Time-of-arrival determination for wireless data communication

An electronic wireless communication device, comprising a receiver, arranged to receive a wireless data communication, the electronic wireless communication device configured to carry out a time-of-arrival calculation to determine a time-of-arrival of the received wireless data communication, the calculation comprising:

• generating, using at least signal eigenvectors derived from the received wireless data communication, at least one candidate time-of-arrival value for the received wireless data communication, using the ESPRIT algorithm;
• generating, using at least noise eigenvectors derived from the received wireless data communication, a value of a likelihood measure for each of the generated candidate time-of-arrival values, wherein the likelihood measure is given by the formula
• P
• ⁡
• (
• τ
• )
• =
• 1
• a
• ⁡
• (
• τ
• )
• H
• ⁢
• E
• N
• ⁢
• E
• N
• H
• ⁢
• a
• ⁡
• (
• τ
• )
• .
• wherein EN represents the noise eigenvectors spanning the noise subspace derived from the received wireless data communication, and a(τ) is the time steering vector at a particular candidate time τ;
• selecting a value of the candidate time-of-arrival values as the determined time-of-arrival for the received wireless data communication, based at least on the values of the likelihood measure.