Digital Alias-free Signal Processing

Frequently Used Symbols and Abbreviations

an, bn	Fourier coefficients
AiCm, AiSm,	Cross-interference coefficients
AmCi, AmSi
ADC	Analog-to-digital converter
BiCm, BiSm,	Cross-interference coefficients
BmCi, BmSi
Cx(t)	Autocovariance function
Cov[x, y]	Covariance between x and y
d	Distance between sensors
DAC	Digital-to-analog converter
DASP	Digital alias-free signal processing
DFT	Discrete Fourier transform
DOA	Direction of arrival
DSP	Digital signal processing
E[ ]	Expected value of [ ]
f	Frequency (Hz)
fs	Sampling frequency (Hz)
FFT	Fast Fourier transform
Gxx(f)	Autospectral density function
IDFT	Inverse discrete Fourier transform
IFFT	Inverse fast Fourier transform
mx	Mean value of x(t)
nk,nx,ny	Number of threshold levels
N	Number of samples; number of sensors in an array
p(t)	Probability density function
p(x, y)	Two-dimensional probability density function
P	Mean power
PRNG	Pseudo-random number generator
q	Quantization step
RF	Radio frequencies
Rs(iΔf,t),	Periodic rectangular functions
Rc(iΔf,t)
SFDR	Spurious-free dynamic range
SNR	Signal-to-noise ratio
t	Time variable
tk	Time instants
tβ	Half of confidence interval corresponding to confidence probability β
TDC	Time-to-digital converter
Var [ ]	Variance of [ ]
x(t), y(t)	Signals
X(ω), Y(ω)	Fourier transforms of x(t) and y(t) respectively
αi,βi	Coefficients characterizing signal decomposition in a rectangular function basis
δ	Smallest ...