I am working with antenna phased arrays for direction finding. According to the manufacturer of the antenna some elements of the uniformed rectangular array (URA) have a rotational difference. This makes some elements have a positive rotation towards the azimuth direction $\theta$.

The generic form of a single antenna element of the steering vector is given as:

$$ e^{j \frac{2 \pi}{\lambda} \left(x_{k} \cos \left( \theta \right) \sin \left( \phi \right) + y_{k} \sin \left( \theta \right) \sin \left( \phi \right)\right)}$$

This assumes the elements do not have a rotational offset. How does one compensate for the the positive $\phi$ offset.

Should it be sufficient to add this offset directly?

$$ e^{j \frac{2 \pi}{\lambda} \left(x_{k} \cos \left( \theta + \theta_{off} \right) \sin \left( \phi \right) + y_{k} \sin \left( \theta + \theta_{off} \right) \sin \left( \phi \right)\right)}$$

  • $\begingroup$ I have done some practical experiments and it seems it should be $$ e^{j ( \theta_{offset}+ \frac{2 \pi}{\lambda} \left(x_{k} \cos \left( \theta \right) \sin \left( \phi \right) + y_{k} \sin \left( \theta \right) \sin \left( \phi \right)\right))}$$ $\endgroup$
    – Yudop
    Jun 21, 2023 at 8:40


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.