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Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold

Abstract: 

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/pi 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 imperfections and external effects introduce the quantizer with an unknown hard-limiting level different from zero. In this paper, the performance loss associated with pilot-based channel estimation, subject to an asymmetric hard limiter with unknown offset, is studied under two setups. The analysis is carried out via the Cramer-Rao lower bound (CRLB) and an expected CRLB for a setup with random parameter. Our findings show that the unknown threshold leads to an additional information loss, which vanishes for low SNR values or when the offset is close to zero.

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Paper Details

Authors:
Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian
Submitted On:
10 April 2016 - 12:38am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Manuel Stein, Shahar Bar
Document Year:
2016
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Document Files

poster_ICASSP2016_BGU(1).pdf

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[1] Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian, "Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/1088. Accessed: May. 24, 2017.
@article{1088-16,
url = {http://sigport.org/1088},
author = {Manuel Stein; Shahar Bar; Josef A. Nossek; Joseph Tabrikian },
publisher = {IEEE SigPort},
title = {Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold},
year = {2016} }
TY - EJOUR
T1 - Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold
AU - Manuel Stein; Shahar Bar; Josef A. Nossek; Joseph Tabrikian
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/1088
ER -
Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian. (2016). Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold. IEEE SigPort. http://sigport.org/1088
Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian, 2016. Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold. Available at: http://sigport.org/1088.
Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian. (2016). "Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold." Web.
1. Manuel Stein, Shahar Bar, Josef A. Nossek, Joseph Tabrikian. Performance Analysis for Pilot-based 1-bit Channel Estimation with Unknown Quantization Threshold [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/1088