# Joint Transmit and Receive Filter Optimization for Sub-Nyquist Delay-Doppler Estimation

@article{Lenz2017JointTA, title={Joint Transmit and Receive Filter Optimization for Sub-Nyquist Delay-Doppler Estimation}, author={Andreas Lenz and Manuel S. Stein and A. L. Swindlehurst}, journal={IEEE Transactions on Signal Processing}, year={2017}, volume={66}, pages={2542-2556} }

In this paper, a framework is presented for the joint optimization of the analog transmit and receive filter with respect to a parameter estimation problem. At the receiver, conventional signal processing systems restrict the two-sided bandwidth of the analog prefilter <inline-formula><tex-math notation="LaTeX">$B$</tex-math></inline-formula> to the rate of the analog-to-digital converter <inline-formula><tex-math notation="LaTeX">$f_s$</tex-math> </inline-formula> to comply with the well-known…

## 5 Citations

### On the delay-Doppler tracking error for sub-nyquist satellite-based synchronization

- Computer Science2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
- 2017

This work discusses the effect of sub-Nyquist sampling (2B > fs) onto the delay-Doppler estimation performance when, in addition to the observation model, knowledge about the temporal evolution of the parameters is available through a state-space model and employs a Bayesian performance bound for the parameter tracking error.

### Low Power Pilot Aided Sub-sample Based Channel Estimation for Mmwave Cellular Systems

- Computer Science, BusinessICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2019

This work utilizes the subsequence properties of Zadoff Chu sequences and presents a training based channel estimation algorithm that can operate at a fraction of the symbol rate and thus save power and provides a framework for tradeoff between channel estimation performance and computational complexity.

### Designing the Waveform Bandwidth and Time Duration of Automotive Radars for Better Collision Warning Performance

- Computer Science
- 2020

### Closed-Form Estimator for Frequency Estimation of Complex Sinusoidal Signals in Multiplicative and Additive Noise

- EngineeringCircuits Syst. Signal Process.
- 2020

This frequency estimation method is a closed-form algorithm which can directly estimate the frequency without peak searching and is close to Cramer–Rao bound.

### Closed-Form Estimator for Frequency Estimation of Complex Sinusoidal Signals in Multiplicative and Additive Noise

- EngineeringCircuits, Systems, and Signal Processing
- 2020

In this paper, a new method is proposed for estimating the frequency of a complex sinusoidal signal in multiplicative and additive noise. The proposed method is based on the linear prediction…

## References

SHOWING 1-10 OF 57 REFERENCES

### Analog transmit signal optimization for undersampled delay-Doppler estimation

- Computer Science2017 25th European Signal Processing Conference (EUSIPCO)
- 2017

The presented approach enables one to explore the Pareto region spanned by the optimized analog waveforms and demonstrates how the framework can be used to reduce the sampling rate at the receiver while maintaining high estimation accuracy.

### Information-Theoretic Compressive Sensing Kernel Optimization and Bayesian Cramér–Rao Bound for Time Delay Estimation

- Computer ScienceIEEE Transactions on Signal Processing
- 2017

An information-theoretic approach is used to optimize CS kernels for time delay estimation and results demonstrate that the proposed technique for sensing kernel optimization can significantly improve performance, which is consistent with the Bayesian CRB versus signal-to-noise ratio (SNR).

### Optimum analog receive filters for detection and inference under a sampling rate constraint

- Computer Science2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2014

This work investigates the impact of adjusting the receive bandwidth B<sub>r</sub> of the analog pre-filter, which is applied prior to the sampler, with respect to the deflection coefficient or the Fisher information measure.

### Sub-Nyquist radar prototype: Hardware and algorithm

- Computer ScienceIEEE Transactions on Aerospace and Electronic Systems
- 2014

This work presents for the first time a design and implementation of an Xampling-based hardware prototype that allows sampling of radar signals at rates much lower than Nyquist, and demonstrates by real-time analog experiments that the system is able to maintain reasonable recovery capabilities, while sampling radar signals that require sampling at a rate of about 30 MHz at a total rate of 1 MHz.

### The generalized correlation method for estimation of time delay

- Engineering
- 1976

A maximum likelihood (ML) estimator is developed for determining time delay between signals received at two spatially separated sensors in the presence of uncorrelated noise. This ML estimator can be…

### Optimal waveform design for cognitive radar

- Computer Science2008 42nd Asilomar Conference on Signals, Systems and Computers
- 2008

The waveform design problem can be formulated as a convex optimization problem in the autocorrelation of the waveform, and a customized interior point method for efficiently obtaining a globally optimal waveform is developed.

### Theory and application of optimum transmit-receive radar

- Computer ScienceRecord of the IEEE 2000 International Radar Conference [Cat. No. 00CH37037]
- 2000

In this paper rigorous theoretical performance bounds are constructively established for the joint transmitter-target-channel-receiver optimization problem in the presence of additive colored noise (ACN), (e.g., interference multipath).

### Optimal Adaptive Waveform Design for Cognitive MIMO Radar

- Computer ScienceIEEE Transactions on Signal Processing
- 2013

The simulations show that the proposed adaptive waveform design methods achieve significantly higher rate of performance improvement as a function of the pulse index, compared to other signal transmission methods, in terms of estimation accuracy.

### Signal Processing for Passive Radar Using OFDM Waveforms

- Computer ScienceIEEE Journal of Selected Topics in Signal Processing
- 2010

This paper derives the exact matched filter formulation for passive radar using OFDM waveforms, and shows that the current approach using Fourier analysis across block channel estimates is equivalent to the matched filter, based on a piecewise constant assumption on the Doppler-induced phase rotation in the time domain.

### Signal parameter estimation performance under a sampling rate constraint

- Computer Science2015 49th Asilomar Conference on Signals, Systems and Computers
- 2015

This work forms the problem of finding the best unconstrained analog receive filter with respect to the asymptotic estimation performance on the basis of the Fisher information and shows examples of optimized ideal filters and compares their estimation performance with classical low-pass filters.