# Performance analysis for pilot-based 1-bit channel estimation with unknown quantization threshold

@article{Stein2016PerformanceAF, title={Performance analysis for pilot-based 1-bit channel estimation with unknown quantization threshold}, author={Manuel S. Stein and Shahar Bar and Josef A. Nossek and Joseph Tabrikian}, journal={2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, year={2016}, pages={4353-4357} }

Parameter estimation using quantized observations is of importance in many practical applications. Under a symmetric 1-bit setup, consisting of a zero-threshold hard-limiter, it is well known that the large sample performance loss for low signal-to-noise ratios (SNRs) is moderate (2/Π or -1.96dB). This makes low-complexity analog-to-digital converters (ADCs) with 1-bit resolution a promising solution for future wireless communications and signal processing devices. However, hardware…

## 7 Citations

### 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.

### One-Bit Quantization Design and Channel Estimation for Massive MIMO Systems

- Computer ScienceIEEE Transactions on Vehicular Technology
- 2018

Simulation results show that the proposed adaptive and random quantization schemes presents a significant performance improvement over the conventional fixed quantization scheme that uses a fixed (typically zero) threshold.

### 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).

### Generalized Bussgang LMMSE Channel Estimation for One-Bit Massive MIMO Systems

- Computer Science, BusinessIEEE Transactions on Wireless Communications
- 2020

This paper first extends the conventional Bussgang linear minimum mean square error estimator to the general nonzero threshold case, and then studies the problem of one-bit quantization design, aiming at minimizing the mean squared error of the generalized BLMMSE estimator.

### On Lower Bounds for Nonstandard Deterministic Estimation

- Computer Science, MathematicsIEEE Transactions on Signal Processing
- 2017

The general approach introduced is exemplified, among other things, with a new look at the well-known Gaussian complex observation models and an analysis of the relative performance of the NSMLEs, as well as a comparison with the MLBs for a large class of estimation problems.

### Lower bounds for non standard deterministic estimation

- Computer Science, Mathematics2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM)
- 2016

This paper proposes an embedding mechanism that allows to transpose all the known lowers bounds into modified lower bounds fitted with non-standard deterministic estimation, encompassing the modified Cramér-Rao/Bhattacharyya bounds and hybrid lower bounds.

### Performance Analysis for Channel Estimation With 1-Bit ADC and Unknown Quantization Threshold

- Computer ScienceIEEE Transactions on Signal Processing
- 2018

The accuracy that can be obtained with received data processed by a hard-limiter with unknown quantization level is studied by using asymptotically optimal channel estimation algorithms by employing analytic error expressions for different setups while modeling the offset as a nuisance parameter.

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