SLOPE: A monotonic algorithm to design sequences with good autocorrelation properties by minimizing the peak sidelobe level

Jyothi, R.; Babu, Prabhu; Alaee-Kerahroodi, Mohammad

doi:10.1016/j.dsp.2021.103142

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…Indeed, because frequency is the derivative of phase, in order to have linear frequency properties like FMCW, the phase variation of PMCW sequences should be quadratic throughout the length of the sequence, as shown in Figure 1 for Frank, Golomb, and P1 sequences of length N = 16. Interestingly, chirplike polyphase sequences are known to typically have small PSL and ISL values 2 , the metrics which are strictly connected to the sharpness of the code autocorrelation function [25]- [33].…”

Section: A Doppler-tolerant Waveformsmentioning

confidence: 99%

Designing Interference-Immune Doppler-TolerantWaveforms for Automotive Radar Applications

Amar¹,

Alaee-Kerahroodi²,

Babu³

et al. 2022

Preprint

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Dynamic target detection using FMCW waveform is challenging in the presence of interference for different radar applications. Degradation in SNR is irreparable and interference is difficult to mitigate in time and frequency domain. In this paper, a waveform design problem is addressed using the Majorization-Minimization (MM) framework by considering PSL/ISL cost functions, resulting in a code sequence with Doppler-tolerance characteristics of an FMCW waveform and interference immune characteristics of a tailored PMCW waveform (unique phase code + minimal ISL/PSL). The optimal design sequences possess polynomial phase behavior of degree Q amongst its sub-sequences and obtain optimal ISL and PSL solutions with guaranteed convergence. By tuning the optimization parameters such as degree Q of the polynomial phase behavior, sub-sequence length M and the total number of sub-sequences L, the optimized sequences can be as Doppler tolerant as FMCW waveform in one end, and they can possess small cross-correlation values similar to random-phase sequences in PMCW waveform on the other end. If required in the event of acute interference, new codes can be generated in the runtime which have low cross-correlation with the interferers. The performance analysis indicates that the proposed method outperforms the state-of-the-art counterparts.

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Section: A Doppler-tolerant Waveformsmentioning

confidence: 99%