<s>
In	O
mathematics	O
,	O
any	O
integrable	O
function	O
can	O
be	O
made	O
into	O
a	O
periodic	O
function	O
with	O
period	O
P	O
by	O
summing	O
the	O
translations	O
of	O
the	O
function	O
by	O
integer	O
multiples	O
of	O
P	O
.	O
This	O
is	O
called	O
periodic	B-Algorithm
summation	I-Algorithm
:	O
</s>
<s>
When	O
is	O
alternatively	O
represented	O
as	O
a	O
Fourier	O
series	O
,	O
the	O
Fourier	O
coefficients	O
are	O
equal	O
to	O
the	O
values	O
of	O
the	O
continuous	B-Algorithm
Fourier	I-Algorithm
transform	I-Algorithm
,	O
at	O
intervals	O
of	O
.	O
</s>
<s>
Similarly	O
,	O
a	O
Fourier	O
series	O
whose	O
coefficients	O
are	O
samples	O
of	O
at	O
constant	O
intervals	O
(	O
T	O
)	O
is	O
equivalent	O
to	O
a	O
periodic	B-Algorithm
summation	I-Algorithm
of	O
which	O
is	O
known	O
as	O
a	O
discrete-time	O
Fourier	B-Algorithm
transform	I-Algorithm
.	O
</s>
<s>
The	O
periodic	B-Algorithm
summation	I-Algorithm
of	O
a	O
Dirac	O
delta	O
function	O
is	O
the	O
Dirac	O
comb	O
.	O
</s>
<s>
Likewise	O
,	O
the	O
periodic	B-Algorithm
summation	I-Algorithm
of	O
an	O
integrable	O
function	O
is	O
its	O
convolution	B-Language
with	O
the	O
Dirac	O
comb	O
.	O
</s>
