Exhibit C Bandwidth Justification

0112-EX-ST-2004 Text Documents

Georgia Institute of Technology

2004-02-24ELS_64938

Exhibit C
Bandwidth Justification
Our main objective is to determine coverage and performance statistics for various
adaptive array configurations. Coverage implies that the measurement of each small area
in the building includes enough samples to completely capture the small-scale multipath
fading description. To capture these performance statistics, we collect a population of
matrix or vector channel responses, sampled over a range of frequencies, separated by 20
MHz, and sampled for small spatial displacements (on the order of a wavelength) in the
transmit and receive arrays. The 20 MHz separation in sample frequencies ensures that
the sampled channel gains are statistically uncorrelated, which is necessary for a good
statistical characterization. Our channel sounding system has a maximum bandwidth of
500 MHz, therefore we can get 25 samples in the frequency domain. We get our spatial
samples by moving a single transmit antenna to N points in space and similarly by
moving the receive antenna to M points in space. For example, if we are modeling a 4-
element uniform linear transmitter array, and we sample a 5X4 rectangle of 20 sample
points, then we have 8 samples of the 4X1 array. If we take 4 samples in space at the
receiver to model a single-antenna receiver, then we will have a total of 8X4X25=800
uncorrelated flat-fading vector channel responses for the 4X1 multiple-input-single-
output (MISO) link. 800 is barely an adequate sample size to get a probability
distribution function (PDF) of the channel performance statistic. We cannot expand the
number of spatial samples much because the channel would not be static long enough to
take the measurement. Therefore, the frequency samples are extremely important to us,
to create a large enough sample size.



Document Created: 2004-02-24 14:40:25
Document Modified: 2004-02-24 14:40:25

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