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 interval on a time grid |
δ( ) |
Delta function |
ΔT |
Fraction of a period |
Δt |
Time interval |
Δφ |
Phase angle shift |
{∊k} |
Quantization noise |
θ |
Observation time of x(t) |
Θi |
Arrival angle of ith signal |
λ |
Wavelength |
μ |
Mean value of time intervals τk |
ξk |
Pseudo-random numbers |
ξ(t) |
Noise |
ρ |
Correlation coefficient |
σ |
Standard deviation of time intervals τk |
σ2 |
Variance of time intervals τk |
σ2 |
Variance of quantization error |
τk |
Random time intervals |
∥φ(t)∥ |
Norm of∥ ∥ |
ω |
Angular frequency |
ωs |
Angular sampling frequency |
Ωi |
Wavenumbers |
[^] |
Estimate of [ ] |