IPSJ SIG Technical Report Vol.2014-MBL-70 No.33 Vol.2014-UBI-41 No /3/14 1,a) 1,b) 1 2,c) 1,d) (RSSI).. SPE/RL(Sensor Position Estimation Schem
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1 1,a) 1,b) 1 2,c) 1,d) (RSSI).. SPE/RL(Sensor Position Estimation Scheme using RSSI and Lighting ontrol) [1] Facebook Google+ [2][3][4] [5] [6] 1 Department of Science and Engineering Doshisha Univ. 2 Graduate School of Science and Engineering, Doshisha Univ, 1-3 Tataramiyakodani, Kyotanabe-shi Kyoto, Japan a) tnishihara@mikilab.doshisha.ac.jp b) haida@mail.doshisha.ac.jp c) staniguchi@mikilab.doshisha.ac.jp d) mmiki@mail.doshisha.ac.jp ( / ) / RSSI SPE/RL(Sensor Position Estimation Scheme using RSSI and Lighting ontrol) 2. RSSI RSSI RSSI RSSI MinMax [7] 1
2 RSSI MinMax [8] MinMax RSSI 1 MinMax (1) [7] R R / / R / 2 / 1 / / / / (3) L = 2 cos θ/r (3) 1 MinMax x = (min(x i d i ) max(x i d i ))/2 y = (min(y i d i ) max(y i d i ))/2 (1) x, y: [cm] i: d i : [cm] x i, y i : [cm] / / (2) E = RI (2) E: [cd] R: / [cd/lx] I: [lx] L: [cm] R: [cd/lx] / (3) / / / (3) (4) n f k = (w{(s x l xi ) 2 + (s y l yi ) 2 L 2 i } 2 ) (4) i=0 n: k:w i : l xi : x l yi : y s x : x s y : y L i : [m] ( 1 ) ( 2 ) (2) / ( 3 ) (3) / 2
![( 4 ) n ( 5 ) (4) 3.2 / (5) t = s n (5) t: [sec] s:1 [sec] n: 1 2 15 (5) 30 4. SPE/RL (Sensor Position Estimation Scheme using RSSI and Lighting ontrol) 4.](/docs-images/95/123668772/images/3-0.jpg "1 MinMax SPE/RL(Sensor Position Estimation using RSSI and Lighting ontrol) 1 MinMax 2 1 4.2 SPE/RL 1 1 MinMax 1 1 1 1 1 1 1 c 1 1 c c SPE/RL 7 10 c7 c10 4.")
3 ( 4 ) n ( 5 ) (4) 3.2 / (5) t = s n (5) t: [sec] s:1 [sec] n: (5) SPE/RL (Sensor Position Estimation Scheme using RSSI and Lighting ontrol) 4.1 MinMax SPE/RL(Sensor Position Estimation using RSSI and Lighting ontrol) 1 MinMax SPE/RL 1 1 MinMax c 1 1 c c SPE/RL 7 10 c7 c SPE/RL c c c 1 c / 1 c / 0 / (3) (4) 2 SPE/RL SPE/RL 2 SPE/RL SPE/RL ( 1 ) MinMax ( 1 ) ( 2 ) 1 c ( 3 ) (2) 3
4 情報処理学会研究報告 ( 4 ) 回帰分析により照明と無線照度センサノード間におい て式 (2) で表される照度/光度影響度を求める ( 5 ) 式 (3) にて各照度/光度影響度を基に照明と無線照度 センサノード間の距離を推定する ( 6 ) 推定距離の近い照明 n 灯を選択する ( 7 ) 選択された照明と無線照度センサノード間の距離を利 用し式 (4) を計算し 改善されていれば採択する 0.6 m (第 2 フェーズ) (1) (7) を繰り返すことで 無線照度センサノードの位 1.9 m 置推定を行う SPE/RL では 近傍照明台数 c をできるだ け小さくすることで 照度センサの位置推定に要する時間 の高速化を行う Lighting Fixture Wireless Illuminance Sensor Node nchor Node 5. 評価 図 3 実空間環境とアンカーノードの配置 本論文では 実空間における SPE/RL による位置推定 開始時間高速化の検証を目的とした実空間検証の評価と 大規模照明環境における SPE/RL による位置推定開始時 間高速化の検証を目的とした大規模照明環境検証の評価を 行った また 両検証において近傍照明台数 c が位置推定 誤差および位置推定開始時間に及ぼす影響についての検証 も行った 0.6 m 実空間における SPE/RL の有効性の検証は 知的オフィ ス環境創造システム実験室にて行った 一方 実空間では 1.9 m 大規模照明台数を想定した検証を容易に行うことが出来な い そこで 大規模照明環境検証として照明 50 台が設置さ れたオフィス環境を想定したシミュレーションによる検証 Estimated posision を行った それぞれの検証において MinMax 法を用いた 無線照度センサノードの位置推定は 2 秒間の測定後に行っ Wireless Illumiance Sensor Node Lighting Fixture 図 4 MinMax 法による無線照度センサノードの推定位置 た また 分散照明制御は 1 ステップ 2 秒とした 5.1 実空間検証 1 照明 15 台 無線照度センサノード アンカー ノード 7 台をそれぞれ図 3 のように配置した 照明のと無 線照度センサノード位置関係による誤差を検証するため 無線照度センサノードの配置はそれぞれ照明 1 灯の直下 ノードおよび無線照度センサノード間でパケットを 0.5 秒 場合についてそれぞれ検証を行った 0.6 m 2 灯の間 3 灯の間としている RSSI 取得は 各アンカー 毎に送受信することで行った また c4 c7 c10 c15 の m 8 3 Lighting Fixture 13 Wireless Illumiance Sensor Node Estimated posision 5.2 実空間検証の結果 図 5 第 1 推定位置 近傍の照明の選択状態 (近傍照明台数 c=7) の第 1 推定位置を図 4 の に示す 無線照度センサノード の第 1 次位置推定の誤差 した番号を各照明を特定する照明番号とする 第 1 次位置 はそれぞれ 79 cm 66 cm 213 cm となった このよう 推定の誤差が小さい第 1 推定位置 の近傍照明は 実際 に MinMax 法は状況によっては大きな誤差を生じること の無線照度センサノード の近傍照明を把握できている がある 第 1 次位置推定の誤差が小さい第 1 推定位置 の近傍照 また c7 の場合の第 1 推定位置 および 近傍の照 明については 照明番号 が選択されていない その 明選択の例を図 5 に示す 図 5 において 照明の上に記載 ため 実際の無線照度センサノード の近傍照明を完全に 2014 Information Processing Society of Japan 4
5 (a) (b) (c) / / c 6 c15 c c4 c7 c10 c cm 66 cm 110 cm 140 cm cm 62 cm 61 cm 61 cm c4 c7 c10 c15 85 cm 59 cm 35 cm 49 cm cm 51 cm 46 cm 62 cm c4 c7 c10 c cm 241 cm 76 cm 18 cm cm 54 cm 23 cm 23 cm c c c SPE/RL 5 c MinMax 2m 20 c7 c10 c15 c50 5
6 情報処理学会研究報告 (a) 無線照度センサノード (b) 無線照度センサノード 図 8 (c) 無線照度センサノード 大規模照明環境検証における位置推開始時間及び推定誤差の比較 103 cm 85 cm 79 cm 87 cm である また 100 ステッ 1.2 m プにおける位置推定の誤差は それぞれ 76 cm 57 cm 44 cm 41 cm である 1.2 m 無線照度センサノード で c7 c10 c15 c50 それぞ れの位置推定開始時における位置推定の誤差は それぞれ 0.6 m 100 cm 81 cm 95 cm 83 cm である また 100 ステッ 1.9 m プにおける位置推定の誤差は それぞれ 73 cm 46 cm 26 cm 17 cm である Lighting Fixture 図 7 Wireless Illuminance Sensor Node 大規模照明オフィス環境 (照明 50 台) 実環境検証における結果と同様に 無線照度センサノー ド について 近傍照明台数 c が小さい場合 大 きな位置推定の誤差が生じる傾向にある また 近傍照明 台数 c を小さくすると位置推定開始時間が早くなる 5.4 大規模環境検証の結果 近 傍 照 明 台 数 c15 の と き 100 ス テ ッ プ 目 に お い て SPE/RL により位置推定を行った結果を図 8 に示す 結 SPE/RL による位置推定は分散照明制御による照度セ 果はそれぞれ 20 回の実験における平均値を示している ンサ位置推定手法と同等かそれよりも小さい推定誤差とな 図 8 では近傍照明台数 c 別に系列を分類している ることが分かる 一方で 近傍照明台数 c を大きくすると 無線照度センサノード についてそれぞれ 各 系列について近傍照明台数 c ステップ目から位置推定を開 始している 無線照度センサノード で c7 c10 c15 c50 それぞ 位置推定開始時間が遅くなる また c15 の場合 c50 と比べ 70 秒高速化しているよう に 大規模照明環境において SPE/RL が非常に有効である と言える れの位置推定開始時における位置推定の誤差は それぞれ 106 cm 71 cm 117 cm 93 cm である また 100 ステッ プにおける位置推定の誤差は それぞれ 83 cm 65 cm 55 cm 64 cm である 無線照度センサノード で c7 c10 c15 c50 それぞ 6. 結論と今後の展望 本研究では 分散照明制御による照度センサ位置推定に 要する時間を高速化するため MinMax 法による無線照度 センサノード位置推定手法と分散照明制御による照度セン れの位置推定開始時における位置推定の誤差は それぞれ 2014 Information Processing Society of Japan 6
7 SPE/RL 1 MinMax 2 c c SPE/RL 1 SPE/RL 100 [1] - (2005). [2] Guha, S., Plarre, K., Lissner, D., Mitra, S., Krishna,., Dutta, P. and Kumar, S.: utowitness: Locating and Tracking Stolen Property While Tolerating GPS and Radio Outages (2010). [3] Miluzzo, E., Lane, N. D., Fodor, K., Peterson, R., Lu, H., Musolesi, M., Eisenman, S.., Zheng, X. and ampbell,. T.: Sensing meets mobile social networks: The design, implementation and evaluation of the enceme application, pp (2008). [4] Zhang, Z., hu, D., hen, X. and Moscibroda, T.: Sword- Fight: Enabling a New lass of Phone-to-phone ction Games on ommodity Phones, pp (2012). [5] Priyantha, N.., hakraborty,. and alakrishnan, H.: The ricket Location-support System, pp (2000). [6] Miki, M., Yoshida, K., Hirano, Y. and Ikegami, H.: Estimation of illuminance sensor positions and improvement of energy efficiency in the distributed control lighting system, pp (2013). [7] Langendoen, K. and Reijers, N.: Distributed Localization in Wireless Sensor Networks: Quantitative omparison, omput. Netw., Vol. 43, No. 4, pp (2003). [8] Zanca, G., Zorzi, F., Zanella,. and Zorzi, M.: Experimental omparison of RSSI-based Localization lgorithms for Indoor Wireless Sensor Networks, Proceedings of the Workshop on Real-world Wireless Sensor Networks, RELWSN 08, pp. 1 5 (2008). 7
8 正誤表 照明制御を用いた屋内位置推定高速化手法の基本的検討 に以下の通り誤 りがありましたので, お詫びして訂正いたします. (2014 年 2 月 20 日 ) ページ番号 該当箇所 誤 正 p.1 著者欄 谷口総 1 郎 谷口総一郎
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