Abstract

Referring to the mathematical notation introduced in Chapter 1 and the geometry illustrated in Figure 4.1, the received signal at the output of the matched filter, for a generic bistatic radar configuration, can be written in the frequency/slow time domain as follows: 4.1 S(f,n)=W(f,n)∫Vf′B(x)e−j2?f?(x,n)dx 4.2 W(f,n)=K⋅rect(nN)|ST(f)|2=K⋅rect(nN)rect(f−f0B) where fB'(x) is the bistatic target reflectivity function defined in the volume V occupied by the target, f₀ and B are the central carrier frequency and the transmitted signal bandwidth, respectively, and ?(x, n) is the delay time of a scatterer placed in x = (x₁, x₂, x₃)^T, which is defined as follows: 4.3 ?(x,n)=RTx(x,n)+RRx(x,n)c where R_Tx(x, n) and R_Rx(x, n) are the distances between the scatterer and the transmitter and receiver, respectively, at the n^th sweep.