Question: Could you share MATLAB code for this python example: import numpy as np import matplotlib.pyplot as plt from scipy.linalg import eigh from numpy.linalg import svd
Could you share MATLAB code for this python example:
import numpy as np
import matplotlib.pyplot as plt
from scipy.linalg import eigh
from numpy.linalg import svd
# Parameters
M # number of sensors
d # interelement spacing in wavelengths
thetas nparray # DOAs in degrees
P nparray # signal powers
N # number of snapshots
k k k
sigman k # noise variance
# Generate the steering matrix
def steeringvectorM d theta:
angles npradianstheta
return npexpj nppi d nparangeM: npnewaxis npsinangles
A steeringvectorM d thetas
# Generate the signals and noise
S nprandom.randnlenthetas Nj nprandom.randnlenthetas N
S npsqrtP: npnewaxis
noise npsqrtsigmannprandom.randnM Nj nprandom.randnM N
# Received signal
X A @ S noise
# Compute the covariance matrix
R X @ XconjT N
# Perform eigendecomposition
eigvals, eigvecs eighR
signaleigvecs eigvecs:lenthetas: # last lenthetas eigenvectors
noiseeigvecs eigvecs: :lenthetas # remaining eigenvectors
# MUSIC pseudospectrum
def musicspectrumthetascan, A noiseeigvecs:
ascan steeringvectorM d thetascan
return npsumnpabsascan.conjT @ noiseeigvecs axis
thetascan nplinspace
Pmusic musicspectrumthetascan, A noiseeigvecs
# Plot the pseudospectrum
pltfigurefigsize
pltplotthetascan, nplogPmusic
plttitleMUSIC PseudoSpectrum"
pltxlabelAngle degrees
pltylabelPseudoSpectrum dB
pltgridTrue
pltshow
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