Inverse Synthetic Aperture Radar Imaging With MATLAB Algorithms. Caner Ozdemir

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Inverse Synthetic Aperture Radar Imaging With MATLAB Algorithms - Caner Ozdemir


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antenna through a transmission line or a waveguide. Because of the finite conductivity of the lines and other microwave components, some of the power is lost during the transmission. Therefore, the power delivered to the transmitting antenna is given by

      where L1 is the transmit loss mainly due to finite conductivity of the transmission line or dielectric losses. Once the power is delivered to the antenna, the power radiated by the antenna is

      where Γtx is the reflection coefficient at the terminal of the antenna and is given by

      (2.15)equation

Schematic illustration for obtaining bistatic radar range equation.

      (2.16)equation

      When the power is radiated by the transmitting antenna at a particular direction with the antenna gain of G1, power density at the range of R1 (where the target is located) can be found as

      (2.17)equation

      The power incident to the target is scattered with an amount of the equivalent echoing area, or simply the RCS of the target. Therefore, the scattered power is then equal to

      (2.18)equation

      Then, the power is reradiated by the target as it reaches the receiver antenna located at R2 distance away from the target. The power density of the scattered power around the receiver becomes

      (2.19)equation

      At this stage, a very small amount of power is available to the receiving antenna. Therefore, it is crucial to catch as much power as possible by using a large aperture antenna. This implies that it is preferable to use largest practical aperture or reflector to collect as much of the incident power as possible. Antennas capture the incident signals with their effective apertures, Aeff, but not their actual apertures (Balanis 1982). In most antennas, effective aperture sizes are smaller than the actual aperture sizes. The power captured by the receiver antenna is then equal to

      (2.20)equation

      (2.21)equation

      Some of the captured power is delivered to the transmission line of the receiver if the antenna is not perfectly matched. Then, the received power at the front end of the transmission line is given by

      Here, Γrx is the reflection coefficient at the terminal of the receiving antenna and is equal to

      (2.24)equation

      In the above equation, Zb is the receiving antenna's radiation impedance, and Zo is the characteristic impedance of the transmission line connected to the terminals of the antenna. The loss, 1/(1 − |Γrx|2) ≜ Lrx, associated by the impedance mismatch at the transmitter, is known as the receiver loss. Of course, if the antenna is matched, the received power will be equal to the power captured by the antenna as

      (2.25)equation

      (2.26)equation

      (2.27)equation

      In this equation, Ltot is the total loss accounted for all the losses and is given by

      (2.29)equation

      2.4.2 Monostatic Case


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