Questions tagged [beamforming]

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

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231 views

Question on spatial sampling for non-linear and/or non-uniform arrays

I am a little confused as to how to compute the nyquist criterion for a sensor array that is not linear, and/or non-uniform. For the linear, uniformly spaced case, the spatial nyquist is delimited by ...
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49 views

Physical Interpretation of $\mathbf A$ beamforming Matrix

The directivity of an array is defined as: $$ D = \frac{1}{2} \int_{-1}^{1} \lvert B_{u}(u)\rvert^{2} du$$ Where $B_{u}(\cdot) = \mathbf{w}^{H} \mathbf{v}(\cdot) $ is the beampattern of the array in ...
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243 views

Time-Delay beamforming delay computation

I'm trying to implement a beamforming algorithm in python and I'm stuck with the time-delay computation for a rectangular array. I'm using the following equation to compute the delays based on the ...
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118 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 $c_{M}(\omega)$ ?
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94 views

Beam pattern for a linear array comprised of rectangular transducers

I am looking for the beam pattern of a linear array with uniform spacing, $d$, between $n$ elements. I know for an array comprised of circular pistons it can be derived from $$\frac{1}{n}\frac{\sin[...
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68 views

The Rank Of Broadband LCMV Beamformer Constraint Matrix

So I am wondering why I keep seeing that the rank of the LCMV Broadband Constraint Matrix is equal to the number of constraints, when in practice, I find that the rank is only 1. This is precluding me ...
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1answer
27 views

Beamforming but only for total power?

Is there a method to speed up beam-forming if you only care about the total power in a given direction, or total power in frequency groups? I've googled this, and can't find anything. My intuition ...
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27 views

Beamformer does not preform as expected

Sorry for the long post, I have no idea where is my mistake soI am adding everything needed to recreate. I have added some directional noise to audio files in this dataset. I am generating a ...
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1answer
25 views

frequency/phase offset estimation in satellite DOA beamforming applications

In satellite QPSK demodulation, we first estimate and remove the phase offset introduced by the channel. Then, we demodulate the baseband information bits (I & Q channels). In satellite DOA ...
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45 views

Linear Combiner Based LMS Transfer Function

I am currently working on narrowband beamforming and looking to compute the transfer function for a linear combiner based LMS. While doing a quick search I have found the following article which ...
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35 views

How to realistically represent antenna elements in phased array system alongside it's 3D gain response?

Please find the figure below where I've plotted a 3D gain response(in dB) of an antenna array system for beam-steering application and overlaid the actual antenna element(in red X marks surrounded by ...
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18 views

Can the j be equal to k in the first formula ?In MISO system

In this system model,the received signal available for RF EH at each RX_k is given by However,its SINR formula is given by We can find that author said the j can't be equal to k,but their range are ...
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1answer
19 views

How multi layer map to different beams in LTE Beamforming

I understand for SU-MIMO Beamforming single layer maps to all antennas with phase shift applied to create beam. Also I understand in this case all beams will be carrying same signal (say s1). But in ...
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33 views

Radar - CFAR processing post Digital Beamforming - efficient alternative methods

A radar using a ULA with a large number of elements(for instance N=150 for 1[deg] beamwidth[1]) is being designed. After the Range and Doppler processing, Digital Beamforing is being performed, ...
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34 views

Space-time filtering vs. beamforming

Say I have a dense linear array of sensors in space and an acoustic signal propagating through them. In this case, how would delay-and-sum beamforming compare to space-time filtering by masking the ...
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28 views

Phase estimation in Beamforming

If I have a modulated signal $A\cos(2\pi f c t + \phi)$, I can demodulate it using IQ demodulator and estimate the phase using I and Q channel information. When it comes to MIMO case (specifically ...
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44 views

Multiple beam beamforming

For digital beamforming, we can form as many beams as we want. No matter where I read about this subject I cannot find any discussion of the interference that one would expect between beams (not ...
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79 views

Generalized Sidelobe Cancelling performance

I'm tinkering with different adaptive beam-forming algorithms for a research project in which I want to use a Uniform Rectangular microphones Array (URA) to isolate speech in a room. I am determining ...
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905 views

Difference between single layer and dual layer beamforming in LTE

I'm trying to understand the difference between single and dual layer beamforming in LTE as described in TS 36.101 section B.4.1 and B.4.2 respectively. Also refer to TS 36.211 section 6.3.4.2.3 for ...
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147 views

How to think about beamforming when there's no “space” between receivers?

I'm trying to wrap my head around how does "beamforming" work when there's no physical "space" between receivers. My background knowledge: I've always thought about beamforming as a sort of spacial ...
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48 views

Mean of the product of a signal with its conjugate

I have to find $E\{s_m\cdot s_n^*\}$, where $E$ denotes mean or expected value; $s$ is a signal at $m \in [1\ldots M]$ elements and $^*$ denotes its conjugate. I am doing it by dividing it into two ...
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194 views

Which algorithms one can use for matrix inversion (for beamforming application MVDR/LCMV) in Fixed Point?

I have implemented beamformer(MVDR/LCMV) for speech enhancement in matlab, now I am trying to convert it to fixed point implementation. during the weight calculation step correlation matrix inversion ...
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1answer
106 views

Calculation of Correlation Matrix

In the description of any Beamforming Technique for microphone array signal processing there is a usage of the co-relation matrix. What is the use of calculating such a co-relation matrix in such ...