Authors:
Piet Vandaele, K. Mercierlaan 94, 3001 Heverlee, Belgium (Belgium)
Marc Moonen, K. Mercierlaan 94, 3001 Heverlee, Belgium (Belgium)
Page (NA) Paper number 1373
Abstract:
In this paper, the blind channel identification problem is formulated
in a stochastic state space framework. Starting from a state space
model we present a preprocessing step based on two orthogonal subspace
projections. Using these orthogonal projections, we derive an algorithm
for blind channel estimation which is insensitive to the spatial color
of the noise. The performance of this new algorithm is demonstrated
through simulation examples.
Authors:
Xiang-yang Zhuang,
A. Lee Swindlehurst,
Page (NA) Paper number 1478
Abstract:
We propose two batch versions of the constant modulus algorithm in
which a fixed block of samples is iteratively re-used. The convergence
rate of the algorithms is shown to be very fast. The delay to which
the algorithms converge can be determined if the peak position of the
initialized global channel/equalizer response is known. These fixed
window CM algorithms are data efficient, computationally inexpensive
and no step-size tuning is required. The effect of noise and the relationship
between the converging delay and noise enhancement are analyzed as
well.
Authors:
Sergio Barbarossa,
Anna Scaglione,
Page (NA) Paper number 1927
Abstract:
Linear time-varying (LTV) channels are often encountered in mobile
communications but, as opposed to the linear time-invariant (LTI) channels
case, there is no a well established theory for computing the channel
capacity, or providing simple bounds to the maximum information rate
based only on the channel impulse response, or predicting the structure
of the channel eigenfunctions. In this paper, we provide: i) a method
for computing the mutual information between blocks of transmitted
and received sequences, for any finite block length; ii) the optimal
precoding (decoding) strategy to achieve the maximum information rate;
iii) an upper bound for the channel capacity based only on the channel
time-varying transfer function; iv) a time-frequency representation
of the channel eigenfunctions, revealing a rather intriguing, but nonetheless
intuitively justifiable, bubble structure.
Authors:
Alexei Y Gorokhov,
Page (NA) Paper number 2077
Abstract:
Maximum-likelihood sequence estimation is often used to recover digital
signals transmitted over finite memory convolutive channels when an
estimate of the channel is available. In this letter, we study the
impact of channel estimation errors on the quality of sequence detection.
The general case of single input multiple output (SIMO) channels is
considered. An asymptotic upper bound for the symbol error rate is
presented which allows to treat channel estimation errors as equivalent
losses in signal-to-noise ratio (SNR). This relationship is studied
and numerically validated for the standard least squares channel estimate
and for the semi-blind estimator which makes use of the empirical subspace
of the observed data.
Authors:
Erchin Serpedin,
Antoine Chevreuil, Universite de Marne-la-Valle, UF SPI 2, Rue de la Butte Verte, 93166 Noisy-le-Grand, France (France)
Georgios B Giannakis,
Philippe Loubaton, Universite de Marne-la-Valle, UF SPI 2, Rue de la Butte Verte, 93166 Noisy-le-Grand, France (France)
Page (NA) Paper number 2138
Abstract:
Recent results have shown that blind channel estimators, which are
robust to the location of channel zeros and channel order overestimation
errors, can be derived for communication channels equipped with Transmitted
Induced Cyclostationarity (TIC) precoders. This paper addresses the
problem of joint estimation of the unknown InterSymbol Interference
(ISI) and carrier frequency offset using TIC-based set-ups. First,
it is shown that the second-order cyclic statistics of the output allow
recovery of the channel taps under a scaling factor ambiguity dependent
on the unknown carrier offset frequency. Next, a carrier frequency
estimator is proposed, and its asymptotic (large sample) performance
is analyzed. It is shown that the asymptotic performance of the frequency
estimator improves in the presence of a channel equalizer for high
SNR's. Finally, numerical simulations are presented to colloborate
the performance of proposed algorithms.
Authors:
Xiaohua Li,
H. Howard Fan,
Page (NA) Paper number 2078
Abstract:
Most eigenstructure-based blind channel identification and equalization
algorithms with second-order statistics need SVD or EVD of the correlation
matrix of the output signal. In this paper, we show new algorithms
based on QR factorization of the output data directly. A recursive
algorithm is developed by updating a rank-revealing ULV decomposition.
Compared with existing algorithms in the same category, our algorithm
is computationally more efficient and numerically (potentially) more
robust. The computation in each recursion of the recursive algorithm
can be reduced to the order of O(m^2) under some simplifications, where
m is the dimension of the received signal vector. Numerical simulations
demonstrate the performance of the proposed algorithm.
Authors:
Mamadou Mboup,
Phillip A Regalia,
Page (NA) Paper number 2153
Abstract:
This paper reviews the Super-exponential algorithm proposed by Shalvi
and Weinstein for blind channel equalization. We show that the algorithm
coincides with a gradient search of a maximum of a cost function, which
belongs to a family of functions very relevant in blind channel equalization.
This family traces back to Donoho's work on minimum entropy deconvolution,
and also underlies the Godard (or Constant Modulus) and the Shalvi-Weinstein
algorithms. Using this gradient search interpretation, we give a simple
proof of convergence for the Super-exponential algorithm. Finally,
we show that the gradient step-size choice giving rise to the super-exponential
algorithm is optimal.
Authors:
Mark A Haun,
Douglas L Jones,
Page (NA) Paper number 2348
Abstract:
The vector constant modulus algorithm (VCMA) was recently introduced
as an extension of CMA which can equalize data from shaped sources
having nearly Gaussian marginal distributions. Some simple changes
in the structure of VCMA allow it to be used in fractionally-spaced
equalizers with their attendant benefits. Althoughj developed with
shell mapping in mind, VCMA can also equalize data from other shaping
methods such as trellis shaping. Furthermore, the vector modulus concept
from VCMA can be successfully applied to other algorithms based on
constant modulus criteria, including RCA and MMA. Simulations have
verified all of these results.
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