Radio Propagation Measurement and Channel Modelling

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