Time series version of MVDR beamforming

Hi,

I am trying to implement a time series version of the popular MVDR
beamformer. As I understand, the data for the beamformer is spatial samples
of a plane wave and the antenna array is steered through a range of angles
to get a peak which indicates the DOA and thereby helps in estimating the
source complex amplitude. I was wondering if similar concept could be
applied if my data now is a window worth of temporal samples of a noisy
sinusoid. This would more sound like 'bandforming' because we are now
trying to separate source from noise using frequency components. I am
unclear as to how to model such a scenario. Any help would be greatly
appreciated.

best,
Abhi 

On Sep 9, 7:35 pm, "Abhimanyu" <sowmya.lo...@gmail.com> wrote:
> Hi,
>
> I am trying to implement a time series version of the popular MVDR
> beamformer. As I understand, the data for the beamformer is spatial samples
> of a plane wave and the antenna array is steered through a range of angles
> to get a peak which indicates the DOA and thereby helps in estimating the
> source complex amplitude. I was wondering if similar concept could be
> applied if my data now is a window worth of temporal samples of a noisy
> sinusoid. This would more sound like 'bandforming' because we are now
> trying to separate source from noise using frequency components. I am
> unclear as to how to model such a scenario. Any help would be greatly
> appreciated.
>
> best,
> Abhi

Sounds like you want to do line frequency estimation, is this correct?
It's actually the prototype problem, which solution was then re-used
to
solve the MVDR problem.

The best reference is Stoica's book on Spectral Estimation, or read
up on any "line spectrum estimation" papers.

On Sep 10, 4:12&#4294967295;pm, julius <juli...@gmail.com> wrote:
> On Sep 9, 7:35 pm, "Abhimanyu" <sowmya.lo...@gmail.com> wrote:
>
> > Hi,
>
> > I am trying to implement a time series version of the popular MVDR
> > beamformer. As I understand, the data for the beamformer is spatial samples
> > of a plane wave and the antenna array is steered through a range of angles
> > to get a peak which indicates the DOA and thereby helps in estimating the
> > source complex amplitude. I was wondering if similar concept could be
> > applied if my data now is a window worth of temporal samples of a noisy
> > sinusoid. This would more sound like 'bandforming' because we are now
> > trying to separate source from noise using frequency components. I am
> > unclear as to how to model such a scenario. Any help would be greatly
> > appreciated.
>
> > best,
> > Abhi
>
> Sounds like you want to do line frequency estimation, is this correct?
> It's actually the prototype problem, which solution was then re-used
> to
> solve the MVDR problem.
>
> The best reference is Stoica's book on Spectral Estimation, or read
> up on any "line spectrum estimation" papers.

If I recall correctly, the formulation of the MVDR beamformer is
analogous to that of the LCMV (linearly-constrained, minimum-variance)
filter, which I believe is what you want. Try searching for that topic
also.

Jason