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)
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