Page 20 - Fundamentals of Radar Signal Processing

Symbols

The following definitions and relations between symbols are used throughout
this text except as otherwise specifically noted. Some symbols, such as θ, have
more than one usage; their meaning is generally clear from the context.

* Convolution operator

⊗ Kronecker product operator

Hadamard product operator
(x) Continuous variable x

[x] Discrete variable x
((·)) x Modulo x

~ “Is distributed as”
x Vector variable

X Matrix variable
x' Matrix or vector transpose

x* Complex conjugate
x H Hermitian transpose

α q Clutter temporal fluctuation vector

α GO Threshold multiplier, “greatest-of” CFAR
α log Threshold multiplier, log CFAR
α SO Threshold multiplier, “smallest-of” CFAR

α ν Doppler time scaling factor

β Bandwidth; standard deviation of interference process
β C Nonlinear term of nonlinear FM waveform bandwidth

β D Doppler bandwidth
β L Linear term of nonlinear FM waveform bandwidth

β n Noise-equivalent receiver bandwidth
β nn Null-to-null bandwidth

β r Rayleigh bandwidth
β rms Root-mean-square bandwidth

β = υ/c Normalized velocity
υ
β , β , β z Spatial bandwidth in x, y, and z dimensions
y
x
χ Signal-to-noise ratio

χ 1 Single sample signal-to-noise ratio
χ N N-sample signal-to-noise ratio