Diss / 10
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584 |
Notation Index |
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QoS |
quality of service |
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QS |
queuing system |
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SMP |
specific microprocessors |
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SPCS |
special-purpose computer subsystems |
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VLIC |
very large integrated circuit |
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i.i.d. |
independent and identically distributed |
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NLE |
not less or equal |
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R |
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the register |
SNR |
signal-to-noise ratio |
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SR |
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shift register |
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Yn |
the error vector of coordinate measuring |
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Γn |
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the known s × h matrix |
Π(r) |
the matrix of transient probabilities at the rth radar antenna scanning step |
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ηn |
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the n-dimensional vector of target track parameter disturbance |
ηn−1 |
the (h × 1) vector of disturbance of target track parameters |
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Θ |
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the space of possible values of the estimated vector parameter θn |
θ(t) |
the target track parameter vector |
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ˆ |
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the estimate vector of target track parameters |
q(ti ) |
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ˆ |
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the (s×1) vector of extrapolated target track parameters |
qexn |
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θn |
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the s-dimensional target track parameter vector at the nth step |
ˆ |
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the (s × 1) vector of estimated target track parameters |
qn |
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n |
+ |
1 |
the deterministic (undisturbed) component of the target track parameter vector at |
q′ |
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the n + 1th step |
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Φn |
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the transfer (s × s) matrix of target track model |
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Ψ |
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the error correlation matrix of linear target track parameter estimations |
Ψη |
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the correlation (h × h) matrix of target track random disturbances |
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Yexn |
the correlation (s × s) matrix of extrapolation of target track parameters |
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Ψn |
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the correlation (s × s) matrix of errors of target track parameter estimation |
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F |
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the vector-operator of functioning the controlled object |
FX(k) |
the discrete Fourier transform |
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Gn |
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the matrix filter gain |
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gmn |
the l-dimensional vector of the disturbed target track parameters |
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· |
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the. sequence of readings of the complex impulse response of the convolving filter |
H[i] |
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Hn |
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the. known m × s matrix defining a function between the observed coordinates |
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and the estimated parameters of target track |
I |
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the identity matrix |
l = {l1, l2,…, lμ} the estimated multidimensional parameter vector |
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P(r − 1) |
the row vector of probabilities of states at the previous (r − 1)th radar antenna |
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scanning step |
Q |
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the appropriate QoS vector |
|RN| |
the determinant of correlation matrix |
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R−N1 |
the inverse correlation matrix of measurer error |
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Rn |
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the m × m correlation error matrix of target track coordinate measurements |
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Stg |
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the effective scattering area of target |
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U(t) |
the control signal |
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· |
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the. sequence of complex readings of the input (convolved) function (the target |
X[i] |
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return signal) |
XU(t) |
the internal parameters |
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ˆ |
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the (m × 1) vector of extrapolated coordinate magnitudes |
Yexn |
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Yn |
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the (m × 1) vector of measured coordinate magnitudes |
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Notation Index |
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589 |
pconf |
the. |
conditional probability of the confirmation of new target range track |
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beginning |
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Q(x) |
the Gaussian Q-function |
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QBM |
the required buffer memory |
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QROM |
the ROM size |
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Qdigit |
the RAM cell array assigned to store numerical information |
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Qin |
the RAM cell array assigned to receive external information |
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Qout |
the RAM cell array assigned to store the digital signal processing results |
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Qroutine |
the RAM cell array assigned to store the routines |
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Qworking |
the RAM cell array participating at the calculation process |
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q2 |
the signal-to-interference-plus-noise ratio |
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q02 |
the signal-to-noise ratio (SNR) |
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qμ |
.the signal-to-noise ratio for the μth component (or harmonic) of the mathematical |
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expectation |
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R(t1, t2) |
the correlation function |
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R0 |
the far-field region boundary of destruction area |
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RdI |
the distance between the complex radar system and the noise source |
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Reff |
the effective radius of target destruction |
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Rn[k] |
the correlation function of the noise |
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ˆ |
the estimate of noise correlation function |
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R[k] |
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Rss*(τ0 − t) |
the autocorrelation function of expected signal s(t, α) |
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Reff |
the effective radar range |
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td j |
the far-field region boundary of destruction area |
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R0 |
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RF(x1, x2) |
the correlation function of the probability distribution function estimate F*(x) |
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Rij(ν|l) |
the conditional mutual correlation function of the estimations of the parameters |
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li and lj |
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Rt |
the distance to the target |
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Rζ(t1, t2) |
the correlation function of random component of the investigated squared stochas- |
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tic process with respect to its variance at the instant t |
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r0 |
the range of the nearest to origin point on the target track |
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r.n |
the target track parameters representing the target track coordinate |
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rn |
the velocity of target track coordinate variation |
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r¨n |
the acceleration by the target track coordinate |
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rtg, rn |
the target range |
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rtgj |
the target range measure by a single reading |
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rεi |
.the distance from the radar to the radar coverage bound under the given elevation |
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S(ti, α) |
angle value εi |
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the target return signal |
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S(E) |
the normalized signal component |
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S1 |
the gate with primary lock-in |
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Seff |
the effective area of the receive antenna |
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Sgate |
the gate area |
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Spi |
the energy spectrum of passive interferences |
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Stef |
the effective target reflective surface |
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Stg |
.the information density equal to the average number of target traverses of the |
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radar coverage external border per unit time |
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s(t) |
the signal |
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s*(t, α) |
the expected signal model generated by a local oscillator in a receiver or a |
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detector |
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sinc(x) |
the sinc function |
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592 |
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Notation Index |
β0 |
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the azimuth of the nearest to origin point on the target track |
βangle |
the angular direction of phased array axis |
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βi |
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the value of azimuth angle under receiving the ith pulse of the pulse train |
βk |
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the losses caused by the queue length for each signal flux request queuing |
βQ |
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the losses caused by idle mode |
βn |
ˆ |
the azimuth |
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the discrete weight function |
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γ (βi ,β tg) |
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γ = γ[x(t)] |
the point estimate |
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δij |
δ(τ), δ(z) |
the Kronecker symbol |
δ(t), |
the Dirac delta function |
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δfD |
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the complex radar system resolution by Doppler frequency |
δθtg |
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the required resolution to estimate the target angular coordinate |
εangle |
the angular direction of phased array axis |
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εn |
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the elevation |
ζ(t) |
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the. fluctuations of square of the investigated stochastic process realization with |
ζ1(kTs) |
respect to its mathematical expectation at the same instant t |
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the amplitude quantization Gaussian noise |
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ζ2(kTs) |
the amplitude sampling Gaussian noise |
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ζΣ(kTs) |
the summary additive amplitude quantization and sampling interference |
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η |
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the figure of merit |
ηxˆ N +1 (i) |
the weight function of measured coordinate magnitudes |
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Θ |
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the space of the possible values of estimated target track parameter |
θ |
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the direction of arrival |
θav |
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the. average interval between the spikes of stochastic process realization at the |
θb |
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level M |
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the radar antenna directional diagram beam width |
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γrel |
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the relative threshold |
λ |
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the wavelength |
vi |
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the central moment of the νth order |
ν |
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the dynamic range in dB for quantized sequence of samples |
ν(t, θi) |
the loss function formed by the target with the parameter θi |
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νin |
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the sample size of interference determined by analogous way as for νs |
νs |
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the sample size of the target return signal equal to Ns − 1 |
ξ(t) |
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the Gaussian stochastic process |
ξAF(t) |
the narrowband Gaussian noise forming at the AF output |
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ξ2AF (t) − ξ2PF (t) |
the background noise forming at the GD output |
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ξAFΣ (kTs ) |
the noise forming at the AF output of DGD input linear system |
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ξPF(t) |
the narrowband Gaussian noise forming at the PF output |
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ξPFΣ (kTs) |
the noise forming at the PF output of DGD input linear system |
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ρen(τ) |
the envelope of normalized correlation function |
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ρij |
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the interperiod correlation coefficient |
ρpi[·] |
the coefficient module of passive interference interperiod correlation |
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ρS |
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the density of false target pips per unit square of gate |
ρs |
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the coefficient of correlation of the target return signal |
ρscan |
the density of newly obtained target pips per unit area of scanning |
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σ02 |
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the variance of receiver noise |
σchp |
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the estimation of chaotic pulse interference variance |
ˆ 2 |
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σextr2 |
j |
the. variance of errors under coordinate extrapolation of the jth target range |
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track |