Page 267 - Fundamentals of Radar Signal Processing

FIGURE 4.24 Magnitude spectrum of an LFM waveform: (a) βτ = 10, (b) βτ =
100.

Figure 4.25 shows the output of the matched filter for the same two chirp
waveforms. The dotted line superimposed on the output waveform is the output

of a matched filter for a simple pulse of the same duration. As always, the total
duration of the matched filter output is 2τ seconds. In both cases, the LFM
waveform results in a matched filter output with a Rayleigh resolution much
narrower than τ. In fact, the Rayleigh resolution is very nearly 1/β in each case
(this will be confirmed shortly), an improvement over the simple pulse by a
factor of the time-bandwidth product βτ.