id sid tid token lemma pos vh53ws87s8t 1 1 the the DET vh53ws87s8t 1 2 spatial spatial ADJ vh53ws87s8t 1 3 structure structure NOUN vh53ws87s8t 1 4 of of ADP vh53ws87s8t 1 5 base base NOUN vh53ws87s8t 1 6 stations station NOUN vh53ws87s8t 1 7 ( ( PUNCT vh53ws87s8t 1 8 bss bss PROPN vh53ws87s8t 1 9 ) ) PUNCT vh53ws87s8t 1 10 in in ADP vh53ws87s8t 1 11 cellular cellular ADJ vh53ws87s8t 1 12 networks network NOUN vh53ws87s8t 1 13 plays play VERB vh53ws87s8t 1 14 a a DET vh53ws87s8t 1 15 key key ADJ vh53ws87s8t 1 16 role role NOUN vh53ws87s8t 1 17 in in ADP vh53ws87s8t 1 18 evaluating evaluate VERB vh53ws87s8t 1 19 the the DET vh53ws87s8t 1 20 downlink downlink NOUN vh53ws87s8t 1 21 performance performance NOUN vh53ws87s8t 1 22 . . PUNCT vh53ws87s8t 2 1 the the DET vh53ws87s8t 2 2 bss bss PROPN vh53ws87s8t 2 3 are be AUX vh53ws87s8t 2 4 usually usually ADV vh53ws87s8t 2 5 assumed assume VERB vh53ws87s8t 2 6 to to PART vh53ws87s8t 2 7 form form VERB vh53ws87s8t 2 8 a a DET vh53ws87s8t 2 9 lattice lattice NOUN vh53ws87s8t 2 10 or or CCONJ vh53ws87s8t 2 11 a a DET vh53ws87s8t 2 12 poisson poisson NOUN vh53ws87s8t 2 13 point point NOUN vh53ws87s8t 2 14 process process NOUN vh53ws87s8t 2 15 ( ( PUNCT vh53ws87s8t 2 16 ppp ppp NOUN vh53ws87s8t 2 17 ) ) PUNCT vh53ws87s8t 2 18 . . PUNCT vh53ws87s8t 3 1 in in ADP vh53ws87s8t 3 2 reality reality NOUN vh53ws87s8t 3 3 , , PUNCT vh53ws87s8t 3 4 however however ADV vh53ws87s8t 3 5 , , PUNCT vh53ws87s8t 3 6 they they PRON vh53ws87s8t 3 7 are be AUX vh53ws87s8t 3 8 deployed deploy VERB vh53ws87s8t 3 9 neither neither CCONJ vh53ws87s8t 3 10 fully fully ADV vh53ws87s8t 3 11 regularly regularly ADV vh53ws87s8t 3 12 nor nor CCONJ vh53ws87s8t 3 13 completely completely ADV vh53ws87s8t 3 14 randomly randomly ADV vh53ws87s8t 3 15 . . PUNCT vh53ws87s8t 4 1 accordingly accordingly ADV vh53ws87s8t 4 2 , , PUNCT vh53ws87s8t 4 3 in in ADP vh53ws87s8t 4 4 this this DET vh53ws87s8t 4 5 thesis thesis NOUN vh53ws87s8t 4 6 , , PUNCT vh53ws87s8t 4 7 we we PRON vh53ws87s8t 4 8 first first ADV vh53ws87s8t 4 9 use use VERB vh53ws87s8t 4 10 different different ADJ vh53ws87s8t 4 11 spatial spatial ADJ vh53ws87s8t 4 12 stochastic stochastic ADJ vh53ws87s8t 4 13 models model NOUN vh53ws87s8t 4 14 , , PUNCT vh53ws87s8t 4 15 including include VERB vh53ws87s8t 4 16 the the DET vh53ws87s8t 4 17 ppp ppp NOUN vh53ws87s8t 4 18 , , PUNCT vh53ws87s8t 4 19 the the DET vh53ws87s8t 4 20 poisson poisson PROPN vh53ws87s8t 4 21 hard hard ADJ vh53ws87s8t 4 22 - - PUNCT vh53ws87s8t 4 23 core core NOUN vh53ws87s8t 4 24 process process NOUN vh53ws87s8t 4 25 ( ( PUNCT vh53ws87s8t 4 26 phcp phcp PROPN vh53ws87s8t 4 27 ) ) PUNCT vh53ws87s8t 4 28 , , PUNCT vh53ws87s8t 4 29 the the DET vh53ws87s8t 4 30 strauss strauss ADJ vh53ws87s8t 4 31 process process NOUN vh53ws87s8t 4 32 ( ( PUNCT vh53ws87s8t 4 33 sp sp NOUN vh53ws87s8t 4 34 ) ) PUNCT vh53ws87s8t 4 35 , , PUNCT vh53ws87s8t 4 36 and and CCONJ vh53ws87s8t 4 37 the the DET vh53ws87s8t 4 38 perturbed perturb VERB vh53ws87s8t 4 39 triangular triangular ADJ vh53ws87s8t 4 40 lattice lattice NOUN vh53ws87s8t 4 41 , , PUNCT vh53ws87s8t 4 42 to to PART vh53ws87s8t 4 43 model model VERB vh53ws87s8t 4 44 the the DET vh53ws87s8t 4 45 spatial spatial ADJ vh53ws87s8t 4 46 structure structure NOUN vh53ws87s8t 4 47 by by ADP vh53ws87s8t 4 48 fitting fit VERB vh53ws87s8t 4 49 them they PRON vh53ws87s8t 4 50 to to ADP vh53ws87s8t 4 51 the the DET vh53ws87s8t 4 52 locations location NOUN vh53ws87s8t 4 53 of of ADP vh53ws87s8t 4 54 bss bss PROPN vh53ws87s8t 4 55 in in ADP vh53ws87s8t 4 56 real real ADJ vh53ws87s8t 4 57 cellular cellular ADJ vh53ws87s8t 4 58 networks network NOUN vh53ws87s8t 4 59 obtained obtain VERB vh53ws87s8t 4 60 from from ADP vh53ws87s8t 4 61 a a DET vh53ws87s8t 4 62 public public ADJ vh53ws87s8t 4 63 database database NOUN vh53ws87s8t 4 64 . . PUNCT vh53ws87s8t 5 1 we we PRON vh53ws87s8t 5 2 propose propose VERB vh53ws87s8t 5 3 the the DET vh53ws87s8t 5 4 coverage coverage NOUN vh53ws87s8t 5 5 probability probability NOUN vh53ws87s8t 5 6 ( ( PUNCT vh53ws87s8t 5 7 the the DET vh53ws87s8t 5 8 probability probability NOUN vh53ws87s8t 5 9 that that SCONJ vh53ws87s8t 5 10 the the DET vh53ws87s8t 5 11 signal signal NOUN vh53ws87s8t 5 12 - - PUNCT vh53ws87s8t 5 13 to to ADP vh53ws87s8t 5 14 - - PUNCT vh53ws87s8t 5 15 interference interference NOUN vh53ws87s8t 5 16 - - PUNCT vh53ws87s8t 5 17 plus plus CCONJ vh53ws87s8t 5 18 - - PUNCT vh53ws87s8t 5 19 noise noise NOUN vh53ws87s8t 5 20 - - PUNCT vh53ws87s8t 5 21 ratio ratio NOUN vh53ws87s8t 5 22 ( ( PUNCT vh53ws87s8t 5 23 sinr sinr NOUN vh53ws87s8t 5 24 ) ) PUNCT vh53ws87s8t 5 25 exceeds exceed VERB vh53ws87s8t 5 26 a a DET vh53ws87s8t 5 27 threshold threshold NOUN vh53ws87s8t 5 28 ) ) PUNCT vh53ws87s8t 5 29 as as ADP vh53ws87s8t 5 30 the the DET vh53ws87s8t 5 31 criterion criterion NOUN vh53ws87s8t 5 32 for for ADP vh53ws87s8t 5 33 the the DET vh53ws87s8t 5 34 goodness goodness NOUN vh53ws87s8t 5 35 - - PUNCT vh53ws87s8t 5 36 of of ADP vh53ws87s8t 5 37 - - PUNCT vh53ws87s8t 5 38 fit fit ADJ vh53ws87s8t 5 39 , , PUNCT vh53ws87s8t 5 40 and and CCONJ vh53ws87s8t 5 41 provide provide VERB vh53ws87s8t 5 42 two two NUM vh53ws87s8t 5 43 general general ADJ vh53ws87s8t 5 44 approaches approach NOUN vh53ws87s8t 5 45 for for ADP vh53ws87s8t 5 46 fitting fitting NOUN vh53ws87s8t 5 47 . . PUNCT vh53ws87s8t 6 1 one one NUM vh53ws87s8t 6 2 approach approach NOUN vh53ws87s8t 6 3 is be AUX vh53ws87s8t 6 4 fitting fitting ADJ vh53ws87s8t 6 5 by by ADP vh53ws87s8t 6 6 the the DET vh53ws87s8t 6 7 method method NOUN vh53ws87s8t 6 8 of of ADP vh53ws87s8t 6 9 maximum maximum ADJ vh53ws87s8t 6 10 pseudolikelihood pseudolikelihood NOUN vh53ws87s8t 6 11 . . PUNCT vh53ws87s8t 7 1 as as ADP vh53ws87s8t 7 2 for for ADP vh53ws87s8t 7 3 the the DET vh53ws87s8t 7 4 fitted fit VERB vh53ws87s8t 7 5 models model NOUN vh53ws87s8t 7 6 , , PUNCT vh53ws87s8t 7 7 the the DET vh53ws87s8t 7 8 sp sp NOUN vh53ws87s8t 7 9 provides provide VERB vh53ws87s8t 7 10 a a DET vh53ws87s8t 7 11 better well ADJ vh53ws87s8t 7 12 fit fit NOUN vh53ws87s8t 7 13 than than ADP vh53ws87s8t 7 14 the the DET vh53ws87s8t 7 15 ppp ppp NOUN vh53ws87s8t 7 16 and and CCONJ vh53ws87s8t 7 17 the the DET vh53ws87s8t 7 18 phcp phcp PROPN vh53ws87s8t 7 19 . . PUNCT vh53ws87s8t 8 1 the the DET vh53ws87s8t 8 2 other other ADJ vh53ws87s8t 8 3 approach approach NOUN vh53ws87s8t 8 4 is be AUX vh53ws87s8t 8 5 fitting fitting ADJ vh53ws87s8t 8 6 by by ADP vh53ws87s8t 8 7 the the DET vh53ws87s8t 8 8 method method NOUN vh53ws87s8t 8 9 of of ADP vh53ws87s8t 8 10 minimum minimum ADJ vh53ws87s8t 8 11 contrast contrast NOUN vh53ws87s8t 8 12 that that PRON vh53ws87s8t 8 13 minimizes minimize VERB vh53ws87s8t 8 14 the the DET vh53ws87s8t 8 15 average average ADJ vh53ws87s8t 8 16 squared squared ADJ vh53ws87s8t 8 17 error error NOUN vh53ws87s8t 8 18 of of ADP vh53ws87s8t 8 19 the the DET vh53ws87s8t 8 20 coverage coverage NOUN vh53ws87s8t 8 21 probability probability NOUN vh53ws87s8t 8 22 . . PUNCT vh53ws87s8t 9 1 this this DET vh53ws87s8t 9 2 way way NOUN vh53ws87s8t 9 3 , , PUNCT vh53ws87s8t 9 4 fitted fit VERB vh53ws87s8t 9 5 models model NOUN vh53ws87s8t 9 6 are be AUX vh53ws87s8t 9 7 obtained obtain VERB vh53ws87s8t 9 8 whose whose DET vh53ws87s8t 9 9 coverage coverage NOUN vh53ws87s8t 9 10 performance performance NOUN vh53ws87s8t 9 11 matches match NOUN vh53ws87s8t 9 12 that that PRON vh53ws87s8t 9 13 of of ADP vh53ws87s8t 9 14 the the DET vh53ws87s8t 9 15 given give VERB vh53ws87s8t 9 16 data datum NOUN vh53ws87s8t 9 17 set set VERB vh53ws87s8t 9 18 very very ADV vh53ws87s8t 9 19 accurately accurately ADV vh53ws87s8t 9 20 . . PUNCT vh53ws87s8t 10 1 second second ADV vh53ws87s8t 10 2 , , PUNCT vh53ws87s8t 10 3 we we PRON vh53ws87s8t 10 4 consider consider VERB vh53ws87s8t 10 5 the the DET vh53ws87s8t 10 6 very very ADV vh53ws87s8t 10 7 general general ADJ vh53ws87s8t 10 8 class class NOUN vh53ws87s8t 10 9 of of ADP vh53ws87s8t 10 10 motion motion NOUN vh53ws87s8t 10 11 - - PUNCT vh53ws87s8t 10 12 invariant invariant ADJ vh53ws87s8t 10 13 point point NOUN vh53ws87s8t 10 14 processes process NOUN vh53ws87s8t 10 15 as as ADP vh53ws87s8t 10 16 models model NOUN vh53ws87s8t 10 17 for for ADP vh53ws87s8t 10 18 the the DET vh53ws87s8t 10 19 bss bss PROPN vh53ws87s8t 10 20 and and CCONJ vh53ws87s8t 10 21 theoretically theoretically ADV vh53ws87s8t 10 22 analyze analyze VERB vh53ws87s8t 10 23 the the DET vh53ws87s8t 10 24 behavior behavior NOUN vh53ws87s8t 10 25 of of ADP vh53ws87s8t 10 26 the the DET vh53ws87s8t 10 27 outage outage NOUN vh53ws87s8t 10 28 probability probability NOUN vh53ws87s8t 10 29 . . PUNCT vh53ws87s8t 11 1 ( ( PUNCT vh53ws87s8t 11 2 complement complement NOUN vh53ws87s8t 11 3 of of ADP vh53ws87s8t 11 4 the the DET vh53ws87s8t 11 5 coverage coverage NOUN vh53ws87s8t 11 6 probability probability NOUN vh53ws87s8t 11 7 ) ) PUNCT vh53ws87s8t 11 8 . . PUNCT vh53ws87s8t 12 1 we we PRON vh53ws87s8t 12 2 show show VERB vh53ws87s8t 12 3 that that SCONJ vh53ws87s8t 12 4 , , PUNCT vh53ws87s8t 12 5 remarkably remarkably ADV vh53ws87s8t 12 6 , , PUNCT vh53ws87s8t 12 7 the the DET vh53ws87s8t 12 8 slope slope NOUN vh53ws87s8t 12 9 of of ADP vh53ws87s8t 12 10 the the DET vh53ws87s8t 12 11 outage outage NOUN vh53ws87s8t 12 12 probability probability NOUN vh53ws87s8t 12 13 ( ( PUNCT vh53ws87s8t 12 14 in in ADP vh53ws87s8t 12 15 db db NOUN vh53ws87s8t 12 16 ) ) PUNCT vh53ws87s8t 12 17 as as ADP vh53ws87s8t 12 18 a a DET vh53ws87s8t 12 19 function function NOUN vh53ws87s8t 12 20 of of ADP vh53ws87s8t 12 21 the the DET vh53ws87s8t 12 22 threshold threshold NOUN vh53ws87s8t 12 23 ( ( PUNCT vh53ws87s8t 12 24 also also ADV vh53ws87s8t 12 25 in in ADP vh53ws87s8t 12 26 db db PROPN vh53ws87s8t 12 27 ) ) PUNCT vh53ws87s8t 12 28 is be AUX vh53ws87s8t 12 29 the the DET vh53ws87s8t 12 30 same same ADJ vh53ws87s8t 12 31 for for ADP vh53ws87s8t 12 32 essentially essentially ADV vh53ws87s8t 12 33 all all DET vh53ws87s8t 12 34 motion motion NOUN vh53ws87s8t 12 35 - - PUNCT vh53ws87s8t 12 36 invariant invariant ADJ vh53ws87s8t 12 37 point point NOUN vh53ws87s8t 12 38 processes process NOUN vh53ws87s8t 12 39 , , PUNCT vh53ws87s8t 12 40 as as SCONJ vh53ws87s8t 12 41 the the DET vh53ws87s8t 12 42 threshold threshold NOUN vh53ws87s8t 12 43 goes go VERB vh53ws87s8t 12 44 to to ADP vh53ws87s8t 12 45 zero zero NUM vh53ws87s8t 12 46 . . PUNCT vh53ws87s8t 13 1 the the DET vh53ws87s8t 13 2 slope slope NOUN vh53ws87s8t 13 3 merely merely ADV vh53ws87s8t 13 4 depends depend VERB vh53ws87s8t 13 5 on on ADP vh53ws87s8t 13 6 the the DET vh53ws87s8t 13 7 fading fade VERB vh53ws87s8t 13 8 statistics statistic NOUN vh53ws87s8t 13 9 . . PUNCT vh53ws87s8t 14 1 using use VERB vh53ws87s8t 14 2 this this DET vh53ws87s8t 14 3 result result NOUN vh53ws87s8t 14 4 , , PUNCT vh53ws87s8t 14 5 we we PRON vh53ws87s8t 14 6 introduce introduce VERB vh53ws87s8t 14 7 the the DET vh53ws87s8t 14 8 notion notion NOUN vh53ws87s8t 14 9 of of ADP vh53ws87s8t 14 10 the the DET vh53ws87s8t 14 11 asymptotic asymptotic ADJ vh53ws87s8t 14 12 deployment deployment NOUN vh53ws87s8t 14 13 gain gain NOUN vh53ws87s8t 14 14 ( ( PUNCT vh53ws87s8t 14 15 adg adg NOUN vh53ws87s8t 14 16 ) ) PUNCT vh53ws87s8t 14 17 , , PUNCT vh53ws87s8t 14 18 which which PRON vh53ws87s8t 14 19 characterizes characterize VERB vh53ws87s8t 14 20 the the DET vh53ws87s8t 14 21 horizontal horizontal ADJ vh53ws87s8t 14 22 gap gap NOUN vh53ws87s8t 14 23 between between ADP vh53ws87s8t 14 24 the the DET vh53ws87s8t 14 25 coverage coverage NOUN vh53ws87s8t 14 26 probability probability NOUN vh53ws87s8t 14 27 of of ADP vh53ws87s8t 14 28 the the DET vh53ws87s8t 14 29 ppp ppp NOUN vh53ws87s8t 14 30 and and CCONJ vh53ws87s8t 14 31 another another DET vh53ws87s8t 14 32 point point NOUN vh53ws87s8t 14 33 process process NOUN vh53ws87s8t 14 34 in in ADP vh53ws87s8t 14 35 the the DET vh53ws87s8t 14 36 high high ADJ vh53ws87s8t 14 37 - - PUNCT vh53ws87s8t 14 38 reliability reliability NOUN vh53ws87s8t 14 39 regime regime NOUN vh53ws87s8t 14 40 ( ( PUNCT vh53ws87s8t 14 41 where where SCONJ vh53ws87s8t 14 42 the the DET vh53ws87s8t 14 43 coverage coverage NOUN vh53ws87s8t 14 44 probability probability NOUN vh53ws87s8t 14 45 is be AUX vh53ws87s8t 14 46 near near ADP vh53ws87s8t 14 47 1 1 NUM vh53ws87s8t 14 48 ) ) PUNCT vh53ws87s8t 14 49 . . PUNCT vh53ws87s8t 15 1 to to PART vh53ws87s8t 15 2 demonstrate demonstrate VERB vh53ws87s8t 15 3 the the DET vh53ws87s8t 15 4 usefulness usefulness NOUN vh53ws87s8t 15 5 of of ADP vh53ws87s8t 15 6 the the DET vh53ws87s8t 15 7 adg adg NOUN vh53ws87s8t 15 8 for for ADP vh53ws87s8t 15 9 the the DET vh53ws87s8t 15 10 characterization characterization NOUN vh53ws87s8t 15 11 of of ADP vh53ws87s8t 15 12 the the DET vh53ws87s8t 15 13 coverage coverage NOUN vh53ws87s8t 15 14 , , PUNCT vh53ws87s8t 15 15 we we PRON vh53ws87s8t 15 16 investigate investigate VERB vh53ws87s8t 15 17 the the DET vh53ws87s8t 15 18 coverage coverage NOUN vh53ws87s8t 15 19 probabilities probability NOUN vh53ws87s8t 15 20 and and CCONJ vh53ws87s8t 15 21 the the DET vh53ws87s8t 15 22 adgs adgs ADJ vh53ws87s8t 15 23 for for ADP vh53ws87s8t 15 24 different different ADJ vh53ws87s8t 15 25 point point NOUN vh53ws87s8t 15 26 processes process NOUN vh53ws87s8t 15 27 and and CCONJ vh53ws87s8t 15 28 fading fade VERB vh53ws87s8t 15 29 statistics statistic NOUN vh53ws87s8t 15 30 by by ADP vh53ws87s8t 15 31 simulations simulation NOUN vh53ws87s8t 15 32 . . PUNCT