64,623 research outputs found
An OFDM Signal Identification Method for Wireless Communications Systems
Distinction of OFDM signals from single carrier signals is highly important
for adaptive receiver algorithms and signal identification applications. OFDM
signals exhibit Gaussian characteristics in time domain and fourth order
cumulants of Gaussian distributed signals vanish in contrary to the cumulants
of other signals. Thus fourth order cumulants can be utilized for OFDM signal
identification. In this paper, first, formulations of the estimates of the
fourth order cumulants for OFDM signals are provided. Then it is shown these
estimates are affected significantly from the wireless channel impairments,
frequency offset, phase offset and sampling mismatch. To overcome these
problems, a general chi-square constant false alarm rate Gaussianity test which
employs estimates of cumulants and their covariances is adapted to the specific
case of wireless OFDM signals. Estimation of the covariance matrix of the
fourth order cumulants are greatly simplified peculiar to the OFDM signals. A
measurement setup is developed to analyze the performance of the identification
method and for comparison purposes. A parametric measurement analysis is
provided depending on modulation order, signal to noise ratio, number of
symbols, and degree of freedom of the underlying test. The proposed method
outperforms statistical tests which are based on fixed thresholds or empirical
values, while a priori information requirement and complexity of the proposed
method are lower than the coherent identification techniques
Quantized vs. Analog Feedback for the MIMO Downlink: A Comparison between Zero-Forcing Based Achievable Rates
We consider a MIMO fading broadcast channel and compare the achievable
ergodic rates when the channel state information at the transmitter is provided
by analog noisy feedback or by quantized (digital) feedback. The superiority of
digital feedback is shown, with perfect or imperfect CSIR, whenever the number
of feedback channel uses per channel coefficient is larger than 1. Also, we
show that by proper design of the digital feedback link, errors in the feedback
have a minor effect even by using very simple uncoded modulation. Finally, we
show that analog feedback achieves a fraction 1 - 2F of the optimal
multiplexing gain even in the presence of a feedback delay, when the fading
belongs to the class of Doppler processes with normalized maximum Doppler
frequency shift 0 <= F <= 1/2.Comment: Submitted to ISIT, January 2007. 5 page
Eigenvalue Dynamics of a Central Wishart Matrix with Application to MIMO Systems
We investigate the dynamic behavior of the stationary random process defined
by a central complex Wishart (CW) matrix as it varies along a
certain dimension . We characterize the second-order joint cdf of the
largest eigenvalue, and the second-order joint cdf of the smallest eigenvalue
of this matrix. We show that both cdfs can be expressed in exact closed-form in
terms of a finite number of well-known special functions in the context of
communication theory. As a direct application, we investigate the dynamic
behavior of the parallel channels associated with multiple-input
multiple-output (MIMO) systems in the presence of Rayleigh fading. Studying the
complex random matrix that defines the MIMO channel, we characterize the
second-order joint cdf of the signal-to-noise ratio (SNR) for the best and
worst channels. We use these results to study the rate of change of MIMO
parallel channels, using different performance metrics. For a given value of
the MIMO channel correlation coefficient, we observe how the SNR associated
with the best parallel channel changes slower than the SNR of the worst
channel. This different dynamic behavior is much more appreciable when the
number of transmit () and receive () antennas is similar. However, as
is increased while keeping fixed, we see how the best and worst
channels tend to have a similar rate of change.Comment: 15 pages, 9 figures and 1 table. This work has been accepted for
publication at IEEE Trans. Inf. Theory. Copyright (c) 2014 IEEE. Personal use
of this material is permitted. However, permission to use this material for
any other purposes must be obtained from the IEEE by sending a request to
[email protected]
Detection of multiplicative noise in stationary random processes using second- and higher order statistics
This paper addresses the problem of detecting the presence of colored multiplicative noise, when the information process can be modeled as a parametric ARMA process. For the case of zero-mean multiplicative noise, a cumulant based suboptimal detector is studied. This detector tests the nullity of a specific cumulant slice. A second detector is developed when the multiplicative noise is nonzero mean. This detector consists of filtering the data by an estimated AR filter. Cumulants of the residual data are then shown to be well suited to the detection problem. Theoretical expressions for the asymptotic probability of
detection are given. Simulation-derived finite-sample ROC curves are shown for different sets of model parameters
Distortion-Rate Function of Sub-Nyquist Sampled Gaussian Sources
The amount of information lost in sub-Nyquist sampling of a continuous-time
Gaussian stationary process is quantified. We consider a combined source coding
and sub-Nyquist reconstruction problem in which the input to the encoder is a
noisy sub-Nyquist sampled version of the analog source. We first derive an
expression for the mean squared error in the reconstruction of the process from
a noisy and information rate-limited version of its samples. This expression is
a function of the sampling frequency and the average number of bits describing
each sample. It is given as the sum of two terms: Minimum mean square error in
estimating the source from its noisy but otherwise fully observed sub-Nyquist
samples, and a second term obtained by reverse waterfilling over an average of
spectral densities associated with the polyphase components of the source. We
extend this result to multi-branch uniform sampling, where the samples are
available through a set of parallel channels with a uniform sampler and a
pre-sampling filter in each branch. Further optimization to reduce distortion
is then performed over the pre-sampling filters, and an optimal set of
pre-sampling filters associated with the statistics of the input signal and the
sampling frequency is found. This results in an expression for the minimal
possible distortion achievable under any analog to digital conversion scheme
involving uniform sampling and linear filtering. These results thus unify the
Shannon-Whittaker-Kotelnikov sampling theorem and Shannon rate-distortion
theory for Gaussian sources.Comment: Accepted for publication at the IEEE transactions on information
theor
Calculation of Mutual Information for Partially Coherent Gaussian Channels with Applications to Fiber Optics
The mutual information between a complex-valued channel input and its
complex-valued output is decomposed into four parts based on polar coordinates:
an amplitude term, a phase term, and two mixed terms. Numerical results for the
additive white Gaussian noise (AWGN) channel with various inputs show that, at
high signal-to-noise ratio (SNR), the amplitude and phase terms dominate the
mixed terms. For the AWGN channel with a Gaussian input, analytical expressions
are derived for high SNR. The decomposition method is applied to partially
coherent channels and a property of such channels called "spectral loss" is
developed. Spectral loss occurs in nonlinear fiber-optic channels and it may be
one effect that needs to be taken into account to explain the behavior of the
capacity of nonlinear fiber-optic channels presented in recent studies.Comment: 30 pages, 9 figures, accepted for publication in IEEE Transactions on
Information Theor
A sum-of-sinusoids based simulation model for the joint shadowing process in urban peer-to-peer radio channels
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A Fast Blind Impulse Detector for Bernoulli-Gaussian Noise in Underspread Channel
The Bernoulli-Gaussian (BG) model is practical to characterize impulsive
noises that widely exist in various communication systems. To estimate the BG
model parameters from noise measurements, a precise impulse detection is
essential. In this paper, we propose a novel blind impulse detector, which is
proven to be fast and accurate for BG noise in underspread communication
channels.Comment: v2 to appear in IEEE ICC 2018, Kansas City, MO, USA, May 2018 Minor
erratums added in v
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