Principles of Modern Radar - Volume 2 1891121537

c = velocity of propagation (speed of light, m/s)v B = bistatic velocity, i.e. the rate of change of the bistatic range (m/s);λ = center wavelength (m);T int = coherent processing interval (s);N = number of integrated samples;N τ = number of time bins in the Range-Velocity map;N f = number of Doppler bins in the Range-Velocity map;L[l,m] = SNR loss at the l-th time bin and m-th Doppler bin for sub-optimum 2D-CCFevaluation;n B = number of batches used by the Batches algorithm for 2D-CCF evaluation;N B = number of samples for each batch used by the Batches algorithm;n C = number of frequency bands (channels) used by the Channelization technique for2D-CCF evaluation;N C = number of batches used by the Channelization technique;d(t) = complex envelope of the direct signal (a delayed replica of the transmitted signal);A surv = complex amplitude of the direct signal received at the surveillance antenna;N T = number of targets;a m = complex amplitude of the echo from the m-th target;τ Tm = delay (with respect to the direct signal) of the echo from the m-th target (s);f Dm = Doppler frequency of the echo from the m-th target (Hz);N S = number of ground scatterers;c i = complex amplitude of the echo from the i-th stationary ground scatterer;τ ci = delay (with respect to the direct signal) of the echo from the i-th ground scatterer (s);n surv (t) = thermal noise contribution at the surveillance channel;s surv , s ref = vector of complex samples collected at the surveillance channel and at thereference channel;K = number of taps (degrees of freedom) used by the ECA algorithm;α = weight vector for the ECA algorithm;s ECA = vector of surveillance signal samples after ECA processing;b = number of batches used by the ECA-B algorithm;T b = temporal duration of each batch used by the ECA-B algorithm (s);N b = number of samples for each batch used by the ECA-B algorithm;P fa = Probability of False Alarm;A ref = complex amplitude of the direct signal received at the reference antenna;A m = complex amplitude of the m-th multipath replica;τ m = delay (with respect to the direct signal) of the of the m-th multipath replica (s);φ m = phase shift between direct signal and m-th multipath replica;θ m = direction of arrival (DOA) of the m-th multipath replica;n ref (t) = thermal noise contribution at the reference channel;M = number of array elements (receiving channels);L = number of taps (temporal degrees of freedom) used by the CMA algorithm;w m,l [n] = adaptive weight at the l-th tap on the m-th channel at the n-th time instant forthe CMA algorithm;μ = step-size parameter of the CMA algorithm;N P = number of pulses within the CPI for a pulsed transmission;χ (m) (τ), χ (m) [l] = temporal Cross-Correlation Function (CCF) at the m-th pulse in continuousand discrete time notations;17.1 Introduction 745