List of Symbols

The editors of this CD ROM attempt to comply to a consistent notation and use of symbols throughout this CD ROM. This task is particularly appreciated by the readers, but it was sometimes received a little less enthousiastically by authors of proposed contributions to this CD ROM. As you will see in the table, double use of certain symbols appeared unavoidable, unless we added lengthy subscripts which would lead to a cluttered mathematical notation. We tolerated such double usage if confusion is unlikely, thus, if it is unlikely that both uses would occur in the same page.

The following list is not complete. If you are a prospective author, please consult the Editor-in-Chief.

Symbol Definition Unit Remarks
B Erlang B Blocking Probability none 0 = B = 1
B Average duration of a busy cycle in CSMA or ISMA none
B_c Coherence Bandwidth Hz
B_T Transmit Bandwidth Hz
c speed of light m/s 3 10⁸ m/s
C Frequency Reuse Cluster Size none
C₀ Amplitude of line-of-sight or dominant component in Rician fading none, volts, amperes, ..
d Propagation distance (see for instance Free Space Loss, Path Loss) meters
D Delay
d Delay between channel sensing and transmitter power up in CSMA, ISMA none, relative to packet duration
f, f_c Carrier frequency Hertz (sec^-1) f_c > 0
f_D Doppler spread. The maximum Doppler shift experienced in a multipath channel. Hertz (sec^-1) f_D = 0
G Offered (or attempted) packet traffic in random access network, ALOHA Packets per slot
G(r) Offered (or attempted) packet traffic per unit area in random access network, ALOHA Packets per slot per area
h_r, h_r Receive / Transmit antenna Height meters
I₀() Modified Bessel function of first kind and zero order (see Rice PDF.)
J₀() Bessel function of first kind and zero order (see amplitude correlation.)
K Rician K-factor
Ratio of power in dominant (LOS) component over power in scattered waves. none K = 0
Rayleigh fading: K=0
m Nakagami m-factor
none m = 1
Rayleigh fading: m=1
n(t) noise signal none, volts, amperes, ..
N₀ Spectral Power Density of AWGN noise watts/Hz
p Persistency parameter in CSMA
P_b Bit Error Rate
p₀, p_i Instantaneous received signal power from terminal 0, i none (normalized to unity average power from cell boundary), watts
₀, _i Local-mean received signal power from terminal 0, i none (normalized to unity power from cell boundary), watts
r

distance (see also d)
signal amplitude (see also r)

normalized to cell size or meters
normalized or volts, volts/meter, amperes, etc.

S Successful packet traffic / Throughput in random access network, ALOHA Packets per slot
S(r) Successful packet traffic / Throughput per unit area in random access network, ALOHA Packets per slot per area
T_RMS RMS delay spread seconds
Greek Symbols
r, r, r(t) signal amplitude depending on application: normalized, volts, volt/meter, amperes, etc.
s² variance, variance of inphase and quadrature component of Rayleigh fading amplitude, local-mean power.

Symbol	Definition	Unit	Remarks
B	Erlang B Blocking Probability	none	0 = B = 1
B	Average duration of a busy cycle in CSMA or ISMA	none
B_c	Coherence Bandwidth	Hz
B_T	Transmit Bandwidth	Hz
c	speed of light	m/s	3 10⁸ m/s
C	Frequency Reuse Cluster Size	none
C₀	Amplitude of line-of-sight or dominant component in Rician fading	none, volts, amperes, ..
d	Propagation distance (see for instance Free Space Loss, Path Loss)	meters
D	Delay
d	Delay between channel sensing and transmitter power up in CSMA, ISMA	none, relative to packet duration
f, f_c	Carrier frequency	Hertz (sec^-1)	f_c > 0
f_D	Doppler spread. The maximum Doppler shift experienced in a multipath channel.	Hertz (sec^-1)	f_D = 0
G	Offered (or attempted) packet traffic in random access network, ALOHA	Packets per slot
G(r)	Offered (or attempted) packet traffic per unit area in random access network, ALOHA	Packets per slot per area
h_r, h_r	Receive / Transmit antenna Height	meters
I₀()	Modified Bessel function of first kind and zero order (see Rice PDF.)
J₀()	Bessel function of first kind and zero order (see amplitude correlation.)
K	Rician K-factor Ratio of power in dominant (LOS) component over power in scattered waves.	none	K = 0 Rayleigh fading: K=0
m	Nakagami m-factor	none	m = 1 Rayleigh fading: m=1
n(t)	noise signal	none, volts, amperes, ..
N₀	Spectral Power Density of AWGN noise	watts/Hz
p	Persistency parameter in CSMA
P_b	Bit Error Rate
p₀, p_i	Instantaneous received signal power from terminal 0, i	none (normalized to unity average power from cell boundary), watts
₀, _i	Local-mean received signal power from terminal 0, i	none (normalized to unity power from cell boundary), watts
r	distance (see also d) signal amplitude (see also r)	normalized to cell size or meters normalized or volts, volts/meter, amperes, etc.
S	Successful packet traffic / Throughput in random access network, ALOHA	Packets per slot
S(r)	Successful packet traffic / Throughput per unit area in random access network, ALOHA	Packets per slot per area
T_RMS	RMS delay spread	seconds
Greek Symbols
r, r, r(t)	signal amplitude	depending on application: normalized, volts, volt/meter, amperes, etc.
s²	variance, variance of inphase and quadrature component of Rayleigh fading amplitude, local-mean power.

JPL's Wireless Communication Reference Website

List of Symbols.

List of Symbols

JPL's Wireless Communication Reference Website © 1999.