<s>
In	O
signal	O
processing	O
,	O
the	O
chirplet	B-Algorithm
transform	I-Algorithm
is	O
an	O
inner	O
product	O
of	O
an	O
input	O
signal	O
with	O
a	O
family	O
of	O
analysis	O
primitives	O
called	O
chirplets	B-Algorithm
.	O
</s>
<s>
Similar	O
to	O
the	O
wavelet	B-Algorithm
transform	I-Algorithm
,	O
chirplets	B-Algorithm
are	O
usually	O
generated	O
from	O
(	O
or	O
can	O
be	O
expressed	O
as	O
being	O
from	O
)	O
a	O
single	O
mother	O
chirplet	B-Algorithm
(	O
analogous	O
to	O
the	O
so-called	O
mother	O
wavelet	O
of	O
wavelet	O
theory	O
)	O
.	O
</s>
<s>
The	O
term	O
chirplet	B-Algorithm
transform	I-Algorithm
was	O
coined	O
by	O
Steve	O
Mann	O
,	O
as	O
the	O
title	O
of	O
the	O
first	O
published	O
paper	O
on	O
chirplets	B-Algorithm
.	O
</s>
<s>
The	O
term	O
chirplet	B-Algorithm
itself	O
(	O
apart	O
from	O
chirplet	B-Algorithm
transform	I-Algorithm
)	O
was	O
also	O
used	O
by	O
Steve	O
Mann	O
,	O
Domingo	O
Mihovilovic	O
,	O
and	O
Ronald	O
Bracewell	O
to	O
describe	O
a	O
windowed	O
portion	O
of	O
a	O
chirp	B-Application
function	O
.	O
</s>
<s>
The	O
chirplet	B-Algorithm
transform	I-Algorithm
thus	O
represents	O
a	O
rotated	O
,	O
sheared	O
,	O
or	O
otherwise	O
transformed	O
tiling	O
of	O
the	O
time	O
–	O
frequency	O
plane	O
.	O
</s>
<s>
Although	O
chirp	B-Application
signals	O
have	O
been	O
known	O
for	O
many	O
years	O
in	O
radar	B-Application
,	O
pulse	O
compression	O
,	O
and	O
the	O
like	O
,	O
the	O
first	O
published	O
reference	O
to	O
the	O
chirplet	B-Algorithm
transform	I-Algorithm
described	O
specific	O
signal	O
representations	O
based	O
on	O
families	O
of	O
functions	O
related	O
to	O
one	O
another	O
by	O
time	O
–	O
varying	O
frequency	O
modulation	O
or	O
frequency	O
varying	O
time	O
modulation	O
,	O
in	O
addition	O
to	O
time	O
and	O
frequency	O
shifting	O
,	O
and	O
scale	O
changes	O
.	O
</s>
<s>
In	O
that	O
paper	O
,	O
the	O
Gaussian	B-Application
chirplet	B-Algorithm
transform	I-Algorithm
was	O
presented	O
as	O
one	O
such	O
example	O
,	O
together	O
with	O
a	O
successful	O
application	O
to	O
ice	O
fragment	O
detection	O
in	O
radar	B-Application
(	O
improving	O
target	O
detection	O
results	O
over	O
previous	O
approaches	O
)	O
.	O
</s>
<s>
The	O
term	O
chirplet	B-Algorithm
(	O
but	O
not	O
the	O
term	O
chirplet	B-Algorithm
transform	I-Algorithm
)	O
was	O
also	O
proposed	O
for	O
a	O
similar	O
transform	O
,	O
apparently	O
independently	O
,	O
by	O
Mihovilovic	O
and	O
Bracewell	O
later	O
that	O
same	O
year	O
.	O
</s>
<s>
The	O
first	O
practical	O
application	O
of	O
the	O
chirplet	B-Algorithm
transform	I-Algorithm
was	O
in	O
water-human-computer	O
interaction	O
(	O
WaterHCI	O
)	O
for	O
marine	O
safety	O
,	O
to	O
assist	O
vessels	O
in	O
navigating	O
through	O
ice-infested	O
waters	O
,	O
using	O
marine	O
radar	B-Application
to	O
detect	O
growlers	O
(	O
small	O
iceberg	O
fragments	O
too	O
small	O
to	O
be	O
visible	O
on	O
conventional	O
radar	B-Application
,	O
yet	O
large	O
enough	O
to	O
damage	O
a	O
vessel	O
)	O
.	O
</s>
<s>
Other	O
applications	O
of	O
the	O
chirplet	B-Algorithm
transform	I-Algorithm
in	O
WaterHCI	O
include	O
the	O
SWIM	O
(	O
Sequential	O
Wave	O
Imprinting	O
Machine	O
)	O
.	O
</s>
<s>
as	O
well	O
as	O
to	O
excise	O
chirp-like	O
interference	O
in	O
spread	O
spectrum	O
communications	O
,	O
in	O
EEG	O
processing	O
,	O
and	O
Chirplet	B-Algorithm
Time	O
Domain	O
Reflectometry	O
.	O
</s>
<s>
The	O
warblet	O
transform	O
is	O
a	O
particular	O
example	O
of	O
the	O
chirplet	B-Algorithm
transform	I-Algorithm
introduced	O
by	O
Mann	O
and	O
Haykin	O
in	O
1992	O
and	O
now	O
widely	O
used	O
.	O
</s>
