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  1. 1

    On the sphere-decoding algorithm I. Expected complexity by Hassibi, B., Vikalo, H.

    ISSN: 1053-587X, 1941-0476
    Published: New York, NY IEEE 01.08.2005
    Published in IEEE transactions on signal processing (01.08.2005)
    “…The problem of finding the least-squares solution to a system of linear equations where the unknown vector is comprised of integers, but the matrix coefficient…”
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    Journal Article
  2. 2

    On the sphere-decoding algorithm II. Generalizations, second-order statistics, and applications to communications by Vikalo, H., Hassibi, B.

    ISSN: 1053-587X, 1941-0476
    Published: New York, NY IEEE 01.08.2005
    Published in IEEE transactions on signal processing (01.08.2005)
    “…In Part I, we found a closed-form expression for the expected complexity of the sphere-decoding algorithm, both for the infinite and finite lattice…”
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    Journal Article
  3. 3

    A Sphere Decoding Algorithm for Multistep Sequential Model-Predictive Control by Grimm, Ferdinand, Kolahian, Pouya, Zhang, Zhenbin, Baghdadi, Mehdi

    ISSN: 0093-9994, 1939-9367
    Published: New York IEEE 01.05.2021
    Published in IEEE transactions on industry applications (01.05.2021)
    “… Due to the mixed-integer nature of finite control set model-predictive control power electronics, a special sphere decoder is, therefore, proposed in this article…”
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    Journal Article
  4. 4

    Computationally Efficient Sphere Decoding Algorithm Based on Artificial Neural Networks for Long-Horizon FCS-MPC by Zafra, Eduardo, Granado, Joaquin, Lecuyer, Vicente Baena, Vazquez, Sergio, Alcaide, Abraham M., Leon, Jose I., Franquelo, Leopoldo G.

    ISSN: 0278-0046, 1557-9948
    Published: New York IEEE 01.01.2024
    “… The conventional method involves transforming the problem to an equivalent box-constrained integer least-squares formulation that can be solved with branch-and-bound techniques, such as the sphere decoding algorithm (SDA…”
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    Journal Article
  5. 5

    Parallel Sphere Decoding Algorithm for Long-Prediction-Horizon FCS-MPC by Zafra, Eduardo, Vazquez, Sergio, Regalo, Carlos, Lecuyer, Vicente Baena, Alcaide, Abraham Marquez, Leon, Jose I., Franquelo, Leopoldo G.

    ISSN: 0885-8993, 1941-0107
    Published: New York IEEE 01.07.2022
    Published in IEEE transactions on power electronics (01.07.2022)
    “… A sphere decoding algorithm (SDA) is a branch-and-bound algorithm proposed in previous works as an efficient approach to solve this problem…”
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    Journal Article
  6. 6

    K-Best Sphere Decoding Algorithm for Long Prediction Horizon FCS-MPC by ZafraRatia, Eduardo, Vazquez, Sergio, Marquez Alcaide, Abraham, Franquelo, Leopoldo, Leon, Jose I., Perez Martin, Emilia

    ISSN: 0278-0046, 1557-9948
    Published: New York IEEE 01.08.2022
    “… Sphere decoding algorithm (SDA) has been extensively used in previous works as an approach to solve this problem…”
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    Journal Article
  7. 7

    ANN-Based Online Parameter Correction for PMSM Control Using Sphere Decoding Algorithm by Akinwumi, Joseph O., Gao, Yuan, Yuan, Xin, Vazquez, Sergio, Ruiz, Harold S.

    ISSN: 1424-8220, 1424-8220
    Published: Switzerland MDPI AG 14.01.2026
    Published in Sensors (Basel, Switzerland) (14.01.2026)
    “… The procedure comprises three steps: (i) data generation using Sphere Decoding Algorithm-based Model Predictive Control (SDA-MPC…”
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    Journal Article
  8. 8

    VLSI implementation of MIMO detection using the sphere decoding algorithm by Burg, A., Borgmann, M., Wenk, M., Zellweger, M., Fichtner, W., Bolcskei, H.

    ISSN: 0018-9200, 1558-173X
    Published: New York, NY IEEE 01.07.2005
    Published in IEEE journal of solid-state circuits (01.07.2005)
    “… This paper discusses two ASIC implementations of MIMO sphere decoders. The first ASIC attains maximum-likelihood performance with an average throughput of 73 Mb/s at a signal-to-noise ratio (SNR) of 20 dB…”
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    Journal Article Conference Proceeding
  9. 9

    Single Solution Sphere-Decoding Algorithm Model Predictive Control for High-Current Applications by Terlizzi, Cristina, Bifaretti, Stefano, Lampasi, Alessandro

    ISSN: 0093-9994, 1939-9367
    Published: New York IEEE 01.01.2025
    Published in IEEE transactions on industry applications (01.01.2025)
    “…This paper presents a Sphere-Decoding algorithm (SDA) Model Predictive Control (MPC) for a parallel-connected H-Bridges Power Supply…”
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    Journal Article
  10. 10

    Computation-Efficient Model Predictive Control Using Sphere Decoding Algorithm for DTP-PMSMs by Chen, Jian, Zhang, Zhen, Niu, Zhenyong, Zeng, Shunqi, Han, Ruixue, Wu, Yitong, Chang, Siyuan

    ISSN: 0018-9464, 1941-0069
    Published: New York IEEE 01.10.2024
    Published in IEEE transactions on magnetics (01.10.2024)
    “… Hence, a scheme of sphere decoding algorithm-MPC (SDA-MPC) with preliminary election is proposed for the calculation efficiency and harmonic suppression…”
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    Journal Article
  11. 11

    A technique to improve the fixed-sphere decoding algorithm for Spectrally Efficient Frequency Division Multiplexing systems by Liu, Boyi, Yang, Liu, Li, Mengyan, Zhang, Lifu, Zhang, Tao, Luo, Fengguang, Hu, Yongming

    ISSN: 0030-4018
    Published: Elsevier B.V 01.01.2025
    Published in Optics communications (01.01.2025)
    “…). Currently, the most effective solution is the Fixed Sphere Detection (FSD) algorithm. In previous studies, we found that in order to better reduce the computational…”
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    Journal Article
  12. 12

    Polar-coded perturbation sphere decoding algorithm over Rayleigh fading channel by Chen, Haiqiang, Chen, Yan, Liu, Yuanbo, Wang, Rui, Li, Xiangcheng, Sun, Youming, Li, Qingnian

    ISSN: 1874-4907
    Published: Elsevier B.V 01.02.2025
    Published in Physical communication (01.02.2025)
    “…A perturbation sphere decoding algorithm for control channels with small payload size is proposed in this paper…”
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    Journal Article
  13. 13

    Soft-output sphere decoding: algorithms and VLSI implementation by Studer, C., Burg, A., Bolcskei, H.

    ISSN: 0733-8716, 1558-0008
    Published: New York IEEE 01.02.2008
    “… In this paper, we show how sphere decoding can be used as an efficient tool to implement soft-output MIMO detection with flexible trade-offs between computational complexity and (error rate) performance…”
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    Journal Article
  14. 14

    Received Value Flipping Based Sphere Decoding Algorithm for Polar Codes by Wang, Rui, Chen, Haiqiang, Chen, Yan, Liu, Yuanbo, Li, Xiangcheng, Sun, Youming, Li, Qingnian

    ISSN: 2708-6240, 2708-6240
    Published: Tsinghua University Press 01.12.2024
    Published in Intelligent and converged networks (01.12.2024)
    “… To improve the performance of polar codes with short code-length for control channels, a sphere decoding algorithm based on received value flipping is proposed in this paper…”
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    Journal Article
  15. 15

    Improved sphere decoding algorithm based on ±1 quadratic programming by LI Zi1, CAI Yue-ming1

    ISSN: 1000-436X
    Published: Editorial Department of Journal on Communications 01.11.2007
    Published in Tongxin Xuebao (01.11.2007)
    “… derived.An improved sphere decoding algorithm based on these necessary conditions was proposed.The algorithm prunes redundant nodes by necessary conditions based on the origin sphere…”
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    Journal Article
  16. 16

    Pruning automatic sphere decoding algorithm and performance analysis by LI Ying, WEI Ji-bo

    ISSN: 1000-436X
    Published: Editorial Department of Journal on Communications 01.05.2007
    Published in Tongxin Xuebao (01.05.2007)
    “…A pruning automatic sphere decoding(PASD) algorithm was presented to reduce the complexity and keep the efficiency of ASD…”
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    Journal Article
  17. 17

    Comparative Study of Sphere Decoding Algorithm and FCS-MPC for PMSMs in Aircraft Application by Akinwumi, Joseph O., Gao, Yuan, Yuan, Xin, Vazquez, Sergio, Ruiz, Harold S.

    ISSN: 2226-4310, 2226-4310
    Published: Basel MDPI AG 01.06.2025
    Published in Aerospace (01.06.2025)
    “… when no control effort was applied. To mitigate this, we reformulated the MPC framework using a two-norm cost function within a sphere decoding algorithm (SDA…”
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  18. 18

    Fast Maximum Likelihood Detection of the Generalized Spatially Modulated Signals Using Successive Sphere Decoding Algorithms by Liu, Tsung-Hsien, Chen, Chiao-En, Liu, Chia-Horng

    ISSN: 1089-7798, 1558-2558
    Published: New York IEEE 01.04.2019
    Published in IEEE communications letters (01.04.2019)
    “… To achieve maximum likelihood detection (MLD) of GSM signals with low complexity, two previous algorithms modify the computationally efficient sphere decoding algorithm (SDA…”
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    Journal Article
  19. 19

    Improved sphere decoding algorithm based on ±1 quadratic programming by LI Zi1, CAI Yue-ming1

    ISSN: 1000-436X
    Published: Editorial Department of Journal on Communications 01.01.2007
    Published in Tongxin Xuebao (01.01.2007)
    “… derived.An improved sphere decoding algorithm based on these necessary conditions was proposed.The algorithm prunes redundant nodes by necessary conditions based on the origin sphere…”
    Get full text
    Journal Article
  20. 20

    Pruning automatic sphere decoding algorithm and performance analysis by LI Ying, WEI Ji-bo

    ISSN: 1000-436X
    Published: Editorial Department of Journal on Communications 01.01.2007
    Published in Tongxin Xuebao (01.01.2007)
    “…A pruning automatic sphere decoding(PASD) algorithm was presented to reduce the complexity and keep the efficiency of ASD…”
    Get full text
    Journal Article