Hai,
In some articles (e.g: Spotfi Localization), I found that they extracted the time of arrival using MUSIC algorithm. What is the process.
Say I got a 1 D vectors samples received in 5 arrays at 2.437 MHz with half-wavelength spacing. How can I find the ToA.
1 D Vector = 42.03 + 131.44i, -17.13 - 37.40i, 71.78 + 119.89i, -23.83 - 31.39i, 97.39 + 102.58i
Thanks
try this article-
http://ieeexplore.ieee.org/abstract/document/1174758/?reload=true§ion=abstract
Dear
Read this paper may be help you
"Super-resolution time delay estimation in multipath environments"
To apply MUSIC, you need a matrix of observations. Best is a sequence of observations (temporal snapshots) from your 5 element array. The more the better.
If you only have one observation (single snapshot), the only thing you can do is spatial smoothing, which will convert your 5x1 vector into a 3x3 (Hankel) matrix. On this one you can apply MUSIC.
In your case, the 3x3 matrix has singular values 300, 120, and 0.7. This means you either have severe multipath (like, 2 dominating paths) or a very bad SNR or some other problem with the data.
Root MUSIC [*] says your dominant spatial frequency is around -3.03 rad=3.25 rad which for 2.437 MHz converts to a delay of 3.25/2/pi/2.437 MHz = 0.2125µs. Does that make any sense to you? Second one would chip in at 0.0075µs.
[*] Using Matlabs rootmusic command.
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