# DOA Parameter Estimation with 1-bit Quantization Bounds, Methods and the Exponential Replacement

@inproceedings{Stein2016DOAPE, title={DOA Parameter Estimation with 1-bit Quantization Bounds, Methods and the Exponential Replacement}, author={Manuel S. Stein and Kurt Barb{\'e} and Josef A. Nossek}, booktitle={WSA}, year={2016} }

While 1-bit analog-to-digital conversion (ADC) allows to significantly reduce the analog complexity of wireless receive systems, using the exact likelihood function of the hard-limiting system model in order to obtain efficient algorithms in the digital domain can make 1-bit signal processing challenging. [] Key Method For 1-bit signal processing, this allows to circumvent calculation of the general orthant probability and gives access to a conservative approximation of the receive likelihood. For the…

## 39 Citations

### On Direction of Arrival Estimation with 1-bit Quantizer

- Computer Science2019 IEEE Radar Conference (RadarConf)
- 2019

This paper derives the ML optimal DOA estimator for the 1-bit ADC and proposes suboptimal, yet, effective estimator to reduce the complexity of the ML estimator.

### Bounds on Phase, Frequency, and Timing Synchronization in Fully Digital Receivers With 1-bit Quantization and Oversampling

- Computer ScienceIEEE Transactions on Communications
- 2020

It is shown that with uniform phase and sample dithering, all large sample properties of the CRLB of the unquantized receiver are preserved under 1-bit quantization, except for an signal-to-noise ratio (SNR) dependent performance loss that can be decreased by oversampling.

### Wireless Channel Estimation with Low-Complexity 1-bit ADC and Unknown Quantization Threshold

- Computer ScienceArXiv
- 2017

The estimation accuracy which can be obtained with receive data preprocessed by a hard-limiter with unknown quantization level is studied and the necessary condition for a vanishing loss due to missing offset knowledge at a receiver with $1-bit ADC is established.

### Performance analysis for time-of-arrival estimation with oversampled low-complexity 1-bit a/d conversion

- Computer Science2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2017

It is shown that for time-of-arrival (TOA) estimation under any SNR level it is possible to obtain a low-complexity 1-bit receive system which features a smaller performance degradation then the classical low SNR hard-limiting loss of 2/π (−1.96 dB).

### Dominant Channel Estimation via MIPS for Large-Scale Antenna Systems with One-Bit ADCs

- Computer Science2018 IEEE Global Communications Conference (GLOBECOM)
- 2018

A channel estimator is proposed for one-bit ADCs where the channels are characterized by their angular geometries, e.g., uniform linear arrays (ULAs), to estimate the dominant channel among multiple paths.

### Asymptotic Signal Detection Rates with 1-Bit Array Measurements

- Computer Science2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2018

This work considers detecting the presence of a band-limited random radio source using an antenna array featuring a low-complexity digitization process with single-bit output resolution and considers the Neyman-Pearson test within generic exponential families and derive the associated analytic detection rate expressions.

### On the Performance of One-Bit DoA Estimation via Sparse Linear Arrays

- Computer Science, EngineeringIEEE Transactions on Signal Processing
- 2021

A new algorithm for estimating DoAs from one-bit quantized data is proposed that outperforms the existing algorithms in the literature and is investigated through deriving a closed-form expression for the covariance matrix of the asymptotic distribution of the DoA estimation errors.

### Fisher Information Lower Bounds with Applications in Hardware-Aware Nonlinear Signal Processing

- Computer Science
- 2015

The conservative estimation performance characterized by the pessimistic Fisher information matrix is asymptotically achieved by a consistent estimator operating on compressed data and a reformulation of the estimation algorithm turns out to be reminiscent of Hansen's generalized method of moments while the pessimistic fisher information matrix shows a vivid interpretation within a particular Gaussian modeling framework.

### One-bit sparse array DOA estimation

- Computer Science2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
- 2017

It is shown that sparse arrays such as nested and coprime arrays are more robust to the deleterious effects of one-bit quantization, compared to uniform linear arrays (ULAs); in fact, sparse arrays with one- bit quantizers are often found to be as good as ULAs with unquantized data.

### Gridless Channel Estimation for Mixed One-Bit Antenna Array Systems

- Computer ScienceIEEE Transactions on Wireless Communications
- 2018

This research considers the channel estimation problem to fill this gap and proposes a two-step channel estimator by utilizing the different features of mixed outputs, which yields significantly lower mean square errors than the conventional maximum likelihood estimator.

## References

SHOWING 1-10 OF 19 REFERENCES

### Asymptotic Parameter Tracking Performance With Measurement Data of 1-Bit Resolution

- Computer ScienceIEEE Transactions on Signal Processing
- 2015

The analysis of a Bayesian bound for the achievable tracking performance shows that the performance loss due to observations with low amplitude resolution can, in practice, be much less pronounced than indicated by classical results.

### DOA estimation using one-bit quantized measurements

- Engineering
- 2002

The effects 1-bit quantization of the input samples has on the direction-of-arrival (DOA) estimation accuracy are considered. The signal model assumes a single stochastic Gaussian point source that…

### Overdemodulation for High-Performance Receivers with Low-Resolution ADC

- Computer ScienceIEEE Wireless Communications Letters
- 2015

The design of the analog demodulator for receivers with low-resolution analog-to-digital converters (ADCs) is investigated and it is shown that this classical approach is suboptimal under an estimation and information theoretic perspective.

### One-bit massive MIMO: Channel estimation and high-order modulations

- Computer Science2015 IEEE International Conference on Communication Workshop (ICCW)
- 2015

It is shown that least-squares (LS) channel estimation combined with joint pilot and data processing is capacity achieving in the single-user, single-receive-antenna case and LS channel estimation and maximum-ratio combining are sufficient to support both multiuser operation and the use of high-order constellations.

### Massive MIMO with 1-bit ADC

- Computer ScienceArXiv
- 2014

This work investigates massive multiple-input-multiple output (MIMO) uplink systems with 1-bit analog-to-digital converters (ADCs) on each receiver antenna with good performance in terms of mutual information and symbol error rate (SER), and provides an analytical approach to calculate the Mutual information and SER of the MRC receiver.

### Information-Preserving Spatial Filtering for Direction-of-Arrival Estimation

- Computer ScienceWSA
- 2014

Simulations of the maximum a posteriori (MAP) estimator show that the accuracy predicted by theory can be attained in practice at low computational cost.

### Multivariate Signal Parameter Estimation Under Dependent Noise From 1-Bit Dithered Quantized Data

- Mathematics, Computer ScienceIEEE Transactions on Information Theory
- 2008

Motivated by applications in sensor networks and communications, multivariate signal parameter estimation when only dithered 1-bit quantized samples are available is considered and an estimate of the signal parameters is proposed and is shown to be weakly consistent.

### Effects of sampling and quantization on single-tone frequency estimation

- EngineeringIEEE Trans. Signal Process.
- 2000

It is found that 1-bit quantization gives a slightly worse performance, however, with a dramatic increase of variance at certain frequencies, which can be avoided by using four times oversampling.

### Analog-to-digital converter survey and analysis

- Computer ScienceIEEE J. Sel. Areas Commun.
- 1999

The state-of-the-art of ADCs is surveyed, including experimental converters and commercially available parts, and the distribution of resolution versus sampling rate provides insight into ADC performance limitations.

### An Introduction to Statistical Communication Theory

- Computer Science
- 1960

This IEEE Classic Reissue provides at an advanced level, a uniquely fundamental exposition of the applications of Statistical Communication Theory to a vast spectrum of important physical problems.…