Journal ArticleDOI
Spectral Analysis of Fractionally-Spaced MMSE Equalizers and Stability of the LMS Algorithm
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TLDR
An analytical expression for the TF of the FS MMSE equalizer is derived, which includes the effects of the continuous-time to discrete-time (C/D) converter used at the receiver front end, and the sources of instability of theFS least-mean-square (LMS) algorithm are explained.Abstract:
In the communication systems that use a linear modulation scheme for transmission, the fractionally-spaced (FS) samples of the received signal constitute a wide-sense cyclostationary time series. Hence, the standard Fourier transform techniques cannot be used to study the spectral characteristics of the received FS samples or to derive the transfer function (TF) of the corresponding digital minimum mean-square error (MMSE) receiver. In this paper, an analytical expression for the TF of the FS MMSE equalizer is derived, which includes the effects of the continuous-time to discrete-time (C/D) converter used at the receiver front end. Using this TF, the sources of instability of the FS least-mean-square (LMS) algorithm and the effects of the equalizer length and sampling phase on convergence of the LMS algorithm are explained. For stabilization of the FS LMS algorithm, conditions on the front-end C/D converter are provided, such that, when satisfied the LMS algorithm becomes more stable and the learning characteristics of the modified receiver are better than the leaky-FS LMS algorithm. Theoretical results are corroborated by simulations.read more
Citations
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Journal ArticleDOI
Real and Complex Analysis. By W. Rudin. Pp. 412. 84s. 1966. (McGraw-Hill, New York.)
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Journal ArticleDOI
Extraction of Signals from Noise.
Journal ArticleDOI
The On-Chip D-LMS Filter Design Method of Wireless Sensor Node Based on FPGA
TL;DR: This method will provide a powerful theoretical method to solve the problem of high-precision and fast source positioning and provide technical support for the development ofhigh-speed and real-time source positioning instruments.
Proceedings ArticleDOI
Transient Performance of the Bidirectional LMS Over Quasi-Static Wireless Networks
Yavuz Yaplel,Ismail Guvenc +1 more
TL;DR: This paper considers the transient performance of the bidirectional least-mean squares (BiLMS) algorithm for unknown parameter estimation over quasi-static wireless networks, where the unknown parameter to be estimated is time-invariant.
Channel modelling and fractionally-spaced MMSE equalisers for broadband channels.
TL;DR: Channel Modelling and Fractionally-Spaced MMSE Equalisers for Broadband Channels in response to the increasing demand for high data rate communications, broadband (BB) wireless systems utilising several gigahertz of bandwidth will be used in future generations of wireless networks.
References
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Book
Adaptive Filter Theory
TL;DR: In this paper, the authors propose a recursive least square adaptive filter (RLF) based on the Kalman filter, which is used as the unifying base for RLS Filters.
Book
Real and complex analysis
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Digital communications
TL;DR: This month's guest columnist, Steve Bible, N7HPR, is completing a master’s degree in computer science at the Naval Postgraduate School in Monterey, California, and his research area closely follows his interest in amateur radio.