|  |  Simplified Kalman Estimation of 
Fading Mobile Radio Channels: High Performance at LMS Computational Loads
 Lars Lindbom
 
 IEEE International Conference on Acoustics,
Speech and Signal Processing,Minneapolis, MN, vol III, pp 352-355, April 27-30, 1993.
© 1993 IEEE.
 
Paper In Pdf.  
 
 
  Outline: 
Parameters of time-varying systems are often estimated
by adaptive algorithms with sliding time-windows, which 
discount old data.
We may then face a dilemma: the use of a short data window
(or, equivalently, a large adaptation gain) results in noisy estimates.
With a long data window (small gain), time varying parameters
are tracked with a considerable delay.
To improve the accuracy,  the present paper suggests
a low-complexity algorithm which takes
a priori information about the
properties of the time-variations  into account,
in the form of stochastic models.
 Abstract: 
Low complexity algorithms for channel estimation in
Rayleigh fading environments are presented.
The channel estimators are presumed to operate in
conjunction with a Viterbi detector, or an equalizer.
The algorithms are based on simplified internal
modelling of time-variant channel coefficients and
approximation of a Kalman estimator.
A novel averaging approach is used to replace the on-line
update of the Riccati equation with a constant matrix.
The associated Kalman gain is expressed in an
analytical form.
Compared to RLS tracking, both a significantly lower bit
error rate and a much lower computational complexity
is attained.
  Related publications: 
 
 Sinusoid modelling  
of time-varying channel coefficients in IS-136  systems. 
 
A series of four papers outlining the later development of a
complete design methodology, based on stochastic models
of time-varying parameters:
 
 
Design 
of general constant-gain adaptation algorithms.
Part II: Analysis 
of stability and performance, for slow and fast variations.
The Wiener LMS 
adaptation algorithm, a special case with low complexity.
A Case Study on IS-136 1900MHz channels. 
 PhD Thesis  
by L. Lindbom 1995, presenting the general design 
methodology. 
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