# Questions tagged [beamforming]

Forming a beam (directional gain) and, sometimes, shifting the beam direction.

70 questions
Filter by
Sorted by
Tagged with
80 views

### Proving that a product of matrices invertible

Given $R_x$ a Positive Definite (PD) covariance matrix of size $M\times M$ and $C$ a full rank $M \times N$ matrix, I want to prove that $C^* R_x^{-1} C$ is invertible to derive the Linearly ...
16 views

734 views

### Beam width of linear array using MVDR beamformer

I did delay and sum beamforming technique and MVDR beamforming technique in MATLAB in ...
135 views

### Superdirectivity Beamformer for Circular microphone array

The matrix below represents the inverse of correlation matrix assuming diffuse noise field. I am unable to figure out the values of the elements of this matrix. how to calculate $c_{M}(\omega)$ ?
97 views

### Design of a filter with given bandwidth and sidelobe level using Parks–McClellan algorithm

I want to design a filter (beamformer) with a given bandwidth (beamwidth) and sidelobe level using Parks-McClellan algorithm. I use "firpm" function of MATLAB. however, I cannot reach a solution for ...
965 views

### Delay-and-sum beamforming: implementing steering in C

I am currently trying to understand how delay-and-sum beamforming works. I have found this website which explains the process of this technique very well in which the following C code is provided: <...
295 views

### How to compute beam pattern given a delay-and-sum filter in spectral domain?

Given a two-mic system (the mic spacing $d$ is known), how can I compute the beam pattern (see the Figure below) over frequency and angle $g(f,\theta)$ for a pair of spectral filters ($H_0$ for ...
170 views

### Relationship between matrix rank and beamforming

I always encounter the term matrix rank in papers related to beamforming. I am only familiar with the basics of beamforming (delay sum beamformer, basic capon). Can someone explain the significance of ...
316 views

### What is homogeneous noise field?

What is the formal definition of homogeneous noise field? Is there any example of it? Thanks.
182 views

### Filter signal for beamforming and phase response

I was wondering this for quite some time but couldnt find a satisfied answer. Seems like not a lot worry about phase response in general. But maybe I'm thinking about it in a wrong way... I want to ...
216 views

### Would a visible light beamforming “telescope” be feasible?

If you had a phased array of high speed photodiodes that were spaced sufficiently far apart, would it be possible to apply beamforming theory to create a steerable visible light "telescope"? ...
203 views

### MVDR Beamformer, minimize but do not change pattern in main beam

Is there a way to minimize all signals that are not coming from the mainbeam? I would like to keep the main beam, or at least +-3° around the main peak stable. When I estimate the covariance from ...
810 views

### Spatial sampling frequency equation

Upon reading this microphone array tutorial, I'm stuck in the following piece: The spatial sampling frequency along the x-axis is given by $f_{x_s} = \frac{\sin \theta \cos \phi}{\lambda}$ ...
901 views

### Difference between Uniform Linear Array (ULA) 3 dB beamwidth and bearing resolution

Is there a difference between linear array 3dB beam width and linear array bearing resolution ?