5.4 Resolution Capability of Radar Location and Radio Navigation Systems
113
Fig. 5.23 Rayleigh criterion
δα ≥ α out .
(5.71)
where δα—resolution in corresponding coordinate axis α, and α out a response width
0.5 level from a maximum.
More general criteria of a resolution (Sparrow criterion), which is applicable for
output signals of almost any shape, defines that resolution is achieved only when a
“null” between maximums is reduced up to a zero. Herewith, an interval between
maximum values is as follows that output signal responses are intersected in inflection
point of output signal envelope y out (α); i.e., when equation is complied (Fig. 5.24):
d
2 y out (α)
dα 2
α = 0
= 0.
(5.72)
In case application of Sparrow criterion, two targets differ, if interval between
maximums of output signals δα is not less than a response width α out . Thus, independently from a selected criterion, targets resolution is evaluated by a width of
output response at 0.5 level from a maximum in corresponding coordinate axis.
Fig. 5.24 Sparrow criterion
113
Fig. 5.23 Rayleigh criterion
δα ≥ α out .
(5.71)
where δα—resolution in corresponding coordinate axis α, and α out a response width
0.5 level from a maximum.
More general criteria of a resolution (Sparrow criterion), which is applicable for
output signals of almost any shape, defines that resolution is achieved only when a
“null” between maximums is reduced up to a zero. Herewith, an interval between
maximum values is as follows that output signal responses are intersected in inflection
point of output signal envelope y out (α); i.e., when equation is complied (Fig. 5.24):
d
2 y out (α)
dα 2
α = 0
= 0.
(5.72)
In case application of Sparrow criterion, two targets differ, if interval between
maximums of output signals δα is not less than a response width α out . Thus, independently from a selected criterion, targets resolution is evaluated by a width of
output response at 0.5 level from a maximum in corresponding coordinate axis.
Fig. 5.24 Sparrow criterion