Modified Cramer-Rao Bounds for Parameter Estimation of Hybrid Modulated Signal Combining PRBC and LFM

Wang, Pei; Du, Dongdong; Qiu, Zhaoyang; Tang, Bin

doi:10.1109/cse.2014.204

Cited by 6 publications

(1 citation statement)

References 11 publications

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“…[36] addresses the CRB and the MCRB for the joint estimation of the carrier frequency offset, the carrier phase and the noise and signal powers of binary phase-shift keying (BPSK), minimum shift keying (MSK), and quaternary phase-shift keying (QPSK) modulated signals corrupted by additive white circular Gaussian noise. [40] focuses on the MCRBs related to estimating the parameters of a noisy hybrid modulated signal which combines the pseudo-random binary codes (PRBC) phase modulation and linear frequency modulation (LFM). The parameters to be estimated of the PRBC-LFM signal include signal amplitude, carrier phase, carrier frequency, chirp rate and symbol width.…”

Section: ) Application Examples In Telecommentioning

confidence: 99%

On Lower Bounds for Nonstandard Deterministic Estimation

Kbayer¹,

Galy

Chaumette

et al. 2017

IEEE Trans. Signal Process.

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We consider deterministic parameter estimation and the situation where the probability density function (p.d.f.) parameterized by unknown deterministic parameters results from the marginalization of a joint p.d.f. depending on random variables as well. Unfortunately, in the general case, this marginalization is mathematically intractable, which prevents from using the known standard deterministic lower bounds (LBs) on the mean-squared-error (MSE). Actually the general case can be tackled by embedding the initial observation space in an hybrid one where any standard LB can be transformed into a modified one fitted to non-standard deterministic estimation, at the expense of tightness however. Furthermore, these modified LBs (MLBs) appears to include the sub-matrix of hybrid lower bounds which is a LB for the deterministic parameters. Moreover, since in non-standard estimation, maximum likelihood estimators (MLEs) can be no longer derived, suboptimal non-standard MLEs (NSMLEs) are proposed as being a substitute. We show that any standard LB on the MSE of MLEs has a non-standard version lower bounding the MSE of NSMLEs. We provide an analysis of the relative performance of the NSMLEs, as well as a comparison with the modified LBs for a large class of estimation problems. Last, the general approach introduced is exemplified, among other things, with a new look at the well known Gaussian complex observation models.

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Section: ) Application Examples In Telecommentioning

confidence: 99%

On Lower Bounds for Nonstandard Deterministic Estimation

Kbayer¹,

Galy

Chaumette

et al. 2017

IEEE Trans. Signal Process.

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A target echo simulation method for wideband LFM-PRPC signals based on segmentation processing

Chen

Pan

Tao

2022

Remote Sensing Letters

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Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR*

Wang¹,

Yan²,

Li³

et al. 2021

Chinese Phys. B

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Conventional parameter estimation methods for pseudo-random binary code-linear frequency modulation (PRBC-LFM) signals require prior knowledge, are computationally complex, and exhibit poor performance at low signal-to-noise ratios (SNRs). To overcome these problems, a blind parameter estimation method based on a Duffing oscillator array is proposed. A new relationship formula among the state of the Duffing oscillator, the pseudo-random sequence of the PRBC-LFM signal, and the frequency difference between the PRBC-LFM signal and the periodic driving force signal of the Duffing oscillator is derived, providing the theoretical basis for blind parameter estimation. Methods based on amplitude method, short-time Fourier transform method, and power spectrum entropy method are used to binarize the output of the Duffing oscillator array, and their performance is compared. The pseudo-random sequence is estimated using Duffing oscillator array synchronization, and the carrier frequency parameters are obtained by the relational expressions and characteristics of the difference frequency. Simulation results show that this blind estimation method overcomes limitations in prior knowledge and maintains good parameter estimation performance up to an SNR of –35 dB.

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Modified Cramer-Rao Bounds for Parameter Estimation of Hybrid Modulated Signal Combining PRBC and LFM

Cited by 6 publications

References 11 publications

On Lower Bounds for Nonstandard Deterministic Estimation

On Lower Bounds for Nonstandard Deterministic Estimation

A target echo simulation method for wideband LFM-PRPC signals based on segmentation processing

Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR*

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