Determining positional information for an object in space

A system, including:

• a plurality of emitter arrays situated inside of a building, including at least:
• a first emitter array emitting a first swept beam-formed signal including a beat of amplitude of a first mix of multiple frequencies comprising the first swept beam-formed signal;
• and
• a second emitter array emitting a second swept beam-formed signal including a beat of amplitude of a second mix of multiple frequencies comprising the second swept beam-formed signal;
• and
• wherein the first and second swept beam-formed signals are associated with time related data that varies according to sweep of beats of amplitude of the first and second swept beam-formed signals;
• and
• one or more mobile devices also located inside the building, each mobile device including one or more processors and a memory storing instructions for providing guidance to user of a mobile device relative to the plurality of emitter arrays in the building, which instructions when executed by the one or more processors perform actions including:
• receiving in a mobile device at least first and second swept beam-formed signals emitted by first and second emitter arrays situated within a building;
• detecting by the mobile device, from a beat of amplitude of the first mix of multiple frequencies comprising the first swept beam-formed signal during a sweep of the first swept beam-formed signal, a first value of time related data corresponding to receipt of a maximum amplitude for the first swept beam-formed signal;
• determining by the mobile device, a first angular position for the mobile device about the first emitter array from at least first value of the time related data corresponding to receipt of a maximum amplitude;
• detecting by the mobile device, from a beat of amplitude of the second mix of multiple frequencies comprising the second swept beam-formed signal during a sweep of the second swept beam-formed signal, a second value of time related data corresponding to receipt of a maximum amplitude for the second swept beam-formed signal;
• determining by the mobile device, a second angular position for the mobile device about the second emitter array from at least second value of the time related data corresponding to receipt of a maximum amplitude;
• and
• determining from the first angular position for the mobile device about the first emitter array and the second angular position for the mobile device about the second emitter array, a location of the mobile device within the building.