Page 268 - Fundamentals of Radar Signal Processing
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FIGURE 4.25 Output of matched filter for an LFM waveform: (a) βτ = 10, (b)
βτ = 100. The dotted line is the output of a matched filter for a simple pulse of
the same duration.
Simple and LFM pulses of the same amplitude and duration will have the
same peak power at the matched filter output and achieve the same output SNR
in accordance with Eq. (4.13). However, for an LFM pulse and a simple pulse
of the same amplitude to have the same fast-time Rayleigh resolution at the
output of their matched filters, the simple pulse must be shorter than the LFM
pulse by the factor βτ. The energy in the simple pulse and the SNR achieved are
then also less by the factor of βτ. In other words, the LFM waveform with