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estandarización./ 0/ 01 1 1) 1 2 60 1 /0 1 $ /1!/ 0 $0 2 ! @ 0@0 $ /1 /1!/ 1 /; 1 / ,91. 2 ,/ /0 1!/telecomunicaciones. ,/ /0 1electrónicos. ,/ /0 1/ informática) 4 ; * = < $ < < A * G = G < < = < = " * * * A B $ < - = A - ( < = @ A< < < = < = ! < $ < - A ; < < = < < E < $ A< * < - A * 1 A= $ A< * !1 < - B * < - 5 ! ! * < ; ( ; A = $ 1 * 1 4 ( - # # A G * ! ! A *$ < G @= < < < < * < ! A 29: 88A * * ! < 1< !" ; < < < 0@ = D < * 1 * ! = D < < A 1 < < < < < < * < < < < = = $ 1 = 1 < * < < A ;A = < 1 ! < < * G ! ; ;;; 29: 88 A 41 = < = = ! *$ , . 5 $ % # & ; = & ,& - 3 . ; < * < < < A < A *$ * & D < = ! ! < $ ( 1 - = ,< / ?AHAI. < D ! < * < ( < < & A * , < . < * < ?AHAI ; = * ' < / $ A < < ! < - < - 1 & & ( A ) = < - < ( ; $ A @ A ( < A & < ( < < < = < < < = K * * K L < & = * A = < < ! * < < ; < * - = = $ A & <@ < = = < # & A < * < $< @ = < * *+ , A * < ! * J ! < * = < A < ( < A < < ! A L= ! < < :9 899 = 1 + ! 1 ! < * ! - 1 - < < ( ! 1 ( < 3 < ; A * < 3 A - $ < ! " A ! ( < = = ( < < * + K* L < 1 ! * = ! < * 6 < : < A 6 ' < * ( < <A + <1 A A * 3 < ) = < H < = ( A < < = * < A A + + A ) - < * ( ; A < A < * ; < < A - A A < < A ! < < = - < @ B ! A - < * < < L B A< ( < * A * < * < A ! * +A K* / 0 1 & < , & .= < < * D ! < 3 B ;B ) < * " < - 0 * < < = < * ( N 6 * ' " M $" 0 * 1 ,8 89 A< ( < 8 < A ! < :9 = * < < < 85 < < . + < 3 = < N : " < * /99 6 < 1 * N < * * 1 < < = < ) < < ) < 899 < ( 3 < . "M < = : = A 899 1 < C ( D ( * < ) < * A < < 1 < * < <1 : < 3 = < * < * = < ! $ 0 < 1 - = < ( & E! * < ;+O = * < - K< < A < * L= 7 < * < * * ! %: < * = * < = A ) < * " * ! - ( < 8 ! < * ( N1 ' * * " 89 8 3 * < * ! < ! < B 0 < "! ! ! A= < 899 ! 3 < 3 B < /7 < = ( < < < ! < * = A ! < ! = < < # 1 < - * ! * ! P4* $ < $ D D < 3 * - - ! -* < * # 43 $ ,,1 ; ; < < < * < ! < ,< ( < N9. < " $ 0 " < * < * ! < < ! * # < * * < $ ! 8 2% ; 31) $ 1 4 < < " = < * < A - $ $ < < < = < < 1 A ;* < < . < , ! = < < B < < A B ( * < < = < ; ) @= 1 * < < < < : " A< < < = < B < < < $ ,,10 = < " < ( < A * < < . 4 8 08 "8 5 : 0: ": 6 N 0N "N 0 " 0 # ! $ * < < < < * - < = A x1 , x 2 ,.., x N A PA, j ,k < > = A( 6 2 Dado un conjunto A se define como distancia entre x,y∈A a un numero real positivo d(x,y) que cumpla con las siguientes propiedades • Para todo x,y perteneciente a A d(x,y)≥0 • Para todo x,y perteneciente a A d(x,y)=d(y,x) • Si x,y,z∈A entonces d(x,y)+d(y,z)≥d(x,z) 9 - S A, j = @ - N k =1 (P − xk ) 2 A, j , k < S A, j = $< ) < B * < * < .A 6 * = - < = < < ,* < < * ! < ! AP Vecino 1 Vecino 2 AP AP 2% D $ 1 = < < $ < < ( < < - 0 = 3 < % < N 8 1 = 88 B Q" < = 0R ! 4 4 pA = 1 10 = $ < < ;B ; < < < < 3 6 10 8 1 = 0,1536 4 1 @ N 1 1 = B 10 3 B< 6 10 3 4 10 < B < N 1 B 8 ; 89 < pB = 0 < ( 4 11 1 15 = QA = pA 1 1 p A + pB 2 2 y QB = = ; 3 1 1 p A + pB 2 2 Q A = 0,2675 y QB = 0,7325 = < < 1 1 < " = < * < < < , 3 - p j , k ( m) < 6 < A . 1 = ( < p n , k ( m) Pn ,k (m) = = 0,42066 - /NS ; 4 15 89 1 pB = :/S 3 ! p j , k ( m) ( j ; = * * = < = * ; ( < < < < < p n ,k (m1 , m2 ,..., mq ) Pn ,k (m1 , m2 ,..., mq ) = p j ,k (m1 , m2 ,.., mq ) ; * p j ,k (m1 , m2 ,..., mq ) j ; ( < $ < < < < A = < Ψn (m1 , m2 ,..., m q ) = ∏ Pn,k (m1 , m 2 ,..., mq ) < ! k < Ψn ( m1 , m2 ,..., m q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d 4 ;( < Celda 292 A1 295 A1 251 A1 258 A1 261 A1 302 A1 241 A1 244 A1 247 348 354 366 numero_medida 53 56 12 19 22 63 2 5 mac_adress 00:11:95:19:ed:62 00:11:95:19:ed:62 00:11:95:19:ed:62 00:06:25:f4:a6:1d 00:06:25:f4:a6:1d 00:06:25:f4:a6:1d 00:0f:66:8e:c7:b0 00:0f:66:8e:c7:b0 nombreAp intensidad default -67 default -67 default -66 UPlink -73 UPlink -72 UPlink -70 wLanCasa -40 wLanCasa -40 8 25 31 43 00:0f:66:8e:c7:b0 00:11:95:19:ed:62 00:11:95:19:ed:62 00:11:95:19:ed:62 wLanCasa default default default A1 A2 A2 A2 < -27 -75 -74 -74 A < 0 .< 9 ! 9 ( ! 89 +:8 $* * .< < 2 9 5 id *$ 2 2 &*$; 8= " Celda 1 2 3 4 5 6 7 8 9 10 ! nombreAp default UPlink wLanCasa default UPlink wLanCasa default UPlink wLanCasa default A1 A1 A1 A2 A2 A2 A3 A3 A3 A4 cantMediciones 30 24 30 30 30 30 30 28 30 30 $ 2 D < - < C * * < ; * ! - < * 0 ) ! 15 31) < " * < select Celda, nombreAP, avg(medida) from medidas group by Celda, nombre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• ; $ < < < ; • 64* ! * $ = A < B * < < < = ) < < < < < 64* B : * < < * != < * Medición Celda A1 D3 E6 F6 G7 C1 D4 G9 Inexistente Total 64 A < < = < * B < A < * < = < * * < ! A< A < < ! < < B ( = $ * ; " - wLanCasa default UPlink -25 -62 -72 -49 -57 -62 -63 -50 -53 -77 -57 -47 -89 -42 -57 -56 -45 -85 -56 -46 -67 -72 -29 -62 -45 -99 -5 B < k vecinos Celda Error en Estimada Celdas D2 2 D3 0 E4 2 F6 0 G8 1 C4 2 D4 0 G9 0 B5 7 Probabilístico Cercano Celda Error en Estimada Celdas A2 1 D1 2 D1 5 D1 9 D4 9 C1 0 D4 0 G6 2 D1 28 * 3 < - = --4 = < ( < * < = 1 < < ; * != 1 < 1 < < < * < ) 29: 88B * != < * < ) < < * --4 ! < * ; * < 6 ) < = ; 19 = < A - 1 < * * < --4 ) ' ; < < C < B V = < ! ! < B< * < ( < < 6 < ! < - * < = ! * = ) = * 20 ' ?$ 2% 3) ; - < < = - ! , < < < A ( B. < = B < k veci no s D i sp er si ón 60 g11 50 40 f3 f4 x4 f5 f6 f1 f2 30 A1 A2 g12g2 g3 g4 g1 g5 g6 g7 g8 g9 x1 A3 20 g10 c2 A4 b1 b2 10 b5 b3 E5 C1 b4 E6 E4 c3 c4 d1 D2 x2 E3 d4 E2 E1 x3 d3 0 0 5 10 15 20 25 30 35 40 45 50 Método k vecinos 60 50 40 30 20 10 f4 g1 1 f5 g2 g8 g5 g1 0 g4 g3 g1 x1 E6 1 E5 C E4 b5 b3 b2 d4 c4 E2 E1 d3 0 21 . , 5 - H -A 5 >) 3 * " ) * 0 1 ' 6 3 H 3 5 ( 1 1 & 6 C 5 1 6 ) < 6 K 3 >3 L4 :999 " ) 1 K+ ) + 40 -" < +4 D LU :999 -) 1 P C 1 3 6 4) " 5 " - ; < U :99 ; ; A K;;; 29: 88A 1 6 3 > LA E ) 4 - D > -; <- E C 4 A -5 &C A + * W A D A K+ L4 :99 D 0 1 6 D * A K& 6 ) * < - D * 0 6 5 E # * * CK " A 3 A K" << B 3 < < = V 6 " EN%99 L A KE AK ( < D * 5 - D 1 3 >4 3 A K 3 6 * 6 L L * 3 L4 :998 22