1
0
0.75
0.5
0.25
Source
Microphones
Equation Chapter 1 Section 1Tim
e Delay Estimation – Angle of
Arrival
Overview
Here, we introduce you to a simpler problem of determining the direction in which a distant
speaker lies from three signals received by three
distinct
microphones. For this section we
assume that only the directpath signal components reach each microphone, i.e., there are
no reflected components. Remember as you work on this project that there are many ways
of approaching the problems. The purpose of the project is to let you try out some of the
ideas you have learned so far and explore their use in solving (somewhat) practical
problems.
We denote the directpath component emitted by the source as . The signal component
emitted by the source travels a distance
from the source to microphone , and is received at
microphone
as
where
\ * MERGEFORMAT ()
Equation models the attenuation and delay of the signal component as a function of the
distance and path traversed by the signal component.
The parameters of the equation are , and . The distance
is measured in the units of the
room of Figure 1, and
t
is measured in seconds.
V
is the speed of the waveform in terms of
room units per second.
Ch. 10 s2000a
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 Fall '05
 HEMAMI
 Digital Signal Processing, Signal Processing, Sample rate conversion, angle estimation, m icrophone

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