Radar/sonar acceleration estimation with linear-period modulatedwaveforms

Doppler and acceleration tolerance of wideband LPM/HFM (linear period-modulated, hyperbolic frequency-modulated) and linear frequency-modulated (FM) signals are compared. A bank of filters matched to frequency-shifted versions of a wideband LPM/HFM transmission system yields a joint maximum likelihood estimate of range and acceleration and avoids acceleration-induced degradation in detection performance. Analytical and neurophysiological results suggest that such processing can be used in bat echolocation for detection and classification of insect wing motion since wideband LFM waveforms are much less Doppler-tolerant than HFM waveforms but have greater acceleration tolerance