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msamsami / doa-estimation-music

Estimation of direction of arrivals (DOA) using the MUSIC algorithm
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What if number of objects is unknown? #2

Closed ewan1983 closed 5 months ago

ewan1983 commented 11 months ago

What if number of objects is unknown? Would its performance the same as FFT/DFT?

msamsami commented 6 months ago

@ewan1983

The MUSIC algorithm requires knowledge of the number of sources to separate the signal subspace from the noise subspace. MUSIC's performance might degrade if the number of sources is unknown, especially in a noisy environment. You can use alternative methods such as the AIC or MDL criteria in such cases.

Note that MUSIC exploits knowledge of the number of components to ignore the noise in its output, this is why having an accurate count of sources is crucial for its optimal performance. Without this information, MUSIC might not achieve the same level of accuracy and might not necessarily outperform simpler methods like FFT/DFT in source localization tasks.

In practice, however, the performance of MUSIC without knowledge of the number of sources can still be better than FFT/DFT in some scenarios, but it would depend heavily on the specific conditions of the environment, the SNR, and how the estimation of the number of sources is approached if not known beforehand.