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Nonlinear Effects in LMS Adaptive Equalizers
- IEEE Trans. Signal Processing
, 1999
"... An adaptive transversal equalizer based on the least-mean-square (LMS) algorithm, operating in an environment with a temporally correlated interference, can exhibit better steady-state mean-square-error (MSE) performance than the corresponding Wiener filter. This phenomenon is a result of the nonlin ..."
Abstract
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Cited by 12 (10 self)
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An adaptive transversal equalizer based on the least-mean-square (LMS) algorithm, operating in an environment with a temporally correlated interference, can exhibit better steady-state mean-square-error (MSE) performance than the corresponding Wiener filter. This phenomenon is a result of the nonlinear nature of the LMS algorithm and is obscured by traditional analysis approaches that utilize the independence assumption (current filter weight vector assumed to be statistically independent of the current data vector). To analyze this equalizer problem, we use a transfer function approach to develop approximate analytical expressions of the LMS MSE for sinusoidal and autoregressive interference processes. We demonstrate that the degree to which LMS may outperform the corresponding Wiener filter is dependent on system parameters such as signal-to-noise ratio (SNR), signal-to-interference ratio (SIR), equalizer length, and the step-size parameter.
ON THE DESIGN OF ROBUST MULTIBAND OFDM ULTRA-WIDEBAND RECEIVERS
"... This paper analyzes the effects of narrowband interferences (NBI) on the performance of a multi-band orthogonal frequency division multiplexing (MB-OFDM) Ultra-wideband (UWB) receiver and proposes efficient schemes for signal reception and extraction of information in the presence of NBI. A study to ..."
Abstract
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Cited by 1 (0 self)
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This paper analyzes the effects of narrowband interferences (NBI) on the performance of a multi-band orthogonal frequency division multiplexing (MB-OFDM) Ultra-wideband (UWB) receiver and proposes efficient schemes for signal reception and extraction of information in the presence of NBI. A study to assess the effects of NBI on the quantization noise in the analog to digital converter (ADC) is conducted. It is found that a reduced-complexity digital frequency excision method is sufficient to compensate weak NBI (with signal-to-interference ratio (SIR) larger than 0 dB). To combat efficiently strong NBI (with SIR less than 0 dB), this paper proposes a novel mixed interference suppression scheme that relies on the joint cooperation between a digital NBI detector and an adaptive analog notch filter. Simulation results show that the proposed mixed suppression scheme improves the performance of the digital frequency excision scheme by as much as 9 dB. 1.
Highlights of Signal Processing for Communications
, 1999
"... This paper chronicles more than 40 years of evolution in the design of such modems. ..."
Abstract
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This paper chronicles more than 40 years of evolution in the design of such modems.
Array processing for nonstationary interference suppression in DS/SS communications using subspace projection techniques
"... Combined spatial and time-frequency signatures of signal arrivals at a multi-sensor array are used for nonstationary interference suppression in direct-sequence spread-spectrum (DS/SS) communications. With random PN spreading code and deterministic nonstationary interferers, the use of antenna array ..."
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Combined spatial and time-frequency signatures of signal arrivals at a multi-sensor array are used for nonstationary interference suppression in direct-sequence spread-spectrum (DS/SS) communications. With random PN spreading code and deterministic nonstationary interferers, the use of antenna arrays offers increased DS/SS signal dimensionality relative to the interferers. Interference mitigation through spatio-temporal subspace projection technique leads to reduced DS/SS signal distortion and improved performance over the case of a single antenna receiver. The angular separation between the interference and desired signals is shown to play a fundamental role in trading off the contribution of the spatial and time-frequency signatures to the interference mitigation process. The expressions of the receiver SINR implementing subspace projections are derived and numerical results are provided.
Research Article A Two-Stage Approach for Improving the Convergence of Least-Mean-Square Adaptive Decision-Feedback Equalizers in the Presence of Severe Narrowband Interference
, 2007
"... It has previously been shown that a least-mean-square (LMS) decision-feedback filter can mitigate the effect of narrowband interference (L.-M. Li and L. Milstein, 1983). An adaptive implementation of the filter was shown to converge relatively quickly for mild interference. It is shown here, however ..."
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It has previously been shown that a least-mean-square (LMS) decision-feedback filter can mitigate the effect of narrowband interference (L.-M. Li and L. Milstein, 1983). An adaptive implementation of the filter was shown to converge relatively quickly for mild interference. It is shown here, however, that in the case of severe narrowband interference, the LMS decision-feedback equalizer (DFE) requires a very large number of training symbols for convergence, making it unsuitable for some types of communication systems. This paper investigates the introduction of an LMS prediction-error filter (PEF) as a prefilter to the equalizer and demonstrates that it reduces the convergence time of the two-stage system by as much as two orders of magnitude. It is also shown that the steady-state bit-error rate (BER) performance of the proposed system is still approximately equal to that attained in steady-state by the LMS DFE-only. Finally, it is shown that the two-stage system can be implemented without the use of training symbols. This two-stage structure lowers the complexity of the overall system by reducing the number of filter taps that need to be adapted, while incurring a slight loss in the steady-state BER. Copyright © 2008 Arun Batra et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1.
Time: 16:20 WORKING DRAFT
"... 2.1 Signal degrees of freedom (DOF)......................... 5 2.2 Completely random vectors and the isotropic principle............ 7 ..."
Abstract
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2.1 Signal degrees of freedom (DOF)......................... 5 2.2 Completely random vectors and the isotropic principle............ 7
Author manuscript, published in "IEEE VTC Spring 2007 (2007)" Reduced Complexity MUD-MLSE Receiver for Partially-Overlapping WLAN-Like Interference
, 2009
"... Abstract — The roll-out density of wireless local area networks (WLANs) has recently witnessed a dramatic increase and is currently reaching saturation levels. The frequency bands designated to WLANs do thus not suffice anymore to provide nonoverlapping, and hence interference-free, communication ba ..."
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Abstract — The roll-out density of wireless local area networks (WLANs) has recently witnessed a dramatic increase and is currently reaching saturation levels. The frequency bands designated to WLANs do thus not suffice anymore to provide nonoverlapping, and hence interference-free, communication bands. A large body of research has been dedicated to a wide variety of optimum maximum likelihood sequence estimation (MLSE) and sub-optimum in-band interference mitigation techniques. Our contribution lies in a reduction of the state-space of a MLSE detector in the case of a desired WLAN receiver experiencing delayed interference from some other transmitters operating in partially overlapping spectral bands and over independent frequency-selecting block-fading channels. Based on the formulation of the optimum receiver, we derive a sub-optimum receiver of reduced complexity and demonstrate its satisfactory performance in the context of strong interference.

