Time Difference of Arrival Estimation of Speech Source in a Noisy ...

EE049035 – Spring 2007
ATF-s Ratio for TDOA Extraction
Denote the Acoustic Transfer Functions (ATF-s):
m
−jwn0 −jwni
( ) = α + α , = 2,...,
0
i
m n n
i=
1
L
−jwp −jwp
1
A1( w) = βp e 0
0 + βp
e i
L
∑
A w e e m M
The ATF-s ratio (RTF):
H w
A ( w)
α −jwn
e
e w
∑
i=
1
0
m
n0
( ) = =
( );
A 0
1(
w) −jwp
βp
e 0
m m
where, at low reverberations αn ≫ α ; , 0
0 n β i p ≫ β 0 p i ≠
i :
e ( w) ≈ 1
m
The peak of the corresponding hm( t)
can be used to
determining the TDOA.
i
15