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AD	arithmetical device
ADC	analog-to-digital converter
AF	additional linear system of filter
ALU	arithmetic and logic unit
AOD	associative output device
ASIC	application-specific integrated circuit
ATC	address translation controller
BA	buffer accumulator
BSOR	block of subsystem operation realizations
CB	control block
CCB	central control block
CCD	central control device
CD	correlation device
CMP	central microprocessor
CRS	complex radar system
DAC	digital-to-analog converter
DDC	digital downconverter
DFT	discrete Fourier transforms
DGD	digital generalized detector
DMF	digital matched filter
DSP	digital signal processing
DTDS	documenting and transferring data subsystems
EM	external memory
FFT	fast Fourier transform
FPGA	field programmable gate array
GD	generalized detector
HDL	hardware description language
IBA	input buffer accumulator
IC	integrated circuits
IDFT	inverse discrete Fourier transform
IF	intermediate frequency
IFFT	inverse fast Fourier transform
I/O	input/output
LO	local oscillator
MMSE	minimum mean-square error
MOTR	multi-object tracking radar
MSD	more significant digit
MSG	model signal generator or local oscillator
MTI	moving target indicator
OBA	output buffer accumulator
PF	preliminary linear system or filter
PRI	pulse repetition interval
RAM	random access memory
RF	radio frequency
ROM	read-only memory
QoS	quality of service
QS	queuing system
SMP	specific microprocessors
SPCS	special-purpose computer subsystems
VLIC	very large integrated circuit
i.i.d.	independent and identically distributed
NLE	not less or equal
R	the register
SNR	signal-to-noise ratio
SR	shift register
ΔY_n	the error vector of coordinate measuring
Γ_n	the known s × h matrix
Π(r)	the matrix of transient probabilities at the rth radar antenna scanning step
η_n	the n-dimensional vector of target track parameter disturbance
η_n-1	the (h× 1) vector of disturbance of target track parameters
Θ	the space of possible values of the estimated vector parameter θ_n
θ(t)	the target track parameter vector
$\hat{θ} (t_{i})$ $\hat{θ} (t_{i})$	the estimate vector of target track parameters
${\hat{θ}}_{e x_{n}}$ ${\hat{θ}}_{e x_{n}}$	the (s×1 )vector of extrapolated target track parameters
θ_n	the s-dimensional target track parameter vector at the nth step
${\hat{θ}}_{n}$ ${\hat{θ}}_{n}$	the (s× 1) vector of estimated target track parameters
${θ^{'}}_{n + 1}$ ${θ^{'}}_{n + 1}$	the deterministic (undisturbed) component of the target track parameter vector at the n +1th step
Φ_n	the transfer (s × s)matrix of target track model
Ψ	the error correlation matrix of linear target track parameter estimations
Ψ_η	the correlation (h × h)matrix of target track random disturbances
Ψ_{ex_n}	the correlation (s × s)matrix of extrapolation of target track parameters
Ψ_n	the correlation (s × s)matrix of errors of target track parameter estimation
F	the vector-operator of functioning the controlled object
F_X(K)	the discrete Fourier transform
G_n	the matrix filter gain
g_{m_n}	the L-dimensional vector of the disturbed target track parameters
$\dot{H} [i]$ $\dot{H} [i]$	the sequence of readings of the complex impulse response of the convolving filter
H_n	the known m × s matrix defning a function between the observed coordinates and the estimated parameters of target track
I	the identity matrix
I={l₁,l₂,...,l_μ}	the estimated multidimensional parameter vector
P(r-1)	the row vector of probabilities of states at the previous (r - 1)th radar antenna scanning step
Q	the appropriate QoS vector
\|R_N\|	the determinant of correlation matrix
$R_{N}^{- 1}$ $R_{N}^{- 1}$	the inverse correlation matrix of measurer error
R_n	the m × m correlation error matrix of target track coordinate measurements
S_tg	the effective scattering area of target
U(t)	the control signal
$\dot{X} [i]$ $\dot{X} [i]$	the sequence of complex readings of the input (convolved) function (the target return signal)
X_u(t)	the internal parameters
${\hat{Y}}_{e x_{n}}$ ${\hat{Y}}_{e x_{n}}$	(m × 1) vector of extrapolated coordinate magnitudes
Y_n	the (m × 1) vector of measured coordinate magnitudes
$A_{j}^{c h p}$ $A_{j}^{c h p}$	the amplitude of chaotic pulse interference
α	the coefficient depending on a direction to the noise source
B_N	the receiver bandwidth
b[F^*(x)]	the bias of the probability distribution function estimate
b(γ_E\|E₀)	the conditional estimate bias
b{var∗(t₀,T)}	the bias of variance of stochastic process
C	the threshold
Dⁱ	the operator delaying the input data on i cycles
D(γ_E\|E₀)	the conditional dispersion of the obtained estimate
d	the length of antenna aperture
det ‖…‖	the determinant of matrix
det ψ_{n_f}	the determinant of the diagonal or factored correlation matrix of errors
d(T_sc)	the variation of radar range coordinate within the limits of the radar antenna scanning period T_sc
d_t	the dynamic range of analog part of receiver
E∗	the mathematical expectation estimate of stochastic process
E₀	the true value
E_E,Ê	the mathematical expectation estimate
E_S	the energy during scanning
E_s	the energy of the received signal
E(t₀)	the mathematical expectation of stochastic process at the instant t₀
$E_{z} [\hat{ρ}]$ $E_{z} [\hat{ρ}]$	the mean of decision statistic when the input process samples are correlated with each other
E[X]	the mathematical expectation of random variable X
F	the repetition frequency of scanning signals
F(x)	the one-dimensional probability distribution function
F∗(x)	the estimate of the probability distribution functionF(x)
F[x(t)∣E₀]	the pdf functional of the Gaussian process
F(x₁,x₂; τ)	the two-dimensional probability distribution function
$\hat{f}$ $\hat{f}$	the mean-square frequency value of the spectral density S(f) of stochastic process ξ(t)
${\bar{f}}_{D_{p i}}$ ${\bar{f}}_{D_{p i}}$	the estimator of the average Doppler frequency of passive interference
f_c	the carrier frequency
f_l-1,f_l,f_l+1	the nonweighted signals at the outputs of l - 1th, lth, and l + 1th Doppler channels
$f_{l}^{w e i g h t}$ $f_{l}^{w e i g h t}$	the weighted signal at the output of lth Doppler channel
f_max	the cutoff frequency of target return signal spectrum
f_mod	the modulation frequency
f_s	the sampling rate
f(ΔR,Δβ,Δε)	the pdf of target coordinate deviation from the target designation area center
G(nf_s)	the Fourier transform of x(t)
G∗(f₀)	the estimate of spectral density
G_can	the coefficient of passive interference cancellation
G_im	the coefficient of improvement
G_s	the coefficient characterizing a signal passing through the passive interferences equalizer
G_tr₀	the amplifier coefficient of transmit antenna on the phased array axis
G_tr	the transmit antenna gain
G_r	the receive antenna gain
G_ro	the amplifier coefficient of receive antenna on the phased array axis
g(β_i,β_tg)	the function defining the radar antenna directional diagram envelope in the scanning plane
g(x)	the quantization step
g_fi	the probability of detection at least one false target pip within the gate volume V_i
g_m	the distortion parameter
h(t)	the impulse response of linear system
h_AF(τ)	the AF impulse response
h_{i_rf}	the coefficients of digital recursive filter impulse response
h_PF(τ)	the PF impulse response
I₀(x)	the zero order Bessel function of the first kind
i^true	the number of target pip considered true
K	the detection threshold
k_g	the DGD threshold
$K_{i}^{l o a d}$ $K_{i}^{l o a d}$	the coefficient of loading
K_mes	the covariance matrix of estimation errors
$K_{m e s}^{t r}$ $K_{m e s}^{t r}$	the covariance matrix of estimation errors of target trajectory parameters
K_red	the coefficient of reduction
K	the Boltzmann constant
$K_{t r}^{c a n}$ $K_{t r}^{c a n}$	the criterion to cancel the target range tracking
K_use	the coefficient of energy use
L_gate	the number of resolved elements within the gate
L_V(Y)	the Laguerre polynomial
l_eff	the effective length of antenna aperture normalized with respect to wavelength
M_R	the number of discrete resolution elements by radar range
N(E)	the normalized noise component
N₀	the power spectral density of set noise
${\bar{N}}_{a i}$ ${\bar{N}}_{a i}$	the average number of arithmetical operations required for the ith algorithm
N_b	the number of code bits
N_bz	the number of scanned directions within the limits of the buffer zone
N_cell	the number of cells within the radar coverage
${\bar{N}}_{D}^{t r u e}$ ${\bar{N}}_{D}^{t r u e}$	the average number of the true target tracks in detection process
${\bar{N}}_{D i}$ ${\bar{N}}_{D i}$	the average number of gates with the number j
N_d	the deliberate interference
N_e	the number of elementary signals
${\bar{N}}_{f a l s e}$ ${\bar{N}}_{f a l s e}$	the average number of false target pips
${\bar{N}}_{f t r}$ ${\bar{N}}_{f t r}$	the average number of false target range tracks
N_i	the number of scans in the radar coverage along the ith direction
${\bar{N}}_{j}^{l o c k - i n}$ ${\bar{N}}_{j}^{l o c k - i n}$	the average number of the primary lock-in gates with the number j
${\bar{N}}_{j}^{s c a n}$ ${\bar{N}}_{j}^{s c a n}$	the average number of jth target tracking gates for all true and false target tracking trajectories
$N_{j t}^{(k)}$ $N_{j t}^{(k)}$	the number of sweeps during the sth scanning of the jth priority zone at the kth control cycle
N_MTI	the MTI number
N_mp	the required number of the same type microprocessors
N_N+1	the power spectral density of total noise and interferences
N_pi	the sample size of passive interferences
N_q	the number of quantization levels
N_s	the number of target return pulses in train
N_sc	the number of scans in each direction
N_sp	the number of convolution operations
N_tg	the number of targets within the limits of scanning area
N_total	the total average number of operations carried out under a single realization of digital signal processing algorithm
${\bar{N}}_{t r u e}$ ${\bar{N}}_{t r u e}$	the average number of true target pips
${\bar{N}}_{t r u e}^{l o c k - i n}$ ${\bar{N}}_{t r u e}^{l o c k - i n}$	the average number of the primary lock-in gates of true target tracks
N_φ	the number of phase counts
${\bar{n}}^{ϰ_{1}}$ ${\bar{n}}^{ϰ_{1}}$	the average number of tests at sequential analysis procedure in the direction of target presence
${\bar{n}}^{ϰ_{0}}$ ${\bar{n}}^{ϰ_{0}}$	the average number of tests at sequential analysis procedure in the direction of target absence
n₀	the number of discrete elements of the model signal
${\bar{n_{2}}}^{ϰ_{1}}$ ${\bar{n_{2}}}^{ϰ_{1}}$	the average number of tests at sequential analysis procedure in the direction of target presence at the second stage
${\bar{n}}_{_{2}}^{^{ϰ_{0}}}$ ${\bar{n}}_{_{2}}^{^{ϰ_{0}}}$	the average number of tests at sequential analysis procedure in the direction of target absence at the second stage
n_b	the number of bit site
${\bar{n}}_{f a l s e}^{s c a n}$ ${\bar{n}}_{f a l s e}^{s c a n}$	the average number of false target pips inside the target tracking gates under each scanning
$\bar{n_{k}}$ $\bar{n_{k}}$	the average cycle of sequential analysis at the kth radar range resolution element
n_sc	the number of points of location on the target tracking
$n_{t g}^{t r a c k}$ $n_{t g}^{t r a c k}$	the number of tracked targets
n_tr	the truncation threshold
${\bar{n}}_{t r u e}^{s c a n}$ ${\bar{n}}_{t r u e}^{s c a n}$	the average number of true target pips coming in the target tracking gates under each scanning
P	the probability
P(g_{m_jn}\|{Y}_n)	the a posteriori probability of the event g_{_mjn} = g_m_j by data of n measurements {Y}_n
P(g_{m_jn}\|{Y}_n-1)	the a priori probability of the parameter g_mj at the nth step
$P_{1 j}^{(r - i)}$ $P_{1 j}^{(r - i)}$	the probability of system transition from the initial state a₁ to the state a_j for r - j steps
P_{2_j}	the probability of success under the parameter clarification of the jth target
P_{3_ij}	the probability of destruction of the jth target
P_beg	the probability that the target pip belongs to beginning the new target track
P_br	the probability of breaking up in the target tracking
P_circuit(t_real)	the probability of microprocessor subsystem circuit drop-in within the limits of t_real
P_D	the probability of detection
P_DD	the probability of the true target pip detection into the detected target track gates
$P_{D}^{g a t e}$ $P_{D}^{g a t e}$	the probability of detection of true target pips within the limits of the target tracking gates
$P_{D}^{l o c k - i n}$ $P_{D}^{l o c k - i n}$	the probability of the true target pip detection into the primary lock-in gates
$P_{D}^{t r}$ $P_{D}^{t r}$	the probability of target trajectory detection
$P_{D_{j}}^{f a l s e}$ $P_{D_{j}}^{f a l s e}$	the probability of the false target pip hit into the detected target track gates with the number J
P_d1	the power of noise source
P_ex(c)	the probability of wrong decision at sequential analysis
$P_{e r}^{t r}$ $P_{e r}^{t r}$	the probability of error at the truncation procedure
$P_{e r} (\bar{n} < n_{t r})$ $P_{e r} (\bar{n} < n_{t r})$	the probability of wrong decision at sequential analysis procedure before truncation
P_F	the probability of false alarm
P_F₁	the probability of false alarm at the first stage
$P_{F}^{t r}$ $P_{F}^{t r}$	the probability of target trajectory false alarm
$P_{F_{j}}^{l o c k - i n}$ $P_{F_{j}}^{l o c k - i n}$	the probability of false target pip hit into the primary lock-in gates with the number j
$P_{F_{j}}^{s c a n}$ $P_{F_{j}}^{s c a n}$	the probability of the false target pip hit into the jth target tracking gate
P_{f_tr}	the unconditional probability of detection of the false target range track
P_fail(t_real)	the probability of microprocessor subsystem failure within the limits of t_real
P_failure	the probability of target tracking failure within the limits of scanning range
P_ind	the probability of correct indication
P_ind(v_j)	the probability of indication of true target pip among false target pips within the gate volume V_i
P_miss	the probability of miss
P_{new_i}	the probability of event that the target pip belongs to a newly detected target
$P_{p i}^{o u t}$ $P_{p i}^{o u t}$	the power of the passive interference at the equalizer output
P_p	the transmit pulse power
$P_{p i}^{i n}$ $P_{p i}^{i n}$	the power of the passive interference at the equalizer input
${p^{'}}_{s c}$ ${p^{'}}_{s c}$	the probability of duplicate scanning in the “no” signal direction
$P_{s u c}^{d e s t}$ $P_{s u c}^{d e s t}$	the probability of target destruction
P_ij	the probability of the jth armed attack facility damage by the ith defended facility
P_p	the power of transmitted pulse
P_s(Φ_i)	the probability of target detection in the ith cell under the condition that the energy φ_i is required to do it
$\bar{P_{s c a n}}$ $\bar{P_{s c a n}}$	the average power of scanning signal
P_scan	the power of scanning pulse
$P_{s u c}^{d e s t}$ $P_{s u c}^{d e s t}$	the conditional probability of target destruction
$P_{t}^{a v}$ $P_{t}^{a v}$	the transmit power
P_t(i)	the a priori probability of target presence in the ith cell
P*_{t_N}(ν)	the a posteriori probability of target presence in the νth cell determined at the instant t_N
P_td	the probability to lock-in the target
P_{td_j}	the probability of success under the target designation with respect to the jth target
P_tg(r)	the probability of target detection at the rth radar antenna scanning
$P_{t g p i}^{t r u e}$ $P_{t g p i}^{t r u e}$	the probability of detection of a newly obtained target pip
P_{x_ij}	the probability of deviation of the ith target pip from the extrapolated point of the jth target range track
P(Y_n\|g_j,n-1)	the conditional pdf of the observed magnitude of the coordinate Y_n
P(θ_n\|{Y}_n)	the a posteriori pdf of the current value of parameter vector θ_n by sequence of measured data {Y}_n
P(Y_n\|θ_n)	the likelihood function of the last nth coordinate measuring
P(x₁,x₂,...,x_n\|l_fix)	the pdf of observed data sample at some fixed value of the estimated random process parameter l_fix
P₂(x₁,x₂,...,x_n;τ)	the two-dimensional pdf of the observed stochastic process
P*(t)	the pdf estimate
P_post(γ)	the a posteriori pdf
P_pr(l)	the a priori pdf
P_tr(r)	the probability of true target pip detection in the course of the rth radar antenna scanning
P_beg	the conditional probability of new target range track beginning
P_conf	the conditional probability of the confirmation of new target range track beginning
Q(x)	the Gaussian Q-function
Q_BM	the required buffer memory
Q_ROM	the ROM size
Q_digit	the RAM cell array assigned to store numerical information
Q_in	the RAM cell array assigned to receive external information
Q_out	the RAM cell array assigned to store the digital signal processing results
Q_routine	the RAM cell array assigned to store the routines
Q_working	the RAM cell array participating at the calculation process
q²	the signal-to-interference-plus-noise ratio
$q_{0}^{2}$ $q_{0}^{2}$	the signal-to-noise ratio (SNR)
q_μ	the signal-to-noise ratio for the μth component (or harmonic) of the mathematical expectation
R(t₁,t₂)	the correlation function
R₀	the far-field region boundary of destruction area
R_dI	the distance between the complex radar system and the noise source
R_eff	the effective radius of target destruction
R_n[K]	the correlation function of the noise
$\hat{R} [K]$ $\hat{R} [K]$	the estimate of noise correlation function
R_ss*(τ₀ - t)	the autocorrelation function of expected signal s(t, α)
$R_{t d_{j}}^{e f f}$ $R_{t d_{j}}^{e f f}$	the effective radar range
R₀	the far-field region boundary of destruction area
R_F(x₁,x₂)	the correlation function of the probability distribution function estimate F*(x)
R_ij(v\|l)	the conditional mutual correlation function of the estimations of the parameters l_i and l_j
R_t	the distance to the target
R_ζ(t₁,t₂)	the correlation function of random component of the investigated squared stochastic process with respect to its variance at the instant t
r₀	the range of the nearest to origin point on the target track
r_n	the target track parameters representing the target track coordinate
${\dot{r}}_{n}$ ${\dot{r}}_{n}$	the velocity of target track coordinate variation
${\ddot{r}}_{n}$ ${\ddot{r}}_{n}$	the acceleration by the target track coordinate
r_tg,r_n	the target range
r_{tg_j}	the target range measure by a single reading
r_εi	the distance from the radar to the radar coverage bound under the given elevation angle value ε_i
S(t_i,α),	the target return signal
S(E)	the normalized signal component
S₁	the gate with primary lock-in
S_eff	the effective area of the receive antenna
S_gate	the gate area
S_pi	the energy spectrum of passive interferences
$S_{t}^{e f}$ $S_{t}^{e f}$	the effective target reflective surface
S_tg	the information density equal to the average number of target traverses of the radar coverage external border per unit time
s(t)	the signal
s(t*,α)	the expected signal model generated by a local oscillator in a receiver or a detector
SINC(x)	the sinc function
T	the absolute temperature
T₀	the absolute temperature of signal source
T_c	the time of conversion
T_cc	the time of conversion cycle
$T_{k}^{t o t a l}$ $T_{k}^{t o t a l}$	the assigned period of scanning for the kth zone
$T_{{(l + 1)}_{i}}^{t o t a l}$ $T_{{(l + 1)}_{i}}^{t o t a l}$	the period of the ith scanning for the l + 1th zone
T_m	the average duration of target maneuver
T_max	the maximal repetition period
$T_{m p}^{\sin g l e}$ $T_{m p}^{\sin g l e}$	the realization time of all algorithms for a single microprocessor subsystem
T_new	the period of getting new information about the target
T_p	the period of pulse repetition
T_renew	the period of refreshment at the preliminary target tracking stage
T_Si	the period of the ith zone scanning
T_s	the sampling period
T_scan	the radar antenna scanning period
$T_{s c a n}^{p e r}$ $T_{s c a n}^{p e r}$	the permissible period of scanning
T_th	the threshold value
T_sol	the time to solve the problem
$t_{Σ}^{(k)}$ $t_{Σ}^{(k)}$	the time required to scan the priority zones
t₀	the observation time
t_{d_j}	the time required to detect the jth target
t_finish	the instant to finish the target maneuver
${\bar{t}}_{i}^{w a i t}$ ${\bar{t}}_{i}^{w a i t}$	the average waiting time for request queue before the ith phase
t*_k	the limiting value of average request-queuing system time for requests of the kth incoming signal flux
$\bar{t_{k_{i}}^{t o t a l}}$ $\bar{t_{k_{i}}^{t o t a l}}$	the average time required to scan the priority zone at the ith scanning
t_{l_j}	the time of lock-in of the jth target to track
$t_{{(l + 1)}_{i}}^{t o t a l}$ $t_{{(l + 1)}_{i}}^{t o t a l}$	the time required to scan the no priority (l + 1)th zone at the ith scanning
${\bar{t}}_{r c}$ ${\bar{t}}_{r c}$	the average time of target remaining within the limits of radar coverage
t_real	the time of a single realization of digital signal processing algorithm for the solved problem
${\bar{t}}_{S i}$ ${\bar{t}}_{S i}$	the average time to search the ith zone
t_start	the instant to start the target maneuver
t_{tr_{j_td}}	the time of the jth target tracking
t_{td_j}	the time required to transmit information about the target designation
t_{tr_j}	the tracking time of the jth target to track
${\bar{t}}_{w a i t}$ ${\bar{t}}_{w a i t}$	the average waiting time for all requests
tr Ψ_{n_f}	the correlation matrix of errors
U₀	the threshold of binary quantization
V_el	the volume of total error ellipsoid
V_par	the volume of total error parallelepiped
V_A	the scanning speed of antenna beam
VAR*	the variance estimate
VAR(γ\|l)	the estimate variance
VAR_prior	the variance of a priori distribution
VAR{VAR*(t₀,T}	the variance of variance estimate
$V_{D S}^{e f f e c t i v e}$ $V_{D S}^{e f f e c t i v e}$	the effective speed of the operation of the detector-selector
V_eff	the average number of operations per second under realization of the specific digital signal processing algorithm
V_{eff_i}	the effective operation speed of the ith microprocessor
V_{eff_j}	the relative velocity of the jth target motion
V_tg	the target velocity
${\hat{V}}_{X_{n}}^{t g}$ ${\hat{V}}_{X_{n}}^{t g}$	the estimation of target velocity by the Cartesian coordinates X
${\hat{V}}_{x_{\max}}$ ${\hat{V}}_{x_{\max}}$	the maximal speed of the variations of the sampled and quantized target return signal
${\hat{V}}_{Y_{n}}^{t g}$ ${\hat{V}}_{Y_{n}}^{t g}$	the estimation of target velocity by the Cartesian coordinates Y
W(ω)	the even weight function of frequency ra or the function of spectral window
w	the target return signal weight
w[i]	the weight “window” function
w[t]	the stationary white Gaussian noise
X(t)	the low-frequency signal (envelope)
$\dot{X} (t)$ $\dot{X} (t)$	the complex envelope of the narrowband signal
X_i	the samples of the input signal
x(t)	the target return signal
x(nT_s)	the sampled target return signal
x_I(t)	the in-phase component of the narrowband target return signal x(t)
x_i	the relative envelope amplitude
${\tilde{x}}_{i}$ ${\tilde{x}}_{i}$	the reference noise with a priori information, a “no” signal
x₀(t)=x(t)-E(t)	the centered Gaussian stochastic process
x_Q(t)	the quadrature component of the narrowband target return signal x(t)
x_δ(t)	the instantaneously (ideal) sampled target return signal
${\bar{Z}}_{n_{i l}}^{2}$ ${\bar{Z}}_{n_{i l}}^{2}$	the squared signal amplitude on next (nth) update step by the data of three Doppler zero velocity filters at ith resolution element by radar range at 1th azimuth direction
${\hat{Z}}_{{(n - 1)}_{u}}^{2}$ ${\hat{Z}}_{{(n - 1)}_{u}}^{2}$	the previous estimation of squared signal amplitude at ith resolution element by radar range at lth azimuth direction
$Z_{G D}^{o u t} (t)$ $Z_{G D}^{o u t} (t)$	the process forming at the GD output
$Z_{D G D}^{o u t} (r_{i})$ $Z_{D G D}^{o u t} (r_{i})$	the known rank function
$Z_{I Q_{n r}}^{i n} [n - i]$ $Z_{I Q_{n r}}^{i n} [n - i]$	the in-phase and quadrature components of signal at the filter input (the DGD output)
Δ_β	the gate sampling interval by the coordinates β
Δ_r	the gate sampling intervals by the coordinate r
Δβ_gate	the angular size by azimuth in radian
$Δ {\hat{\bar{ϕ}}}_{D_{p i}}$ $Δ {\hat{\bar{ϕ}}}_{D_{p i}}$	the equivalent Doppler shift in phase within the limits of the period T
ΔF₀	the target return signal frequency deviation
Δf_Dmax	the Doppler frequency range
Δf_dI	the noise bandwidth
Δ_F	the AF or PF bandwidth
Δf_pi	the bandwidth of passive interference spectrum at the level 0.5
Δf_s	the signal bandwidth
$Δ f_{s}^{e f f}$ $Δ f_{s}^{e f f}$	the effective signal bandwidth
Δf_tg	the spectrum bandwidth of the fluctuated target return signal
Δx	the quantization step
Δℒ_gμ	the likelihood ratio increment at the μth step of sequential analysis
\|Δℛ\|	the maximum allowable value of interpolation error of the normalized correlation function ℛ(τ)
∧l)	the likelihood ratio
$\hat{\land} (l)$ $\hat{\land} (l)$	the likelihood function
α	the regularization parameter
α_k	the weight coefficients
β₀	the azimuth of the nearest to origin point on the target track
β_angle	the angular direction of phased array axis
β_i	the value of azimuth angle under receiving the ith pulse of the pulse train
β_k	the losses caused by the queue length for each signal flux request queuing
β_Q	the losses caused by idle mode
β_n	the azimuth
$γ (β_{i}, {\hat{β}}_{t g})$ $γ (β_{i}, {\hat{β}}_{t g})$	the discrete weight function
γ=γ[x(t)]	the point estimate
δ_ij	the Kronecker symbol
δ(t),δ(τ),δ(Ζ)	the Dirac delta function
δf_D	the complex radar system resolution by Doppler frequency
δθ_tg	the required resolution to estimate the target angular coordinate
ε_angle	the angular direction of phased array axis
ε_n	the elevation
ζ(t)	the fluctuations of square of the investigated stochastic process realization with respect to its mathematical expectation at the same instant t
ζ₁(kT_s)	the amplitude quantization Gaussian noise
ζ₂(kT_s)	the amplitude sampling Gaussian noise
ζ_Σ(kT_s)	the summary additive amplitude quantization and sampling interference
η	the figure of merit
$η_{{\hat{x}}_{N + 1}} (i)$ $η_{{\hat{x}}_{N + 1}} (i)$	the weight function of measured coordinate magnitudes
Θ	the space of the possible values of estimated target track parameter
θ	the direction of arrival
θ_av	the average interval between the spikes of stochastic process realization at the level M
θ_b	the radar antenna directional diagram beam width
γ_rel	the relative threshold
λ	the wavelength
μ_vi	the central moment of the vth order
ν	the dynamic range in dB for quantized sequence of samples
ν(t,θ_i	the loss function formed by the target with the parameter θ_i
ν_in	the sample size of interference determined by analogous way as for v_s
ν_s	the sample size of the target return signal equal to N_s - 1
ξ(t)	the Gaussian stochastic process
ξ_AF(t)	the narrowband Gaussian noise forming at the AF output
$ξ_{A F}^{2} (t) - ξ_{P F}^{2} (t)$ $ξ_{A F}^{2} (t) - ξ_{P F}^{2} (t)$	the background noise forming at the GD output
ξ_{AF_Σ}(kT_s)	the noise forming at the AF output of DGD input linear system
ξ_PF(t)	the narrowband Gaussian noise forming at the PF output
ξ_{PF_Σ}(kT_s)	the noise forming at the PF output of DGD input linear system
ρ_en(τ)	the envelope of normalized correlation function
ρ_ij	the interperiod correlation coefficient
ρ_pi[·]	the coefficient module of passive interference interperiod correlation
ρ_S	the density of false target pips per unit square of gate
ρ_s	the coefficient of correlation of the target return signal
ρ_scan	the density of newly obtained target pips per unit area of scanning
$σ_{0}^{2}$ $σ_{0}^{2}$	the variance of receiver noise
${\hat{σ}}_{c h p}^{2}$ ${\hat{σ}}_{c h p}^{2}$	the estimation of chaotic pulse interference variance
$σ_{e x t r_{j}}^{2}$ $σ_{e x t r_{j}}^{2}$	the variance of errors under coordinate extrapolation of the jth target range track
σ_{f_D}	the root-mean-square value of potential error under the measurement of the Doppler frequency
$σ_{g}^{2}$ $σ_{g}^{2}$	the variance of target maneuver intensity for each target
$σ_{h i t}^{2}$ $σ_{h i t}^{2}$	the error variance to hit the target by missile
$σ_{l a u n c h e r}^{2}$ $σ_{l a u n c h e r}^{2}$	the error variance of antitarget guidance by a launcher
$σ_{l_{n}}^{2}$ $σ_{l_{n}}^{2}$	the variance of error of lth parameter estimation at nth filtering step
$σ_{m}^{2}$ $σ_{m}^{2}$	the variance of the target maneuver intensity
$σ_{m e a s_{i}}^{2}$ $σ_{m e a s_{i}}^{2}$	the variance of errors of coordinate measurement of the ith target pip
$σ_{m e s}^{2}$ $σ_{m e s}^{2}$	the variance of estimation error
$σ_{m i s s}^{2}$ $σ_{m i s s}^{2}$	the variance of miss
$σ_{m i s s i l e}^{2}$ $σ_{m i s s i l e}^{2}$	the error variance of missile flight path
$σ_{n}^{2}$ $σ_{n}^{2}$	the white Gaussian noise variance
$σ_{o u t}^{2}$ $σ_{o u t}^{2}$	the total error variance at the digital filter output
$σ_{p i_{i n}}^{2}$ $σ_{p i_{i n}}^{2}$	the variance of the passive interference at the equalizer input
$σ_{p i_{o u t}}^{2}$ $σ_{p i_{o u t}}^{2}$	the variance of the passive interference at the equalizer output
$σ_{r_{j}}^{2}$ $σ_{r_{j}}^{2}$	the variance of estimation of the target range measure by a single reading
$σ_{q}^{2}$ $σ_{q}^{2}$	the variance of quantization errors
$σ_{q \sum}^{2}$ $σ_{q \sum}^{2}$	the variance of statical quantization errors
$σ_{S_{i}}^{2}$ $σ_{S_{i}}^{2}$	the variance of target return signal amplitude
$σ_{i_{d}}^{2}$ $σ_{i_{d}}^{2}$	the variance of error of a single reading of the time delay t_d
$σ_{x_{m}}^{2}$ $σ_{x_{m}}^{2}$	the variance of coordinating measuring errors
$σ_{Z}^{2} (\hat{ρ})$ $σ_{Z}^{2} (\hat{ρ})$	the variance of decision statistic when input process samples are correlated with each other
σ_η	the mean-square deviations of true target pips from the gate center along the axes η
$σ_{ς_{1}}^{2}$ $σ_{ς_{1}}^{2}$	the variance of amplitude quantization errors
$σ_{ς_{2}}^{2}$ $σ_{ς_{2}}^{2}$	the variance of amplitude sampling errors
$σ_{ς_{\sum}}^{2}$ $σ_{ς_{\sum}}^{2}$	the summary additive amplitude quantization and sampling interference variance
$σ_{{\hat{θ}}_{j} a c c e p t}^{2}$ $σ_{{\hat{θ}}_{j} a c c e p t}^{2}$	the acceptable value of filtering error variance at the line of the release of information
σ_ξ	the mean-square deviations of true target pips from the gate center along the axes ξ.
$σ_{ξ^{2}_{A F \sum} - ξ^{2}_{P F \sum}}^{2}$ $σ_{ξ^{2}_{A F \sum} - ξ^{2}_{P F \sum}}^{2}$	the variance of the total background noise and interferences forming at the DGD output
σ_θ	the root-mean-square value of potential error under measurement of the angular coordinates
σ_τ	the root-mean-square value of potential error under measurement of delay
τ	the pulse duration
τ₀	the duration of the sampled signal
τ_av	the average duration of spike of stochastic process realization at the level M
τ_clean	the time to clean memory cells
τ_cor	the correlation interval
$τ_{c y c l e}^{r e a d}$ $τ_{c y c l e}^{r e a d}$	the cycle time at reading
$τ_{c y c l e}^{r e c}$ $τ_{c y c l e}^{r e c}$	the cycle time at recording
${\bar{τ}}_{D S}$ ${\bar{τ}}_{D S}$	the average request queuing time
τ_ex	the interval of extrapolation time
${\bar{τ}}_{i}$ ${\bar{τ}}_{i}$	the average request queuing time during the ith phase
${\bar{τ}}_{m e m o r y}$ ${\bar{τ}}_{m e m o r y}$	the average time to fill out the memory
τ_queue	the time of a single request queue
${\bar{τ}}_{q u e u e}$ ${\bar{τ}}_{q u e u e}$	the average time queue
τ_read	the time to read information
τ_rebuild	the time to repair information destroyed under reading
τ_rec	the time to record information
τ_s	the duration of scanning signal
${\bar{τ}}_{s c a n}$ ${\bar{τ}}_{s c a n}$	the average time of directional analysis, in which there are targets
$τ_{^{s c a n}}^{c o m p}$ $τ_{^{s c a n}}^{c o m p}$	the duration of compressed linear-frequency scanning signal
τ_search	the time to search information
${\bar{τ}}_{t g}$ ${\bar{τ}}_{t g}$	the average time interval between two considered events (the target traverses)
Φ(x)	the standard normal Gaussian pdf
Φ₀(x)	the integral of probability
φ₀	the one-half main beam width of the radar antenna directional diagram at zero level
φ_k(t)	the orthogonal functions
φ(ν)	the function characterizing the shape of radar antenna directional diagram
φ(t)	the phase modulation law of the narrowband signal
φ_dd	the width of radar antenna directional diagram in the searching plane at the given power P level
φ_i	the energy to scan the ith cell
χ_DS	the loading factor
χ_MTI	the MTI loading factor
Ω	the switching function frequency
ω₀	the resonance frequency
ϖ(ij\|i₀j₀)	the set of the weight coefficients
ℱ(·)	the coefficient of asymptotic relative efficiency
ℱ[Ζ]	the nearest integer NLE Ζ
ℱ₁(ω)	the Fourier transform of the normalized correlation function envelope ρ_en(τ)
ϰ(f)	the filter transfer function module
ϰ	the generalized loss factor
ℒ	the total loss factor
ℒ(x\| θ	the conditional likelihood ratio
ℒ(θ_N)	the likelihood function of the vector parameter θ_N estimated by sequent measurements {Y_N}
ℒ(β_tg)	the likelihood function of the estimated target angular coordinate β_tg
ℒ(γ,E)	the quadratic loss function
ℒ(γ,l)	the loss function
ℒ_ac	the coefficient taking into consideration losses under accumulation process
ℒ_g	the likelihood ratio for the generalized signal processing algorithm
ℒ_{g_μ-1}	the accumulated likelihood ratio over μ- 1 steps
ℳ_tg	the target importance
$N (t_{i})$ $N (t_{i})$	the noise
$N_{0}$ $N_{0}$	the two-sided power spectral density of white noise
$N_{Σ}$ $N_{Σ}$	the total noise power spectral density at the receiver input
$N_{i n}^{a c t i v e}$ $N_{i n}^{a c t i v e}$	the average power spectral density of active interferences
Ν(l)	the normalized noise function
P	the value of classification factor
ℛ^av(...),ℛ(γ)	the average risk
ℛ_m	the Bayes risk
ℛ_post(γ)	the a posteriori risk
ℛ(iΔ	the normalized correlation function of observed stochastic process
ℛ(τ)	the normalized correlation function
S(l)	the normalized signal function
S(ω)	the Fourier transform of mathematical expectation of the function s(t) - the spectral density
S(jω)	the frequency characteristic of the low-pass filter
S(ω)	the spectral power density

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Notation Index

Table of Contents for
Notation Index