I. Summary of Equations

We ll first summarize the results obtained in Chapter 8 that are used for our computer study in this chapter.

The derived expression for the Doppler frequency ? is

in which ? ₀ is the transmitted frequency and ? _c is the center frequency of the Doppler spectrum. The center frequency ? _c is the frequency at which one-half of the average power of the Doppler spectrum lies above it. The derived expression for the Doppler spectrum bandwidth is

In the above expressions, the integrals I _n are

In the integrals, J is the Jacobian

and

All the geometric parameters in the equations are shown in Fig. 9.1. The radial distance r from the antenna to a point P on the terrain is

and

Fig. 9.1: Antenna co-ordinate geometry used for the equations.

In all these expressions, ? is the wavelength of the radiated sinusoid, v is the antenna velocity, and h is the height of the antenna above the...