Page 271 - Fundamentals of Radar Signal Processing
P. 271
The waveform is defined as
(4.89)
Thus
(4.90)
The integrand phase and its derivatives are then
(4.91)
The stationary points are found by setting ϕ′(t, Ω) = 0 and solving for t. In this
case, there is only one stationary point:
(4.92)
Inserting Eq. (4.92) into Eq. (4.88) gives
(4.93)
Recalling the finite support of the signal envelope A(t), the term A(Ω/2α)
becomes (using α = πβ/τ)