Fast maximum likelihood estimation of signal parameters using the shape of the compressed likelihood function

Range Bias Modeling for Hyperbolic-Frequency-Modulated Waveforms in Target Tracking

“…In this paper, we are interested in the hyperbolic-frequencymodulated (HFM) waveform [4]- [12], which is maximally insensitive to a constant range rate and has consequently been employed in radar [8] and sonar [4]- [7] for moving targets. The HFM waveforms, where their frequency span is 4-6 kHz, pulse width is 25 ms, and waveform propagation speed is 1500 m/s.…”

Range bias modeling for hyperbolic frequency modulated waveforms in target tracking

“…Suppose that the initial range of the target is 0 , and hence the collected wideband reflection is written as [4]- [7] ( , ) = √ (…”

“…1(b). In either case this tilt implies a matched filter peak that for a moving target becomes displaced from the true range: this is a bias and is sometimes denoted range-Doppler coupling [2]- [7]. In brief, the range bias directly relates to the AF ridge, which is determined by waveform parameters including pulse width, frequency support, propagation speed, and modulation [1]- [4].…”

“…HFM waveforms have been used in reverberation suppression [12], target phase extraction [5], and Doppler estimation [6] [7]; this paper dedicates itself to target tracking. Sonar tracking has been investigated in [18] and [19], where a measurement is straightforwardly modeled as the true range plus a zero-mean white Gaussian noise.…”

“…In this paper, we are interested in the hyperbolic frequency modulated (HFM) waveform [4]- [12], which is maximally insensitive to a constant range-rate and has consequently been employed in radar [8] and sonar [4]- [7] for moving targets.…”