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Radio Propagation Measurement and Channel Modelling by Sana Salous

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List of Symbols

αn Azimuth angle
αR Unit vector along R
β Wave number
αβ Unit vector along the direction of wave propagation
del Differential vector operator
grad, gradient of a scalar
∇. div, divergence of a vector
∇× Curl of a vector
. Dot product
δ(t) Impulse function, dirac delta function
h(t) Impulse response
h(t,τ) Time-variant impulse response
H(ω) Frequency response
H(ω,t) Time-variant frequency response
H(ω,ν) Frequency Doppler function
ρ Charge density
Permittivity
μ Permeability
C Conductivity
D Electric flux
B Magnetic flux
J Current density
f Frequency, Hz
fc Carrier frequency
fH Gyro-frequency
fi Instantaneous frequency
fD Doppler frequency
ϕn Phase shift with respect to an arbitrary reference
I In-phase
Jo Zero order Bessel function of the first kind
ω Angular frequency, radians/sec
β Wave number
λ Wavelength
n Impedance
* Complex conjugate
S Poynting vector
Ω Ohm
δs Skin depth
n Phase refractive index
n′ Group refractive index
N Refractivity
p Pressure
ν Diffraction coefficient
m Meter
No Single-sided noise power spectrum density
S(τ,ν) Delay Doppler function
τ Time delay variable
τg Group time delay
τmax Maximum time delay
Q Quadrature
vec( ) Vector operator stacking all elements of a matrix column-wise into a single vector,
Kronecker product
E{} Expected value
T Transpose

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