Symbol or Abbreviation	Meaning
APL	Average Power Limited
AWGN	Additive White Gaussian Noise
B	Bandwidth
b, bold italic letters	Vector of Samples of b(t)
C	Capacity
Ca	Capacity Over the APL Channel
CDF	Cumulative Distribution Function
CGC	Constrained Gaussian Channel
CP-FDE	Cyclic Prefix-Assisted Frequency Domain Equalization
DFO	Distance From the Origin
DPD	Digital Pre-Distortion
EPI	Entropy Power Inequality
E θ	The Statistical Expectation with Respect to θ
f	Frequency
F	Cumulative Distribution Function
FDMA	Frequency Domain Multiple Access
FFT	Fast Fourier Transform
h	Differential Entropy
I(x;y)	Mutual Information
i.i.d.	Independently and Identically Distributed
IFFT	Inverse Fast Fourier Transform
L	Length of the Signal Vector x
Log	The Natural Logarithm
LTE	Long-Term Evolution
MIMO	Multiple Input Multiple Output
MUI	Mutual Information
N	Duration of Message in Nyquist Intervals
n(t)	White Gaussian Noise
N 0	Noise Power Spectral Density
Nsim	Number of Simulated Vectors
P	Power and Peak Power
PAPR	Peak to Average Power Ratio
Pc	Probability factor in Importance Sampling
PDF	Probability Density Function
Pe	The Entropy Power
PPL	Peak-Power Limited
PSD	Power Spectral Density
px(x) or p(x).	Probability Density Function of x
Q(x)	The Q-function
r	Distance From the Origin
RN	The N-Dimensional Vector Space Of Real Variables
SC-FDMA	Single-Carrier FDMA
SNR	Signal to Noise Ratio
${\mathit{S}}_{\mathit{N}-\mathbf{1}}^u$	The Area of the Unit N − 1 Sphere
t	Continuous Time
T	Nyquist Interval
Var	Variance
${\mathit{V}}_{\mathit{N}}^{\mathit{u}}$	The Volume of the N-Dimensional Ball with Unit Radius
Vx	Volume Occupied by all Permissible Vectors x
x = (x1 … xn … xN)	Vector of Nyquist-Rate Samples of x(t)
x(t)	Continuous Input Signal
y(t)	Continuous Output Signal
z	Maximal Abs. Value of the Nyquist-Rate Samples of x(t)
zc	Maximal Absolute Value of x(t)
α	Correction Factor by Prasad
γ	Lower Bound on the Power Loss Ratio
θ	Angles from the Origin to Points on the Surface of the Convex Body
ρ	Signal to Noise Ratio
σ n 2	Noise power