b6f6d","openai-europe-privacy-policy-zh","OpenAI 歐洲隱私政策更新重點","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781052479369-yomr.png","2026-06-10T00:47:31.176745+00:00",{"id":63,"slug":64,"title":65,"cover_image":66,"image_url":66,"created_at":67,"category":13},"69002c63-177a-4723-9e63-d28506f08edd","openai-ads-sensitive-chats-policy-zh","OpenAI把廣告擋在敏感對話外是對的","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781051578409-en02.png","2026-06-10T00:32:23.404084+00:00",{"id":69,"slug":70,"title":71,"cover_image":72,"image_url":72,"created_at":73,"category":13},"ea98a8c9-ebe1-4258-8a2b-b0d82b25deed","ai-bootlegs-streaming-royalties-stick-figure-zh","AI bootlegs 正在抽走串流版稅","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781050681742-3rdh.png","2026-06-10T00:17:31.017287+00:00",{"id":75,"slug":76,"title":77,"cover_image":78,"image_url":78,"created_at":79,"category":13},"20d0b5fc-a363-481d-86b2-e30276a49e92","amd-microsoft-windows-ml-acceleration-zh","AMD 與 Microsoft 把 Windows ML 推進 GPU 與 N…","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781047980407-vd5p.png","2026-06-09T23:32:31.304436+00:00",{"id":81,"slug":82,"title":83,"cover_image":84,"image_url":84,"created_at":85,"category":13},"9a0692ba-a9c5-42eb-823d-8a0e6e6ae3fc","openai-ipo-filing-turns-hype-into-scrutiny-zh","OpenAI IPO 讓神話變審核","https:\u002F\u002Fxxdpdyhzhpamafnrdkyq.supabase.co\u002Fstorage\u002Fv1\u002Fobject\u002Fpublic\u002Fcovers\u002Finline-1781042614962-bj12.png","2026-06-09T22:03:04.524304+00:00",[87,92,97,102,107,112,117,122,127,132],{"id":88,"slug":89,"title":90,"created_at":91},"ee073da7-28b3-4752-a319-5a501459fb87","ai-in-2026-what-actually-matters-now-zh","2026 AI 真正重要的事","2026-03-26T07:09:12.008134+00:00",{"id":93,"slug":94,"title":95,"created_at":96},"83bd1795-8548-44c9-9a7e-de50a0923f71","trump-ai-framework-power-speech-state-preemption-zh","川普 AI 框架瞄準電力、言論與州權","2026-03-26T07:12:18.695466+00:00",{"id":98,"slug":99,"title":100,"created_at":101},"ea6be18b-c903-4e54-97b7-5f7447a612e0","nvidia-gtc-2026-big-ai-announcements-zh","NVIDIA GTC 2026 重點拆解","2026-03-26T07:14:26.62638+00:00",{"id":103,"slug":104,"title":105,"created_at":106},"4bcec76f-4c36-4daa-909f-54cd702f7c93","claude-users-spreading-out-and-getting-better-zh","Claude 用戶更分散，也更會用","2026-03-26T07:22:52.325888+00:00",{"id":108,"slug":109,"title":110,"created_at":111},"bd903b15-2473-4178-9789-b7557816e535","openclaw-raises-hard-question-for-ai-models-zh","OpenClaw 逼問 AI 模型價值","2026-03-26T07:24:54.707486+00:00",{"id":113,"slug":114,"title":115,"created_at":116},"eeac6b9e-ad9d-4831-8eec-8bba3f9bca6a","gap-google-gemini-checkout-fashion-search-zh","Gap 把結帳搬進 Gemini","2026-03-26T07:28:23.937768+00:00",{"id":118,"slug":119,"title":120,"created_at":121},"0740e53f-605d-4d57-8601-c10beb126f3c","google-pushes-gemini-transition-to-march-2026-zh","Google 把 Gemini 轉換延到 2026 年 3…","2026-03-26T07:30:12.825269+00:00",{"id":123,"slug":124,"title":125,"created_at":126},"e660d801-2421-4529-8fa9-86b82b066990","metas-llama-4-benchmark-scandal-gets-worse-zh","Meta Llama 4 分數風波又擴大","2026-03-26T07:34:21.156421+00:00",{"id":128,"slug":129,"title":130,"created_at":131},"183f9e7c-e143-40bb-a6d5-67ba84a3a8bc","accenture-mistral-ai-sovereign-enterprise-deal-zh","Accenture 攜手 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