# Time- frequency- selective channel estimation of ofdm systems /

Abstract (Summary)

Time- Frequency- Selective Channel Estimation of OFDM Systems
Wei Chen
Dr. Ruifeng Zhang
Communications through frequency-selective fading channels suffer inter-symbol interference
(ISI), which limits the data rate. Complex equalizers are usually needed to compensate
for the channel distortion. Orthogonal Frequency Division Multiplexing (OFDM) divides
the channel spectrum into many sub-bands, each of which carries low-rate data. Since
each sub-channel is narrow band, communications through it experience only flat-fading.
The sub-channels are separated with the minimum space required by channel orthogonality.
Therefore, a large number of low-rate data streams can be transmitted in parallel and
aggregate to a high-rate one.
For coherent detection of the information symbols, the channel gain of each sub-carrier
is needed. This problem is further complicated by the time-varying nature of the channel
fading and the correlation between the sub-channels due to Doppler frequencies.
The contribution of this dissertation is a Kalman filter based framework of channel
equalizer for OFDM systems in a time-frequency-fading environment. The gains of the
sub-channels are defined as the state variables, and an AR process is used to model the
dynamics of the channel. Then the Kalman filter can be applied to estimate the channel
from the received OFDM signals when pilot symbols are available. This Kalman filter is
of a dimension equal to the product of the number of sub-carriers and the order of the AR
model, which can be very large. To reduce its complexity, per-subcarrier Kalman filter
scheme is proposed, that is, the Kalman filter channel estimator is applied to obtain the
gain of each sub-carrier independently, and then a minimum mean-square-error (MMSE)
combiner is used to refine the estimates. The per-subcarrier Kalman estimator explores the
x
time-domain correlation of the channel, while the MMSE combiner explores the frequencydomain
correlation. This two-step solution offers a performance comparable to the much
more complicated Kalman joint estimator.
The Kalman filter method is also extended to give a blind channel estimation algorithm
based on the mixture Kalman filter (MKF). The MKF uses Monte Carlo simulations to do
filtering. By simulating the transmitted symbol sequences according to their a posteriori
probabilities, so called importance sampling, and feeding them to the Kalman filter channel
estimator, a Bayesian estimate of the channel can be obtained through averaging the
Kalman filter output of each simulation. The MKF method applies to the joint estimation
of all sub-carriers and also works in the per-subcarrier fashion with a much reduced complexity.
In addition to the channel estimate, the MKF can directly give symbol detection.
1
Bibliographical Information:

Advisor:

School:Drexel University

School Location:USA - Pennsylvania

Source Type:Master's Thesis

Keywords:electric engineering orthogonal frequency division multiplexing selective surfaces

ISBN:

Date of Publication: