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A Mecânica da Localização por WiFi: Trilateração e RSSI Explicados

Este guia autorizado detalha a mecânica técnica da localização por WiFi, explicando como as medições de trilateração e RSSI determinam a localização do dispositivo. Fornece estratégias de implementação acionáveis, metodologias de calibração e melhores práticas arquitetónicas para líderes de TI que implementam serviços de localização em espaços empresariais.

📖 6 min de leitura📝 1,319 palavras🔧 2 exemplos práticos3 perguntas de prática📚 8 definições principais

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THE MECHANICS OF WIFI WAYFINDING: TRILATERATION AND RSSI EXPLAINED A Purple Technical Briefing Podcast — Approximately 10 Minutes --- SEGMENT 1: INTRODUCTION AND CONTEXT (approx. 1 minute) Welcome to the Purple Technical Briefing series. I'm your host, and today we're getting into the mechanics of WiFi wayfinding — specifically how trilateration and RSSI work together to tell you where someone is inside a building, and what that means for your deployment strategy. If you're a network architect, IT manager, or venue operations director, this is the episode for you. We're not going to spend time on the basics of WiFi — you know what an access point is. What we're going to cover is the positioning layer that sits on top of your existing infrastructure, how it actually works under the hood, and the practical decisions you need to make to get it right. The question "what is wayfinding?" comes up constantly in enterprise WiFi conversations, and the honest answer is: it's a lot more nuanced than most vendors let on. So let's get into it. --- SEGMENT 2: TECHNICAL DEEP-DIVE (approx. 5 minutes) Let's start with the fundamentals. WiFi wayfinding is the use of your existing wireless infrastructure to determine the physical location of a device — and by extension, the person carrying it — inside a venue. No GPS, no additional hardware in most cases, just the access points you already have. The core mechanism is trilateration. Not triangulation — that's a common misconception worth clearing up immediately. Triangulation uses angles. Trilateration uses distances. Your access points measure signal strength from a device, convert that signal strength into an estimated distance, and then the system calculates where those distance circles intersect. That intersection is your device's estimated position. The signal strength measurement is called RSSI — Received Signal Strength Indicator. It's expressed in decibels relative to a milliwatt, or dBm. The scale runs from zero, which would be an impossibly strong signal, down to around minus 100 dBm, which is effectively noise. For practical wayfinding deployments, you want your access points seeing client devices at minus 67 dBm or better. Below minus 75, you're in unreliable territory. Below minus 85, forget it — you won't get consistent positioning. Now, here's where it gets technically interesting. The relationship between RSSI and distance is not linear. It follows a logarithmic path-loss model. The standard formula is: RSSI equals minus 10 times n times the log base 10 of distance, plus a constant A. Where n is the path-loss exponent — typically between 2 and 4 depending on your environment — and A is the RSSI at one metre from the access point, your calibration reference. In an open office with line of sight, n might be 2.0. In a dense hotel corridor with concrete walls, steel doors, and lift shafts, n could be 3.5 or higher. This is why a deployment that works brilliantly in one venue can give you 10-metre errors in another with the same AP density. The environment is a variable, and it has to be measured, not assumed. This brings us to calibration. There are two approaches. The first is radio frequency fingerprinting — you physically walk the space with a device, recording RSSI values at known coordinates, and build a lookup table. Accurate, but labour-intensive, and it needs to be redone whenever the physical environment changes significantly. The second is model-based positioning, where you apply the path-loss formula with measured or estimated environmental parameters. Faster to deploy, less accurate, but sufficient for zone-level wayfinding in most venue types. For precision wayfinding — think hospital ward-level accuracy, or retail shelf-level product guidance — you typically need a hybrid approach, combining WiFi RSSI with additional signals. Bluetooth Low Energy beacons are the most common complement. BLE operates at shorter range and lower power, which means tighter signal circles and better intersection accuracy. The IEEE 802.11mc standard, also known as WiFi Round-Trip Time or RTT, is another option — it measures the actual time of flight of the signal rather than just its strength, giving you distance estimates that are far less susceptible to environmental interference. But RTT requires compatible hardware on both the AP and the client device, so check your estate before specifying it. Now let's talk about the positioning stack architecture. At the bottom, you have your physical layer — the access points, their placement, and their antenna characteristics. Above that, you have the RSSI collection layer, which is typically handled either by your wireless controller or by a dedicated location engine. Then you have the positioning engine itself, which runs the trilateration calculations and applies any calibration data or machine learning corrections. Above that sits the application layer — the wayfinding interface that the end user actually sees, whether that's a map on their phone, a digital signage display, or an analytics dashboard showing dwell time and footfall patterns. Purple's platform operates at the application and analytics layer, consuming positioning data from your existing infrastructure — whether that's Cisco, Aruba, Ruckus, or any other vendor — and translating it into actionable intelligence. That hardware-agnostic approach is significant because it means you're not locked into a single vendor's location engine, and you can evolve your underlying infrastructure without rebuilding your wayfinding application. One more technical point worth covering: the impact of the 2.4 GHz versus 5 GHz band on positioning accuracy. The 2.4 GHz band propagates further and penetrates walls better, which sounds like an advantage for coverage. But for positioning, that propagation characteristic actually works against you — the signal circles are larger, which means the intersection area is larger, which means lower precision. The 5 GHz band attenuates faster, giving you tighter circles and better positional resolution. For wayfinding deployments, you generally want your positioning engine consuming 5 GHz RSSI data where available, with 2.4 GHz as a fallback. --- SEGMENT 3: IMPLEMENTATION RECOMMENDATIONS AND PITFALLS (approx. 2 minutes) Right, let's get practical. The three most common failure modes I see in wayfinding deployments are: insufficient AP density, poor calibration, and ignoring multipath interference. On AP density: the rule of thumb is that for reliable trilateration you need a minimum of three access points with overlapping coverage at any given point in the venue. In practice, for a 2 to 3 metre accuracy target, you're looking at one AP per 15 to 20 square metres in a typical indoor environment. That's denser than you'd deploy purely for connectivity, which means wayfinding requirements should feed into your RF design from day one, not be bolted on afterwards. On calibration: do not skip the site survey. Even if you're using a model-based approach, you need measured path-loss exponents for your specific environment. A 30-minute walk-through with a spectrum analyser will save you weeks of troubleshooting inaccurate positioning post-deployment. On multipath: this is the big one that catches people out. In environments with lots of reflective surfaces — think glass-fronted retail, airport terminals, sports halls — signals bounce off walls and floors and arrive at the receiver via multiple paths. The RSSI reading becomes an average of all those paths, not a clean line-of-sight measurement. The mitigation is a combination of denser AP deployment, fingerprinting calibration, and — where budget allows — the move to RTT-based positioning which is inherently more resistant to multipath because it's measuring time, not amplitude. From a compliance perspective: if you're collecting location data on individuals, you're in scope for GDPR in the UK and EU. The key principle is that passive RSSI collection from probe requests — where the device is broadcasting its MAC address — is generally considered personal data processing. You need a lawful basis, typically legitimate interests for aggregate analytics, or explicit consent for individual-level tracking. MAC address randomisation, which is now default on iOS 14 and above and Android 10 and above, significantly complicates individual tracking but doesn't affect aggregate footfall analytics. --- SEGMENT 4: RAPID-FIRE Q&A (approx. 1 minute) A few questions that come up regularly: "Do I need to upgrade my access points for wayfinding?" — In most cases, no. If your APs are less than five years old and running a current firmware, they'll support RSSI reporting. RTT-based positioning is the exception — that requires 802.11mc-compatible hardware. "What accuracy can I realistically expect?" — For a well-calibrated WiFi-only deployment, 3 to 5 metres is a realistic target. Add BLE beacons and you can get to 1 to 2 metres. RTT can get you under 1 metre in favourable conditions. "How does this work with Wi-Fi 6?" — Wi-Fi 6 and Wi-Fi 6E improve throughput and reduce latency, but they don't fundamentally change the RSSI-based positioning model. The higher channel density in 6 GHz does offer some positioning benefits in terms of signal resolution. We've covered the Wi-Fi 6 versus Wi-Fi 5 comparison in detail in our guides section if you want to go deeper on that. "What about privacy?" — Aggregate zone analytics don't require individual identification. If you're doing individual wayfinding — turn-by-turn navigation — you need explicit opt-in. Purple's guest WiFi platform handles the consent capture at the point of network authentication. --- SEGMENT 5: SUMMARY AND NEXT STEPS (approx. 1 minute) To wrap up: WiFi wayfinding is a mature, deployable technology that works on your existing infrastructure. The core mechanic is trilateration using RSSI measurements — three or more access points, distance estimation via path-loss modelling, and intersection calculation to determine device position. The accuracy you achieve is directly proportional to your AP density, the quality of your calibration, and your ability to account for environmental variables like multipath and wall attenuation. For most venue operators — hotels, retail, stadiums, conference centres — a well-designed WiFi wayfinding deployment will deliver 3 to 5 metre accuracy, which is more than sufficient for turn-by-turn navigation, zone-level dwell analytics, and operational use cases like staff location and asset tracking. The next step is a site assessment. Map your current AP placement against the density requirements for your target accuracy, identify the calibration approach that fits your operational model, and make sure your data collection practices are GDPR-compliant from day one. Purple's platform integrates with your existing infrastructure to deliver the analytics and wayfinding application layer on top. If you want to explore what that looks like for your specific venue, the details are at purple.ai. Thanks for listening. We'll be back with the next technical briefing shortly. --- END OF SCRIPT

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Resumo Executivo

Para operadores de espaços empresariais, a implementação de serviços de localização indoor eficazes exige mais do que apenas cobrir um espaço com pontos de acesso. A mecânica fundamental da localização por WiFi — trilateração e medições do Indicador de Força do Sinal Recebido (RSSI) — dita os requisitos arquitetónicos para qualquer implementação bem-sucedida. Este guia oferece uma análise aprofundada dos princípios técnicos de como a sua infraestrutura sem fios existente determina a posição do dispositivo, as variáveis ambientais críticas que afetam a precisão e os padrões de implementação necessários para fornecer inteligência de localização fiável.

Compreender esta mecânica é essencial para gestores de TI e arquitetos de rede encarregados de fornecer navegação passo a passo, rastreamento de ativos ou análise de fluxo de pessoas. Exploramos a relação logarítmica entre a força do sinal e a distância, a necessidade de calibração rigorosa e a integração de plataformas de análise independentes de hardware como a Purple para extrair valor de negócio acionável do seu ambiente de RF.

Ouça o nosso briefing de podcast complementar:

Análise Técnica Aprofundada

Os Fundamentos de RSSI e Trilateração

Na sua essência, a localização por WiFi depende da infraestrutura sem fios existente para determinar a localização física de um dispositivo cliente. O mecanismo principal para isso é a trilateração, que é frequentemente, e incorretamente, referida como triangulação. Enquanto a triangulação calcula a posição com base em ângulos, a trilateração determina a posição medindo distâncias a partir de pontos de referência conhecidos.

Num contexto WiFi, estes pontos de referência são os seus pontos de acesso (APs). A estimativa de distância é derivada do Indicador de Força do Sinal Recebido (RSSI). RSSI é uma medição da potência presente num sinal de rádio recebido, expressa em decibéis em relação a um miliwatt (dBm).

trilateration_diagram.png

Quando um dispositivo cliente — como um smartphone a transmitir pedidos de sonda — é detetado por um AP, o AP regista o RSSI. Como os sinais de radiofrequência (RF) atenuam (perdem potência) à medida que viajam pelo espaço, o valor RSSI serve como um proxy para a distância. Se três ou mais APs detetarem o mesmo dispositivo e registarem o seu RSSI, o motor de posicionamento pode calcular a distância estimada de cada AP, desenhando círculos virtuais de probabilidade. A interseção destes círculos representa a localização estimada do dispositivo.

O Modelo de Perda de Trajeto

A relação entre RSSI e distância não é linear; segue um modelo logarítmico de perda de trajeto. A fórmula padrão usada pelos motores de posicionamento é:

RSSI = -10 * n * log10(d) + A

Onde:

  • d é a distância do ponto de acesso.
  • n é o expoente de perda de trajeto, representando a rapidez com que o sinal se degrada no ambiente específico. Num vácuo de espaço livre, n é exatamente 2.0. Em ambientes indoor densos, n pode variar de 3.0 a 4.5.
  • A é o RSSI de referência medido a exatamente 1 metro do AP.

Esta fórmula destaca porque a calibração ambiental é crítica. Uma implementação num ambiente de Hotelaria com paredes de betão terá um expoente de perda de trajeto significativamente diferente de um piso de Retalho amplo e aberto. Assumir um valor n padrão em diversos ambientes é a principal causa de baixa precisão na localização.

2.4 GHz vs 5 GHz para Posicionamento

Embora a banda de 2.4 GHz ofereça melhor penetração através de obstáculos físicos, esta característica é, na verdade, prejudicial para o posicionamento de precisão. A maior pegada de propagação significa círculos de estimativa de distância maiores, resultando numa área de interseção mais ampla e menor resolução posicional.

A banda de 5 GHz atenua mais rapidamente, fornecendo limites de sinal mais apertados e estimativas de distância mais granulares. Para uma precisão de localização ótima, os motores de posicionamento devem priorizar os dados RSSI de 5 GHz. Este princípio também se aplica a padrões mais recentes; embora o Wi-Fi 6 melhore a eficiência geral da rede, a mecânica fundamental do posicionamento RSSI permanece a mesma, embora a introdução da banda de 6 GHz no Wi-Fi 6E ofereça uma densidade de canal ainda maior e potenciais benefícios de resolução. Para mais informações sobre este assunto, consulte o nosso guia: Wi-Fi 6 vs Wi-Fi 5: Does it Solve Channel Interference? .

Guia de Implementação

Densidade e Colocação de Pontos de Acesso

O modo de falha mais comum em implementações de localização é a densidade insuficiente de AP. Uma rede projetada puramente para conectividade (por exemplo, fornecendo acesso Guest WiFi ) muitas vezes carece da densidade necessária para uma trilateração fiável.

Para um posicionamento fiável, um dispositivo cliente deve ser "ouvido" por um mínimo de três APs simultaneamente com um RSSI de -75 dBm ou melhor.

rssi_reference_chart.png

Para alcançar uma precisão alvo de 3 a 5 metros, uma regra geral é implementar um AP por cada 15 a 20 metros quadrados, dependendo do ambiente. Além disso, os APs devem ser colocados no perímetro da área alvo, não apenas no centro de um corredor, para garantir que a interseção dos círculos de sinal crie um ponto definitivo em vez de uma linha reta.

Metodologias de Calibração

Precisa distaA estimativa de localização requer a calibração do motor de posicionamento para o ambiente de RF específico. Existem duas abordagens principais:

  1. RF Fingerprinting: Isto envolve percorrer fisicamente o local com um dispositivo de levantamento, registar os valores de RSSI em coordenadas conhecidas e construir uma tabela de pesquisa abrangente. O motor de posicionamento compara então as leituras de RSSI em tempo real com esta base de dados. Isto proporciona a mais alta precisão, mas é altamente intensivo em mão de obra e deve ser repetido se o ambiente físico mudar (por exemplo, expositores de retalho sazonais).
  2. Posicionamento Baseado em Modelo: Esta abordagem utiliza a fórmula de perda de percurso combinada com parâmetros ambientais (tipos de parede, alturas de teto) definidos no sistema. É mais rápido de implementar e manter e, embora ligeiramente menos preciso do que o fingerprinting, é geralmente suficiente para análises ao nível da zona e orientação geral.

Melhores Práticas

Mitigação de Interferência Multipath

Em ambientes com superfícies altamente refletoras — como montras de vidro, acessórios de metal ou assentos de estádio — os sinais de RF saltam, chegando ao recetor por múltiplos caminhos. Esta interferência multipath distorce a leitura de RSSI, uma vez que o recetor mede um agregado dos sinais diretos e refletidos, em vez da distância limpa em linha de visão.

A mitigação de multipath requer uma combinação de colocação estratégica de AP (evitando cantos altamente refletores), calibração rigorosa e algoritmos de filtragem inteligentes dentro do motor de posicionamento que podem descartar picos anómalos de RSSI.

Privacidade e Conformidade

Ao recolher dados de localização via endereços MAC (mesmo passivamente através de pedidos de sonda), as equipas de TI devem garantir a conformidade com os quadros de privacidade regionais como o GDPR.

A implementação da aleatorização de endereços MAC por sistemas operativos móveis modernos impede o rastreamento a longo prazo de dispositivos individuais sem autenticação. No entanto, não impede a análise agregada de fluxo de visitantes. Para fornecer orientação individual passo a passo ou envolvimento personalizado, os locais devem obter consentimento explícito.

É aqui que a integração de um Captive Portal se torna essencial. Ao exigir que os utilizadores se autentiquem — talvez aproveitando uma solução como How a wi fi assistant Enables Passwordless Access in 2026 — os locais podem associar legalmente um dispositivo a um indivíduo e fornecer serviços de localização com consentimento. A plataforma Purple atua como um fornecedor de identidade gratuito sob a licença Connect, simplificando este requisito de conformidade enquanto oferece WiFi Analytics ricos.

Resolução de Problemas e Mitigação de Riscos

Quando a precisão da orientação se degrada, as equipas de TI devem avaliar sistematicamente os seguintes vetores:

  • Deriva Ambiental: Ocorreram mudanças físicas no local (novas paredes, inventário denso) que invalidam a calibração original?
  • Níveis de Potência do AP: Os algoritmos de Gestão de Recursos de Rádio (RRM) estão a ajustar dinamicamente a potência de transmissão? Os motores de posicionamento dependem de pontos de referência estáveis; ajustes dinâmicos agressivos de potência distorcerão os cálculos de distância.
  • Variação do Dispositivo Cliente: Diferentes fabricantes de smartphones utilizam designs de antena variados, o que significa que um Samsung e um iPhone no mesmo local exato podem reportar valores de RSSI diferentes. Motores de localização avançados utilizam perfis de dispositivo para normalizar estas leituras.

ROI e Impacto no Negócio

O caso de negócio para implementar uma orientação WiFi robusta vai muito além de simplesmente mostrar um ponto azul num mapa. Para um Chief Technology Officer ou Diretor de Local, o ROI é alcançado através da eficiência operacional e da tomada de decisões baseada em dados.

Num centro de Transporte , o posicionamento preciso permite a gestão dinâmica de filas e o envio de pessoal com base na densidade de passageiros em tempo real. Num ambiente de saúde, facilita o rastreamento de ativos para equipamentos médicos de alto valor, reduzindo o desperdício de aquisição.

Ao padronizar uma plataforma agnóstica de hardware como a Purple, as organizações podem extrair esta inteligência de localização sem estarem presas a um único fornecedor de infraestrutura, garantindo flexibilidade a longo prazo e maximizando o retorno dos seus investimentos sem fios existentes. Conforme destacado no nosso recente anúncio, Purple Appoints Iain Fox as VP Growth – Public Sector to Drive Digital Inclusion and Smart City Innovation , a aplicação desta tecnologia está a expandir-se rapidamente para a infraestrutura de cidades inteligentes, demonstrando o seu valor escalável.

Definições Principais

RSSI (Received Signal Strength Indicator)

A measurement of the power present in a received radio signal, expressed in decibels relative to a milliwatt (dBm).

The fundamental metric used by positioning engines to estimate the distance between a client device and an access point.

Trilateration

The process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres or triangles.

The mathematical algorithm used by location engines to calculate a device's position based on distance estimates from multiple APs.

Path-Loss Exponent (n)

A variable in the RF propagation model that represents the rate at which signal strength degrades over distance in a specific environment.

Critical for calibration; an open stadium will have a lower path-loss exponent than a dense office environment with concrete walls.

RF Fingerprinting

A calibration technique where a venue is physically surveyed to record actual RSSI values at specific coordinates, creating a lookup database.

Used when high-precision wayfinding is required, though it carries a high operational maintenance cost.

Multipath Interference

A phenomenon in radio physics where RF signals reach the receiving antenna by two or more paths due to reflection off surfaces.

A major source of inaccuracy in wayfinding, particularly in venues with glass, metal, or complex architectural features.

MAC Address Randomisation

A privacy feature in modern mobile OS where the device broadcasts a temporary, randomized MAC address during probe requests.

Impacts the ability to track individual devices over time without network authentication, requiring venues to adapt their analytics strategies.

Probe Request

A frame sent by a client device to determine which access points are within range.

The primary mechanism for passive location tracking, allowing APs to record the RSSI of devices even if they are not connected to the network.

Model-Based Positioning

A location calculation method that relies on mathematical algorithms and environmental assumptions rather than physical site surveys.

The preferred deployment model for scalable, multi-site analytics where zone-level accuracy is sufficient.

Exemplos Práticos

A 400-room resort hotel is experiencing highly inaccurate wayfinding in its guest corridors, with the 'blue dot' frequently jumping between adjacent floors. The network was originally designed for basic connectivity with APs placed every 30 metres in a straight line down the centre of the hallways.

The IT team must redesign the RF architecture for location services. First, increase AP density to approximately one every 15 metres to ensure a minimum of three APs can 'hear' a client device at -67 dBm or better. Second, stagger the AP placement (e.g., alternating sides of the corridor or utilizing adjacent rooms) rather than a straight line. A straight-line deployment causes the trilateration circles to intersect at two distinct points, creating ambiguity. Finally, implement RF fingerprinting calibration specifically in the corridors to account for the high path-loss exponent caused by fire doors and concrete walls.

Comentário do Examinador: This scenario highlights the difference between coverage design and capacity/location design. The 'jumping' between floors is a classic symptom of poor vertical attenuation mapping and insufficient horizontal AP density. Staggering the APs resolves the linear ambiguity problem inherent in basic trilateration.

A large retail chain wants to deploy zone-level analytics to measure dwell time in specific departments (e.g., Electronics vs. Apparel) using their existing Cisco infrastructure. They want to avoid the operational overhead of manual RF fingerprinting across 50 locations.

Deploy a model-based positioning engine integrated with the existing Cisco wireless LAN controllers via API. The network architect should define the specific environmental parameters (path-loss exponent 'n') for the typical retail floor layout. Ensure that the WLCs are configured to report RSSI data from both associated and unassociated clients (probe requests). Overlay the Purple analytics platform to consume this API feed, mapping the logical AP coordinates to the physical floor plan to establish the analytical zones.

Comentário do Examinador: For zone-level analytics, absolute pinpoint accuracy is less critical than broad reliability. Model-based positioning is the correct architectural choice here, balancing acceptable accuracy (3-5m) with the scalability required for a 50-site deployment. The hardware-agnostic approach prevents vendor lock-in.

Perguntas de Prática

Q1. You are designing the WiFi infrastructure for a new conference centre. The primary requirement is highly accurate turn-by-turn wayfinding for attendees. The architect proposes placing high-density APs exclusively in the centre of the main exhibition halls to minimize cabling costs. Do you approve this design?

Dica: Consider how trilateration circles intersect when APs are placed in a centralized cluster versus a perimeter deployment.

Ver resposta modelo

No, this design should be rejected. For accurate trilateration, APs must be placed on the perimeter of the space to provide diverse angles of signal intersection. Centralized AP placement will result in overlapping signal circles that fail to create a definitive intersection point, leading to high positional ambiguity at the edges of the hall.

Q2. Following a recent firmware update to your wireless LAN controllers, the operations team reports that the dwell time analytics in the retail stores have become erratic, with devices appearing to 'teleport' between zones. No physical changes have been made to the stores.

Dica: Consider what automated features a WLC firmware update might enable or alter regarding RF management.

Ver resposta modelo

Investigate the Radio Resource Management (RRM) or dynamic transmit power control settings on the WLC. Firmware updates often alter the aggressiveness of these algorithms. If the APs are rapidly fluctuating their transmit power to optimize connectivity, the location engine's distance calculations (which rely on a stable reference power) will be entirely skewed, causing the 'teleporting' effect. RRM should be tuned to ensure stable transmit power in location-critical zones.

Q3. A hospital IT director wants to track the location of expensive mobile ultrasound machines. They currently have a legacy WiFi network designed for basic coverage (-75 dBm minimum). They are debating between upgrading the WiFi network for high-density location services or deploying a parallel BLE (Bluetooth Low Energy) beacon network.

Dica: Evaluate the cost and accuracy trade-offs between upgrading a legacy WiFi network versus overlaying a targeted BLE solution for asset tracking.

Ver resposta modelo

For precise asset tracking (e.g., knowing exactly which room a machine is in), BLE is often the more cost-effective and accurate solution in this scenario. Upgrading a legacy WiFi network to the density required for high-precision wayfinding (1 AP per 15 sqm) requires significant cabling and hardware investment. Deploying battery-powered BLE beacons on the assets and BLE receivers in the rooms provides higher accuracy (due to shorter range and lower power) without disrupting the existing WiFi infrastructure.