Find the matrix with l2 norm?

In MATLAB is it possible to get the matrix, if we know the value of l2-norm?

[Torsten]

No, neither in MATLAB nor elsewhere.

To make it simple, even if you have a single number and you know that its norm is x, you don't know whether the number is x or -x.

[Natasha Elizabeth Francis]

Got it. Thank you. In such a case how can I find the unknown matrix to code. For e.g. the l2-norm of an array response matrix is say 25. How can I find the array response matrix to find the AoA/AoD using MUSIC algorithm?

Answer 1

[Sarthak]

Hi Natasha,

As per my understanding, to apply the MUSIC algorithm, you typically need the array response matrix, which represents the spatial response of the antenna array to different angles. The l2-norm of the array response matrix is not enough to estimate AoA(Angle of Arrival and AoD(Angle of Departure) using the MUSIC algorithm.

You require the array of steering vectors corresponding to the angles in the vector angles to apply the MUSIC algorithm.

Please refer to the following documentations for more information on MUSIC algorithm.

• https://www.mathworks.com/help/phased/ug/music-super-resolution-doa-estimation.html
• https://www.mathworks.com/help/phased/ug/direction-of-arrival-estimation-with-beamscan-mvdr-and-music.html
• https://www.mathworks.com/matlabcentral/fileexchange/22112-simulation-of-music-doa-estimation-gui?s_tid=srchtitle_support_results_8_MUSIC