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

EE049035 – Spring 2007
Decorrelation Criterion
For low SNR we get a poor estimation of Hm( w)
from (S1)
and (S2), but a good estimation of the noise terms:
Φˆ
2 ( )
ˆ b w
m
Gm( w)
=
Φˆ
1 ( w)
Using initialization u2( w) = Gˆ m(
w)
, decorrelation
becomes a linear set, with the LS solution (LD):
b
m
H −1
H
( ) ˆ ˆ
m m 2 m 1
Hm( w) = V V V ⎡
⎣
Φz z ( w) − u ( w) Φz
z ( w)
⎤
⎦
;
V ≜ Φˆ ( w) − u ( w) Φˆ
( w)
z z 2 z z
1 m
1 1
20