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However, in most fielded systems, unwanted clutter and interference sources mean that the noise level changes both spatially and temporally. In this case, a changing threshold can be used, where the threshold level is raised and lowered to maintain a constant probability of false alarm. This is known as constant false alarm rate (CFAR) detection.
The normal deviate mapping (or normal quantile function, or inverse normal cumulative distribution) is given by the probit function, so that the horizontal axis is x = probit(P fa) and the vertical is y = probit(P fr), where P fa and P fr are the false-accept and false-reject rates.
The true-positive rate is also known as sensitivity or probability of detection. [1] The false-positive rate is also known as the probability of false alarm [1] and equals (1 − specificity). The ROC is also known as a relative operating characteristic curve, because it is a comparison of two operating characteristics (TPR and FPR) as the ...
In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay and Doppler frequency, (,). It represents the distortion of a returned pulse due to the receiver matched filter [ 1 ] (commonly, but not exclusively, used in pulse compression radar) of the return from a moving target.
In the most useful parameterizations of the Reed–Solomon code, the block length is usually some constant multiple of the message length, that is, the rate = is some constant, and furthermore, the block length is either equal to the alphabet size or one less than it, i.e., = or =.
The false coverage rate (FCR) is, in a sense, the FDR analog to the confidence interval. FCR indicates the average rate of false coverage, namely, not covering the true parameters, among the selected intervals. The FCR gives a simultaneous coverage at a level for all of the parameters considered in the problem.
The formula is derived from the speed of light and the length of the sequence [citation needed]: M U R = ( c ∗ 0.5 ∗ T S P ) {\displaystyle MUR=\left(c*0.5*TSP\right)} where c is the speed of light , usually in metres per microsecond, and TSP is the addition of all the positions of the stagger sequence, usually in microseconds.
The detection made using both PRF can be compared to identify the true range. This comparison depends upon the transmitter duty cycle (the ratio between on and off). The duty cycle is the ratio of the width of the transmit pulse width T {\displaystyle \mathrm {T} } and the period between pulses 1 / P R F {\displaystyle 1/\mathrm {PRF} } .