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Because the targets are not unique in each volume, the radar equation has to be developed beyond the basic one.
The radar equation The first of these is the fact that light spreads out from the emitter.
Sigma-0 is computed from the signal power measurement using the distributed target radar equation.
Range approximates to the radar equation where it varies as the fourth root of the light power.
Radar sensitivity and power of the return signal as computed in the radar equation.
Detection range can be determined using the standard radar equation, but ensuring proper account of the processing gain and external noise limitations is taken.
The primary surveillance radar is subject to the radar equation that says signal strength drops off as the fourth power of distance to the target.
The pulse-Doppler radar equation can be used to understand trade-offs between different design constraints, like power consumption, detection range, and microwave safety hazards.
This is a complex statement that can be understood by examining the monostatic (radar transmitter and receiver co-located) radar equation one term at a time:
This equation is derived by combining the Radar equation with the Noise equation and accounting for in-band noise distribution across multiple detection filters.
In this light, RCS can be viewed simply as a correction factor that makes the radar equation "work out right" for the experimentally observed ratio of .
Additional filtering and pulse integration modifies the radar equation slightly for pulse-Doppler radar performance, which can be used to increase detection range and reduce transmit power.
The receiver antenna then collects this power density with effective area , yielding the power received by the radar (watts) as given by the radar equation above.
These calculations consider the fact that the Moon is only 7% efficient as a reflector, use the radar equation (which defines a two-way path-loss model) and the assumption that the Moon is a spherical reflector.
The following number must always be set to a non-zero value CMAGIC - the so-called "Magic Number" - is the number finally patched into the radar equation to scale this into an electron density.
R0050 Radar equation Relationship between the scattering characteristics of a target and the transmitted pulse power and pulse length, the antenna, the average power returned to the receiver, the range, and the attenuation factor of the radar frequency.
The clutter return from the volume is calculated as for the normal radar equation but the radar cross section is replaced by the product of the volume backscatter coefficient, , and the clutter cell volume as derived above.