Page 214 - Fundamentals of Radar Signal Processing

dependence of θ)

(3.48)

Now coherently integrate the N pulses x to form a single composite
k
measurement, applying a counter phase rotation to each to realign their phases:

(3.49)

The summations in the middle and last terms of Eq. (3.49) can be evaluated in
closed form to give

(3.50)

and

(3.51)

so that

(3.52)

Thus, as long as at least three pulses are used, the process of rotating the
transmitted phase, compensating the received measurements, and integrating
will suppress both the undesired image component and the DC component!

The algebraic correction technique of Eq. (3.46) is applied to individual
I/Q sample pairs, requiring two real multiplies and three real additions per time
sample (assuming the correction coefficients have been precomputed). The