Crowdsource Based Indoor Localization by Uncalibrated Heterogeneous Wi-Fi Devices

Many indoor localization techniques that rely on received signals fromWi-Fi access points have been explored in the last decade. Recently, crowdsourced Wi-Fi fingerprint attracts much attention, which leads to a self-organized localization system avoiding painful survey efforts. However, this participatory approach introduces new challenges with no previously proposed techniques such as heterogeneous devices, short measurement time, and multiple values for a single position. This paper proposes an efficient localization method combating the three major technical issues in the crowdsourcing based systems. We evaluate our indoor positioning method using 5 places with different radio environment and 8 different mobile phones. The experimental results show that the proposed approach provides consistent localization accuracy and outperforms existing localization algorithms.


Introduction
Navigation ability of smart phones and tablets at indoor environment becomes a challenge as recent mobile Location Based Services (LBSs) [1][2][3] require more accurate and seamless positioning at both indoor and outdoor environment.Outdoor localization had been provided reasonably by global satellite positioning systems using Global Positioning System (GPS), GLObal NAvigation Satellite System (GLONASS), Galileo, and so forth.On contrary, the indoor localization still continues to a challenge even though it has been exploited during last several years.Several techniques for the indoor localization have been proposed [4][5][6].In a survey of indoor localization techniques [7], many techniques are compared such as GPS, RFID, WLAN, and Bluetooth in terms of accuracy, complexity, and scalability.Some of previous works uses a specially designed hardware like a beacon installed on walls or ceilings such as RFID, ultrasound, and infrared technologies [8][9][10].Other systems use a combination of different sensors to increase accuracy [11,12].Those which use the hardware of short range communication technologies are costly to deploy on a large area, even though those systems provide fine-grained accuracy in indoor localization.
In contrast, Wi-Fi based positioning systems are very common and easily achieved as shown that Internet map services of Google, Apple, Microsoft, and so forth already use received signals from many deployed access points (APs) for localization.Recently, Wi-Fi is becoming more popular and ubiquitous with countless Wi-Fi-enabled smart devices.Accordingly, indoor localization using the Wi-Fi APs receives much attention from mobile computing research area, which has the advantage of avoiding the cost of specialized hardware deployment.
Typically, Wi-Fi based localization estimates the location based on observed and stored "fingerprints" which are composed of a MAC address and corresponding Received Signal Strength (RSS) value from a Wi-Fi AP [10,13].While previous researches mainly dealt with localization algorithms to improve accuracy based on the fingerprint database, recent studies focus on building the database with less effort."Crowdsource" Based Indoor Localization (CIL) [14][15][16][17][18][19] by autonomous users is one of cost efficient approaches, which 2 Mobile Information Systems reduces the map building and maintenance expense compared to an expert surveyor based approach.The CIL is driven by normal mobile users who participate in the Wi-Fi AP survey as a contributor, a user, or both.Also, this multiple-surveyor-multiple-user model has the advantages of fast radio map building and quick update.Figure 1 shows an example of the CIL, which consists of two phases: "training phase" (or "offline phase") and "localization phase" (or "online phase").In the training phase, fingerprint data of locations have been captured to establish a radio map.After then, mobile phones inquire their location with measured fingerprint data to a remote server that holds the radio map in the localization phase.In the figure, the five users (i.e., A, B, C, D, and E) are untrained normal people who are carrying different types of mobile phones.Users A, D, and E are surveyors for Room 101, Room 102, and Room 103 who measure RSS of Wi-Fi APs and upload the measured data with corresponding AP information to a local DB server.The uploaded data is processed on the server and converted to fingerprint data.When user B inquires the current location information, the server returns to Room 101 if user B's RSS measurement matches one from the user A.
However, the CIL also introduces a new set of challenges.First, the CIL has to extract accurate fingerprint values from short measurement time for Received Signal Strength (RSS) because the mobile users as voluntary surveyors probably provide short-term RSS measurements.Second, the CIL has to support calibration-free indoor localization across different devices.Typically, users as surveyors carry various types of devices in terms of hardware and software, for example, Wi-Fi chipsets, antenna pattern, and operating systems.The RSS measurement results in different values across the heterogeneous devices even at exactly the same positions.
This crowdsourcing approach has been considered in many recent researches [14][15][16][17][18][19].However, many of them address those challenges in the CIL.In [20] about surveyfree localization, several researches [21][22][23] dealt with heterogeneous devices for CIL using difference of RSS samples from APs instead of absolute RSS values to combat measurement variance from heterogeneous devices.Previously, we proposed "Freeloc" [24] that uses a list of APs ordered by RSS for the fingerprint instead of the RSS itself.Thus, the Freeloc consistently results in robust and reliable outcomes resolving those challenges.In this paper, we compare the Freeloc with existing practical indoor localization algorithms for the CIL in terms of accuracy.In addition, we investigate how to decide a gap between sample RSSs for difference localization environment and conduct measurement study for the Freeloc in variance of wireless channel because of interference from dense Wi-Fi APs, deep fading from many pedestrians, and path loss from short distance.
The remainder of this paper is organized as follows: we introduce background knowledge with related works on indoor localization schemes in Section 2. Section 3 introduces existing localization algorithms for CIL.Section 4 describes our system and algorithm together with the three major challenges covered in the CIL.We show the performance evaluation and comparison with existing localization algorithms from Sections 5 to 7. In Section 5, Freeloc Where am I?
Where am I? performance is compared according to various localization environment.We compare Freeloc with other CIL algorithms in Section 6.In Section 7, Freeloc performance is investigated with varying delta values.We conclude the paper in Section 8.

Background
2.1.Indoor Localization Techniques.Many indoor localization techniques have been proposed over the past decade.Some indoor localization techniques require special hardware to determine the devices location like active badge [9] and active bat [25] that are attached on ceilings and walls of buildings and transmits out infrared and ultrasound pulses for proximity estimation.The cricket and cricket compass [8,26] used a combination of RF and ultrasound technologies.Techniques using active RFID were also proposed [27,28].
Recently, Wi-Fi based indoor localization receives much attention as Wi-Fi APs become used for outdoor localization.Like the outdoor localization in cellular networks, triangulation using time difference of signal arrival from neighbour APs can be considered [13,29].This time of arrival (TOA) based approach could suffer from timely varying signal path at complex indoor environment.Instead, Received Signal Strength (RSS) can be used.RADAR [10] adopts this RF signal intensity first for the purpose of indoor localization.Now, many researchers concentrate on techniques that use Wi-Fi RSS data.Studies like [30] analyzed the properties of Received Signal Strength values reported by wireless network interface cards.References [5,31] show that the Wi-Fi fingerprint (i.e., a basic service set identification (BSSID) and its RSS value) methods can fulfil accuracy required for many indoor LBS applications.

Crowdsourced Indoor Localization.
Survey-free localization [16][17][18][19] or Crowdsource Based Indoor Localization (CIL) [14,15] has rigorously been explored in order to reduce effort and cost involved in expert surveyor based system as smart hand-held devices are deployed widely.The CIL is a selforganized participatory system where normal mobile users contribute measurement of Wi-Fi fingerprints at various locations for localization.Reference [15] carried out experiments in indoor environments and have discussed encouraging results.Teller et al. in [16] have designed and deployed an organic location system and achieved position accuracy that is comparable to the accuracy achieved by a survey driven system.A crowdsourcing based approach by Ledlie et al. models the world as a tree of hierarchical namespaces and provides an algorithm that explicitly accounts for temporal variations in signal space [19].Recently, accelerator assisted dead-reckoning techniques are adopted for enhancing accuracy of crowdsourced indoor localization [11,12].
A main issue with the CIL is the heterogeneity of hardware devices, usually a variety of mobile phones, to collect Wi-Fi fingerprints during the training phase.This leads to variation in the values of observed signal strength measurements due to the different chipsets present on different devices.Park et al. explore this issue in [17] and compare various methods used to mitigate this problem.The main parameters that are used are signal strength values and access point detection.The Kernel function based estimation, which predicts user location using a naive Bayes classifier, has been proposed to obtain better results than linear transformation based approaches [32].Tsui et al. proposed an unsupervised learning method that automatically tries to solve hardware variance problem in Wi-Fi localization [33].Wu et al. proposed site survey-free indoor localization with off-the-shelf devices, which needs complex conversion from virtual to physical space based on measurement [21].References [22][23][24] show that robust fingerprints can be derived using signal strength difference (SSD), instead of absolute RSS values in the heterogeneous mobile devices for measurement.

Localization Algorithm for CIL
Although several localization algorithms were proposed for CIL, most of them use log-distance or similarity of RSSs [20].We introduce several practical approaches that are less complicated and easy to apply for the fingerprint based indoor localization to compare performance with Freeloc.
First, Euclidean distance of RSSs of -nearest neighbours (-NN) is calculated to find a location with minimum value of summation of the distance values.Here we consider unweighted -NN in which distance values are equally added at the summation.Second, similarity based on the Tanimoto coefficient is considered.Third, we evaluate the -gram that compares BSSID subsequences between two fingerprints to calculate probability of appearance of the same contiguous subsequence.With these four algorithms, we apply the same experiment environment that is used for "Freeloc" evaluation for the comparison: where   is locations { 0 ,  1 , . . .,   } and   is a measured fingerprint and    is a stored fingerprint of location .That is to say, -NN selects a location that has minimum sum of distance of most strong  fingerprints between the measured and stored values.(ii) Two fingerprint similarities can be evaluated by Tanimoto coefficient, which is widely used for estimating similarity of Wi-Fi fingerprints.Reference [34] shows that place detection can be achieved by similarity of radio environment using Tanimoto coefficient.As in below equation, location   with maximum Tanimoto coefficient can be chosen: arg max (iii) -gram algorithm is a different approach compared to above two approaches, which calculates likelihood of two subsequences of the measured and stored fingerprints [35].-gram only concerns strength order of the fingerprints while -NN and Tanimoto considers signal strength itself.The order of fingerprint strength does not change probably even if the signal strength of the fingerprints changes dynamically.For this, -gram sorts the fingerprints in descending order of the RSS and compares subsequences of the fingerprints.For instance, subsequence -gram (  ) = {  ,  +1 , . . .,  +−1 } is a fingerprint sequence from a th fingerprint to a  + ( − 1)th fingerprint with size of .Here we can find a location,   that maximizes a following equation: That is to say, the algorithm selects a location with maximum probability that a set of the subsequences   appears in the location   .-gram motivates us to improve it for crowdsourced localization in which measured fingerprints are varying with locations and devices as described in a following subsection.

Freeloc: Calibration-Free Indoor Localization
In this section, we briefly describe our localization algorithm, Freeloc, with a usage scenario in Figure 1.Freeloc solves following three critical challenges in fingerprint derivation based on the RSSs captured by untrained mobile users: (i) RSS measurement for short duration: it is well known that multipath fading in an indoor environment causes RSS to fluctuate over time even if the receiver is absolutely fixed [36].One simple method to reduce RSS variance is to record the RSS data for a long time.As the number of RSS samples increases it is easier to identify one single fingerprint value which ensures construction of a more robust and accurate radio map.However, it is almost impossible to have normal users collect RSS data for such a long time in the crowdsourcing based model.We believe that the RSS survey time at each location will not exceed one minute assuming all the surveyors are usual mobile users.Therefore, a technique that extracts accurate fingerprint data from short-time measurement is necessary.
(ii) Device heterogeneity in CIL system: it is inevitable that diverse devices get involved in establishing the radio map database.Since there is no expert surveyor who uses specially designed hardware, it is highly likely that the RSS data gathered from each user varies even though it is collected at the exact same position.Different chipsets and antenna designs of the Wi-Fi devices cause varying RSS records per each device and make it difficult to calibrate them.This device heterogeneity is another key problem for crowdsourced localization.
(iii) Multiple measurements for one location: another problem is that more than one user can upload one's own fingerprint data with the same location label, but it is obtained at different measurement points.This results in multiple fingerprint data sets for one location, which leads to inefficient memory usage and more time to estimate the current location.None of the previous studies take this into account even though this is also a principal cause of localization accuracy degradation.

Fingerprint Value Extraction.
This section presents how a RSS value of each fingerprint can be extracted at a particular location with variation in response rate and RSS values.In contrast RSS can be measured for a long time (e.g., from more than one hour to a month) to get average value in the expert surveyor system [37]; CIL has short measurement duration to extract robust fingerprint.We propose a practical and resilient RSS abstraction method for the fingerprint based on the experimental results we conducted: (i) AP response rate: in our experiments, we observed strong correlation between AP response rate and RSS.Ledlie et al. [19] thought that the correlation between the response rate and RSS is rather weak, which led to using the response rate as fingerprint information with RSS.(5) for each AP  in Fp unknown do (6) if AP  is found in Fp Loc  at th AP then (7) b s s i d MAP ← (AP ,() ) vector where AP  = AP  (8) for each BSSID in AP ,() do (9) if BSSID is found in bssid MAP then (10) s c o r e ← score + 1 (11) end if (12) end for (13) end if (14) end for (15) if score > score MAX then (16) score MAX ← score (17) Loc← Loc  (18) end if (19) end for (20)  In contrast to several approaches using RSS difference of APs for fingerprints, Freeloc generates fingerprints using an AP order instead of RSS value itself as shown in Each fingerprint data element Fp of location Loc  has a location label Loc  (e.g., room number) where measurement is taken, and a detected AP's BSSID (AP  ) that has the th strongest  fp .(AP , ) is an order of other detected APs' BSSIDs of which RSS is weaker than RSS of the AP  by more than  value.Our proposed method adopts the delta () as a marginal value for varying RSS which is different from -gram [35] that considers only similarity between two continuous subsequences of the ordered fingerprint even though both schemes focus on relationship between detected APs in terms of RSS, rather than RSS value itself.The delta value keeps the relationship consistent under wireless channel fading and enables our method to deal with heterogeneous devices without calibration efforts and also multiple Fp elements for the same location from many different devices.For example, suppose that users A and D are the surveyors and users B and C want to know their positions in Figure 1, and the measurement of user A-D is presented in Table 1; the fingerprints of Rooms 101 and 102 can be defined in Table 2.For instance, AP1 with −50 dBm RSS value has 4  In order to achieve fast retrieval (line 4 in Algorithm 1), we utilize an "importance flag," a one-bit flag in fingerprint data, Table 2.The flag is set if the AP  ranks high with strong RSS.When the localization server receives such location request, it selects fingerprint data with flagged AP  in the map which matches the flagged AP  in the request data.
For example, in the same aforementioned scenario, the flagged AP  s are {AP1 and AP2} for Room 101 and {AP6 and AP5} for Room 102 if we set the criterion for the flag as the top two APs.The flagged AP  s are marked with asterisk in Table 2.When users B and C request their positions, at least one flagged AP *  in their fingerprint data is found in the fingerprint data of Room 101 (i.e., AP1 for user B and AP2 for user C) while no matching flagged AP is found in the fingerprint data of Room 102.Therefore, only Room 101 is considered for the possible location in this example.However, we can be bothered from high rank AP *  s if adjacent locations have high probability of receiving strong RSS from the same APs.If no matches are found, we regard the position where the measurement is taken as an unlabeled location.

Fingerprint Update.
In CIL, mobile users as surveyors upload continuously different fingerprints for the same location with their heterogeneous devices, which increases the number of RSS data sets for the same location label in the map database and time to compare all sets for localization.
Freeloc can provide a simple update procedure that builds a unique fingerprint without any calibration, which just merges multiple fingerprints into a single fingerprint.For example, the new fingerprint data will be established as in Table 4 if B uploads its RSS measurements with the same location label as shown in Table 3

Performance Comparison at Different Environment
From this section, we evaluate the Freeloc with 8 multivendor smart phones in Table 5 which have different Wi-Fi hardware chipsets and mobile OSs.For evaluation, we varied the number and type of devices which participate in the fingerprint map for each user device.The same device was never used for both generating fingerprinting map and localization.In the experiment, Freeloc localization algorithm is demonstrated for feasibility of CIL with heterogeneous multiple devices at corridor based office buildings.Localization results from the heterogeneous devices at the Gachon University are shown in Figure 3. First three bars are the cases when only one device was used for the fingerprinting.The next three bars are the cases when the fingerprint maps were generated from two different devices and these fingerprint    maps were merged to form one fingerprint map.The last bar denotes the case when fingerprint maps have been generated from three different devices and merged.

Building
Figure 3 shows that the accuracy did not degrade mostly when more than one fingerprint data from different devices are merged.Particularly, HTC Desire HD (D) results in higher distance error to any fingerprint created by other phones.The distance error has been observed exceeding 4 m with the Desire HD.But the distance error decreases with additional fingerprints combined by other heterogeneous devices to less than 1 m.Herein we can conjecture that more additional measurements from other heterogeneous devices contribute to reduce the distance error.Furthermore, the distance error will decrease considerably as the homogeneity of devices increase in the crowdsourced system.
Experiment results in Gachon and UCLA buildings [24] show that Freeloc can provide consistent performance among heterogeneous devices.According to our observation in Figure 5 [24], error distance in Gachon IT building is less than UCLA engineering building, about 1 versus 3 m, which implies that the number of APs and degree of their distribution can affect localization performance in the Freeloc.

Residential Area.
Next localization experiment for small residential area had been conducted at UCLA laboratory and a residential house, which have many different types of furniture and only a few residential people stay.However, the UCLA laboratory is partitioned by thin plywood for rooms and the partitions do not reach to ceiling while the residential house has rooms separated by thick concrete walls, for example, a living room, a kitchen, and a restroom.In the residential house and UCLA laboratory, 29 and 34 positions are measured, respectively.Each of the measurement points is approximately 1.5 m apart.
Figure 4 depicts distance errors of a resident house with three heterogeneous devices (D, S, and V).Cross-device error exceeds 1.5 m that is a distance between measurement positions in case of localization with a single fingerprint.However, the distance error becomes less than the 1.5 m with two fingerprints given by heterogeneous devices.In all cases of the figure, the accuracy did not degrade when more than one fingerprint data from different devices are merged.This reaffirms that the Freeloc can be a feasible solution for the CIL.
The localization performance at the resident house shows better than UCLA laboratory in Figure 5 even though their sizes are similar.We can conclude that the residential house can obtain unique and stable fingerprints rather than the UCLA laboratory since the rooms of the resident house are separated by the concrete walls and channel variation caused by residential people is smaller (e.g., more than 10 students in the UCLA laboratory and 2 residents in the house).
Figure 5 shows that the average distance error at the UCLA laboratory compared to the third floor of UCLA engineering building.The distance error at the UCLA laboratory is higher the third floor where the measurement point interval is longer than the laboratory (1.5 versus 6 m).
The reason for this observation of degraded accuracy in the laboratory can be difficulty to have a unique fingerprint compared to the third floor that has more unique fingerprints formed with thick concrete walls of the building due to path loss while the laboratory is made of thin plywood material for rooms inside.
Figure 6 shows score distribution derived from Algorithm 1 at the measurement position from 1 to 3, where localization error occurs at positions 2 and 3 of the laboratory and position 3 of the third floor.As can be seen in the figure, the scores of the laboratory are very similar to  each other among measurement locations compared to the third floor, which leads to wrong prediction with higher probability than the third-floor case.
According to our analysis on the laboratory fingerprints, we observed that the similarity of the fingerprints is caused by similar order of the fingerprints.That is to say, fingerprints in the laboratory have almost the same sequence of AP BSSIDs due to plywood walls except several of the strongest APs that should be highlighted.To see impact of measurement distance and number of APs for a fingerprint, twofold is revisited as inputs for fingerprints as shown in Figure 7.
Since the short measurement distance at the small area like a laboratory may increase localization error probability compared to the corridor based office buildings, we experimented our localization algorithm with smaller number of measurement spots.With many APs in similar order, a long list of measured APs increases the score value and make the fingerprint undistinguishable.Thus, we tested with a reduced number of APs, for example, the strongest 15, 20, and 25 APs from more than 40 captured APs in the laboratory.
In Figure 7(a), 20 APs are most preferable for the fingerprint of the laboratory.The distance error decreases to 2.4 and 2.5 m from 2.8 and 3.2 m in NexusS (NS) and Galaxy (G), respectively.This error decreases more if the number of measured sites decreases by a half.The distance error of the NexusS and Galaxy decreases to 1.39 and 2.28 m as shown in Figure 7(b).The distance error decreases more with smaller measurement sites in Figure 7(c).Table 6 shows average distance error with a number of APs for the fingerprints.Without resizing a list of captured APs, the average distance error was not decreased only by reducing the number of measurement sites (little bit increase in case of All).On   contrary, the average distance error decreases from 2.5 to 1.45 m with 20 APs if the measurement sites are reduced from 34 to 8 sites.Such reduction of AP sequence can also decrease location estimation time that is proportional to the number of fingerprint data to be compared, in addition to give a highlight to the strong APs for a fingerprint.Localization with fine granularity is still challenge especially in small open space where similar fingerprints are captured.Accordingly, measurement position distance or a number of APs used for fingerprints should be adjusted according to the localization environment, especially for the small area.However, we argue that Freeloc is still feasible for home localization as one of key technologies for Internet of Things (IoT).

Indoor Shopping
Center.Wi-Fi channels at indoor environment are varying with moving objects, especially, people, which leads to variance in measured fingerprints.We can conjecture that the fingerprint abstraction based on (4) can deal with this problem.However, largely distributed RSSs can still mislead the localization with inconsistent fingerprints.
In order to demonstrate this problem, we experimented our localization method at the crowd indoor shopping mall, the Coex, one of the biggest indoor shopping centers in south Korea, which holds large convention rooms for exhibitions and conferences, many restaurants, and stores (Figure 2(e)).
The Wi-Fi fingerprint data were collected at 40 positions for different Wi-Fi channel environment and each position is about 6 m apart the same as in the school buildings.We measured RSSs from more than 200 APs installed by Coex, stores, and Internet service providers.
We used four smart phones, Desire HD (D), Vega Iron (V), Galaxy S3 (S), and Note 4 (N) and measured RSSs with each phone at different time to experience different channels.To investigate degree of fading effect from pedestrians, RSS variation of two different places, Gachon IT building and Coex mall, is compared in Figure 8.The RSS variation in the Coex mall is higher than the IT building probably due to more pedestrians; RSS difference is almost about 10 dB in some of APs.However, the RSS distribution of strong APs is very similar in both locations.
Figure 9 shows error distance of pairwise experiments of those heterogeneous devices at the Coex mall.The distance error is bigger than the Gachon IT and UCLA building due to varying channel status even though more APs were captured for fingerprints.Also, measurement by Desire HD leads to increase distance error.However, the error distance decreases with fingerprints gathered by other three heterogeneous devices up to less than measurement distance, 6 m.According to this experiment results, localization performance for CIL is affected more by device characteristics, that is, heterogeneity rather than fading channel status because RSS value abstraction based on multiple measurement samples (e.g., more or less 10 samples) reduces the fading effect.Thus, Freeloc can be robust even in the crowd indoor environment that suffers from severe channel fading due to pedestrians.

Performance Comparison of Localization Algorithms
First, localization performance is compared when using a Bionic device and three fingerprints built by others.Figure 10 shows CDF of error distance at the laboratory for each different fingerprint.Error distance is slightly different from the fingerprints but comparable except -NN.Maximum error distance is however very different from the localization techniques.Tanimoto approach shows biggest error, about 12 meters, among the four localization schemes since similarity between RSS fingerprints is undistinguishable to each other at the narrow laboratory environment.Figure 11 shows CDF of error distance at the third floor.-NN and Tanimoto approaches show considerable error compared to the -gram and Freeloc.-gram and Freeloc show only about 5-meter error at more than 80% fingerprints error distance while -NN and Tanimoto have more than 30-meter distance error.Accordingly, algorithms using relative information for the fingerprint outperform ones using the absolute vale of the RSS, especially for third-floor environment.Comparing the Freeloc and -gram, the Freeloc shows better accuracy since Freeloc can detect unique BSSID subsequence effectively even under varying radio condition.Figure 12 shows total average error distance of four localization schemes using 4 user devices used in above experiment at the laboratory and third floor."Single" indicates an average distance error of single pairwise evaluations.At the laboratory, most algorithms show competitive results that error distance is below 5 meters.However, signal strength based localization techniques result in serious outcomes at the third floor.At the laboratory, RSSs of many fingerprints can help in elaborating localization accuracy but can mislead in wide area like third floor.Considering typical room size, it could be challenge in localization performance.Freeloc achieves competitive localization performance in both areas.Average error distance of localization based on heterogeneous multiple devices (i.e., 2 or 3 devices) indicates bars with the label "multiple" in Figure 12.When using multiple heterogeneous devices for building a radio map, -gram and Freeloc that use relative information obtain notable gain compared to the single device surveying.On the contrary, distance error of -NN and Tanimoto gets even worse than single device case.In -gram and Freeloc, merged fingerprint data do not affect localization results because they only concern relative information of them.As some omitted fingerprints from a single device are filled by others appropriately, the accuracy is improved.However, in -NN and Tanimoto, the same fingerprint is not merged properly and newly added values from other devices can mislead outcomes because heterogeneous surveying devices without calibration can get different RSS values for the same location.Error ratio that is a success rate of localization against trials at all measurement points is shown in Figure 12(c).Error ratio at the laboratory is higher than at 3rd floor because distance between measurement points is too small to detect exact location.
Figures 13 and 14 illustrate distribution of error distance at the laboratory and third floor, respectively.Error distribution indicates stability of the localization algorithms.Although -NN shows lower error ratio at the laboratory in Figure 12(c), distance error is widely spread (max error distance is almost 11 meters) compared to the Freeloc.At the third floor, distance error of the Freeloc is also distributed within very short range than others including the -gram of which error ratio is similar in Figure 12(c).Consequently, Freeloc can estimate a location with relatively low error variance rather than other localization schemes.In case of using multiple devices for fingerprint surveying, improvement compared to the single device case is not very notable.The heterogeneous device made fingerprints contribute to reducing error ratio in Figure 12(c), but not to reducing distribution of error distance much.

Performance with Varying Delta Value
In this section, we describe how to derive the delta value for Freeloc fingerprints, which was not handled in our previous work [24].Practically, two delta value acquisition methods can be considered for Freeloc implementation; one is an instant derivation that occurs occasionally with several stored fingerprints and the other is an accumulated evaluation that occurs every time a new measurement is received.

Delta Derivation with Instant Fingerprints.
To find out the optimal  value for subsequent localization, the distance error of pairwise devices is calculated with  values varied from 1 to 15 for all devices.From this, we can find the optimal empirical  value which minimizes average distance error.Here, the error distance of the pairwise devices is calculated for the

Delta Derivation with Accumulated Fingerprints.
With accumulated fingerprints, the localization server derives a new optimal  with a newly reported RSS from a phone based on the current fingerprint.For example, an initial fingerprint from the Bionic (B) is compared by the Galaxy (G) RSS that is reported later.With two, a first  value is derived.After then, NexusS (NS) and NexusOne (NO) can update , sequentially.Whenever the fingerprint is reported, it is used to derive  combined to a single fingerprint per each location.Here, the localization server does not need to maintain raw RSS values of the reported fingerprints to derive .The server only updates the current  value based on fingerprints newly reported by surveyors.In Figure 15(b), for example, first the B/G pair has an optimal  in 14 dBm, and  is updated to 12 dBm by the NS.Finally,  is set as 13 dBm by the NO.better performance than a single device fingerprint in some of  values.However, the most robust fingerprint has been formed from three different devices even though distance error is varying according to the  value.This experiment justifies that our method can achieve impressive performance among heterogeneous devices in crowdsourced environment.We believe that error will decrease considerably as the homogeneity of devices increase in the crowdsourced system.
In this study, considering general performance in terms of total distance error, 10 dBm  value is used for the UCLA engineering building and the Coex mall, and 2 dBm is used for the Gachon IT building and the resident house in the rest of the evaluations.

Conclusion
FreeLoc is a novel, calibration-free indoor localization scheme that uses existing Wi-Fi infrastructure.The proposed radio map building and localization techniques are based on the overall relationship among RSS by APs.Our techniques provide robust localization accuracy in a crowdsourced environment in which device heterogeneity and multiple

Figure 1 :
Figure 1: Crowdsource Based Indoor Localization (CIL) approach which collects RSS values of Wi-Fi APs measured by multiple users, users A-E at different positions of Rooms 101, 102, and 103, together with corresponding AP information, which is finally converted to fingerprint data of each location.
Indoor Coex shopping mall in Seoul

Figure 5 :
Figure5: Localization accuracy comparison between laboratory and third floor in UCLA building[24].
Score at laboratory at positions 1-3

3 Figure 6 :
Figure 6: Localization scores at measurement locations of UCLA laboratory and 3rd floor.

Figure 7 :
Figure 7: Analysis of localization performance at small region.Distance errors of Bionic user device with a reduced number of APs and measurement positions.

Figure 8 :
Figure 8: RSS variation at Gachon IT building and Coex.• represents the exceptional cases that are out of 95% confidence interval.

Figure 9 :
Figure 9: Localization error at a crowd indoor place with many pedestrians.

Figure 11 :
Figure 11: Localization of a Bionic device at 3rd floor.

Figure 16
shows localization errors of the HTC Desire HD (D) with varying  values at Gachon IT building.A merged fingerprint of two different devices does not show

Figure 12 :
Figure 12: Comparison of different localization schemes.

Figure 15 :
Figure 15:  derivation using instant or accumulated fingerprints at UCLA laboratory.

Figure 16 :
Figure 16: Localization performance of a Desire HD fingerprint at 5th floor of the Gachon IT building with varying delta value.
However, our results show that APs with RSS values of greater than −70 dBm provide over 90% of response rate and APs with RSS between −70 dBm and −85 dBm provide over 50% of response rate.APs with RSS of less than −90 dBm present very poor response rate.Therefore, we decide to give lower weights to weak RSS values, which reflects the lower AP response rate naturally for fingerprint.Thanks to the proliferation of Wi-Fi technology, some office or university buildings have more than 50 APs installed for personal purpose or for offloading of wireless cellular networks.RSS values of those APs are widely distributed (e.g., −40 dBm to −100 dBm), which is good to abstract relative RSS strength among APs.for each possible Fp Loc  in the radio map do (4)tead, we propose a simple yet effective method based on our experiment results that show the most frequently captured RSS in short duration is very close to the most RSS in the long-duration measurement case.In other words, most frequent RSSs can be obtained regardless of the duration of measurement time.The proposed method extracts fingerprint RSS values by ignoring RSS records that are far away from the most frequent RSS and giving the maximum weight to the RSSs with peak value as shown in(4), which provides tolerance to the RSS variation over time. fp is the fingerprint value for an AP and RSS peak is the RSS value of highest frequency during the measurement.The width of the range is set by   and   : =1 (RSS peak − ) + RSS peak + ∑

Table 1 :
return Loc Algorithm 1: Estimate the location.RSS measurement results from each user.

Table 2 :
Fingerprint data of each location.

Table 3 :
Measured fingerprint data for localization.
and they merge with an existing Room 101 fingerprint in Table 2 created by user A. The proposed {AP  , (AP ,() )} fingerprint data structure and the  value increase the similarity among multiple fingerprint data although they are measured at slightly different locations with different devices.

Table 4 :
Merged fingerprint data for Room 101.

Table 5 :
Devices used for data collection.

Table 6 :
Average distance error with a reduced number of APs.