# Constant in convolution intergal

Started by June 2, 2005
```Convolution between A(t) and S (t) is defined as

integral (-infinity to +infinity) with inside integral we have
A(T)S(t-T)dT, now suppose if we have A(T)S(vt-vT) inside that intergal,
where 'v' is a constant. Can we still call it as a convolution? if yes how
can we take care of 'v' and if its not a convolution how can we manipulate
it to make it convolution?

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```
```"aries44" <omar_shahid2@hotmail.com> writes:

> Convolution between A(t) and S (t) is defined as
>
> integral (-infinity to +infinity) with inside integral we have
>  A(T)S(t-T)dT, now suppose if we have A(T)S(vt-vT) inside that intergal,
> where 'v' is a constant. Can we still call it as a convolution?

No.

> if yes how
> can we take care of 'v' and if its not a convolution how can we manipulate
> it to make it convolution?

Let S'(t) = S(vt). Then what you have expressed is the convolution of
A(t) with S'(t).
--
Randy Yates
Sony Ericsson Mobile Communications
Research Triangle Park, NC, USA
randy.yates@sonyericsson.com, 919-472-1124
```
```>"aries44" <omar_shahid2@hotmail.com> writes:
>
>> Convolution between A(t) and S (t) is defined as
>>
>> integral (-infinity to +infinity) with inside integral we have
>>  A(T)S(t-T)dT, now suppose if we have A(T)S(vt-vT) inside that
intergal,
>> where 'v' is a constant. Can we still call it as a convolution?
>
>No.
>
>> if yes how
>> can we take care of 'v' and if its not a convolution how can we
manipulate
>> it to make it convolution?
>
>Let S'(t) = S(vt). Then what you have expressed is the convolution of
>A(t) with S'(t).

shouldnt it be S'(t) = S(vT) instead of S(vt)??????

>Randy Yates
>Sony Ericsson Mobile Communications
>Research Triangle Park, NC, USA
>randy.yates@sonyericsson.com, 919-472-1124
>

This message was sent using the Comp.DSP web interface on
www.DSPRelated.com
```
```"aries44" <omar_shahid2@hotmail.com> writes:
> [...]
> shouldnt it be S'(t) = S(vT) instead of S(vt)??????

No.
--
Randy Yates
Sony Ericsson Mobile Communications
Research Triangle Park, NC, USA
randy.yates@sonyericsson.com, 919-472-1124
```