Miniaturized 4 × 4 Butler Matrix and Tunable Phase Shifter Using Ridged Half-Mode Substrate Integrated Waveguide
Bibliographic record
Abstract
A novel 4×4 Butler matrix fabricated on ridged half-mode substrate integrated waveguide (RHMSIW) technology is designed and realized. The integration of the proposed Butler matrix with tunable phase shifters fabricated using the same technology is also demonstrated to achieve semi-continuous beam steering for fifth-generation (5G) applications. This article discusses the design considerations of the various ridged half-mode subcomponents of the Butler matrix in detail and presents two novel interconnects, namely 90° waveguide bends and a half-mode open-edge-to-open-edge transition. This article shows that the capacitive ridge on the open edge of one waveguide can be directly connected to the open edge on another with little compromise on the performance over a reference line of the same length. The simulated and measured results of each Butler matrix component are also presented and are all in good agreement. The proposed Butler matrix has a 5% operational bandwidth centered at 3.51 GHz with less than ±22° error in the progressive differential phase shift and less than ±1.2-dB coupling imbalance. Finally, it is shown that the proposed Butler matrix achieves over 70% board area miniaturization in comparison to a similar design fabricated on half-mode substrate integrated waveguide technology.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".