📄 ee359 final projectchannel estimation in a mimo-ofdm system.htm
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<H1 style="TEXT-ALIGN: center" align=center>Comparison of different channel
estimation techniques for MIMO-OFDM systems</H1>
<H4 style="TEXT-ALIGN: center" align=center>final project for <A
href="http://www.stanford.edu/class/ee359">EE359</A></H4>
<H5 style="TEXT-ALIGN: center" align=center>Shahriyar Matloub <A
href="mailto:smatloub@stanford.edu">smatloub@stanford.edu</A></H5>
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<H3>Proposal</H3>
<P class=MsoNormal>Theoretical results show that the Multiple input multiple
output (MIMO) systems potentially can achieve very high capacities [1]. When
coupled with the Orthogonal Frequency Division Multiplexing (OFDM) to mitigate
intersymbol interference, the MIMO-OFDM seems to be an effective solution for
the increasing user demand of high data rate for applications on a wireless
platform. <BR> One of the important issues of the MIMO-OFDM systems is the
estimation of the channel. The computational complexity increases rapidly by
increasing the number of antennas at the transmitter and the receiver, and the
performance substantially degrades with estimation error [2]. The several
channel estimation techniques that have been proposed try to improve the
estimation and reduce the computational complexity by exploiting certain
characteristics of the channel model [2], [3], [4], [5]. </P>
<P> The goal of this project is to present the algorithms proposed in [4]
and [5] and compare their performance and computational complexity. This
comparison will be based on the results of a computer simulation. </P>
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<H3>Final Report</H3>
<P class=MsoNormal>As it is mentioned in the proposal, the goal of this project
is to develop the algorithms proposed in [4] and [5] and compare their
performance and computational complexity. This comparison will be based on the
results of a computer simulation. </P>
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<H4>Channel Estimation for a SISO-OFDM system</H4>
<P class=MsoNormal>The channel estimation in a SISO-OFDM system can be performed
by either sending an OFDM symbol with pilot tones in all subcarriers in every
certain number of symbols, or by inserting pilot tones in some of the
subcarriers of each symbol.<SPAN style="mso-spacerun: yes"> </SPAN>In the
first method, receiver estimates the channel in all subcarriers whenever it
receives a pilot symbol, and uses this channel estimation to detect following
data symbols.<SPAN style="mso-spacerun: yes"> </SPAN>Obviously this method
performs poorly whenever the time variations of the channel are comparable to
the symbol time.<SPAN style="mso-spacerun: yes"> </SPAN></P>
<P class=MsoNormal>In the second method, receiver estimates the channel in those
subcarriers with pilot tones, and then estimates the channel in all subcarriers
by interpolation.<SPAN style="mso-spacerun: yes"> </SPAN>This method is
more robust to the time variations of the channel.<SPAN
style="mso-spacerun: yes"> </SPAN>This method is also known as comb-type
pilot arrangement.<SPAN style="mso-spacerun: yes"> </SPAN>For the
estimation of the channel at pilot frequencies, it is possible to use Least
Square (LS), or Minimum Mean Square Error (MMSE) estimation.<SPAN
style="mso-spacerun: yes"> </SPAN>Also for the interpolation of the
channel in other frequencies, linear interpolation, and low-pass interpolation
are the most common techniques.</P>
<P class=MsoNormal>Figure 1 shows the normalized error of channel estimation for
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