Method, apparatus, and system for wireless sensing based on linkwise motion statistics

A system for wireless sensing, comprising:

• a plurality of heterogeneous wireless devices forming a plurality of device-links in a venue, wherein each of the plurality of device-links comprises two of the heterogeneous wireless devices, wherein one of the two heterogeneous wireless devices functions as a transmitter and the other one of the two heterogeneous wireless devices functions as a receiver;
• and
• at least one processor, wherein for each respective device-link of the plurality of device-links:
• a respective transmitter of the respective device-link is configured to transmit a respective wireless signal through a wireless multipath channel of the venue,
• the wireless multipath channel is impacted by a motion of an object in the venue,
• a respective receiver of the respective device-link is configured to receive the respective wireless signal through the wireless multipath channel,
• the respective received wireless signal differs from the respective transmitted wireless signal due to the wireless multipath channel of the venue and the motion of the object,
• the at least one processor is configured to obtain a respective time series of channel information (TSCI) of the wireless multipath channel based on the respective received wireless signal of the respective device-link, and to compute a respective linkwise motion statistics (link-MS) for the respective device-link based on the respective TSCI,
• each channel information comprises one of:
• channel state information (CSI), channel impulse response (CIR), or channel frequency response (CFR),
• the respective link-MS is computed based on:
• (i) a similarity score between a pair of temporally adjacent CI of the respective TSCI, (ii) an autocorrelation function (ACF) of the respective TSCI, and (iii) a characteristics of the ACF,
• wherein the at least one processor is further configured for:
• performing a sensing task associated with the motion of the object based on at least one of:
• all the TSCI or all the link-MS,
• determining a number of candidate locations, each candidate location being associated with a respective heterogeneous wireless device,
• computing a respective location-wise motion statistics (loc-MS) for each respective candidate location based on respective multiple link-MS, wherein for each respective candidate location associated with the respective heterogeneous wireless device:
• the respective loc-MS comprises a respective weighted sum or a respective weighted product of a respective plurality of link-based quantities, each respective link-based quantity associated with a respective device-link and a respective weight,
• the respective weight is positive when the respective device-link is in a respective first group comprising device-links at a device-link-distance less than or equal to k1 from the respective device associated with the respective candidate location, and is negative when the respective device-link is in a respective second group comprising device-links at a device-link-distance greater than or equal to k2 from the respective device associated with the respective candidate location, k1 being an integer, k2 being an integer greater than k1,
• each of the respective plurality of link-based quantities is a univariate monotonic function of the respective link-MS associated with the respective device-link,
• analyzing the number of loc-MS and the plurality of link-MS, and
• computing a location in the venue associated with the sensing task based on the analyzing of all the link-MS and the loc-MS.