> Hi Randy,
>
>
> As you explain we have two form:
>
> f * g = (f_x + i*f_y) * (g_x + i*g_y)
> = (f_x*g_x - f_y*g_y) + i*(f_y*g_x + f_x*g_y).
>
> in real and imaginary part.
>
> I am still dont understand how to calculate convolution if we have two
> part : real and imaginary. Am I just calculate use the general
> convolution formula?
> y(n) = h(k).x(n-k)
Yes, and use the fact that \int(a + i*b)dt = \int(a)dt + i*\int(b)dt.
> What is the convolution ouput for will be? in real part only or in
> complex form ?
Complex.
--
% Randy Yates % "And all that I can do
%% Fuquay-Varina, NC % is say I'm sorry,
%%% 919-577-9882 % that's the way it goes..."
%%%% <yates@ieee.org> % Getting To The Point', *Balance of Power*, ELO
http://home.earthlink.net/~yatescr
Reply by estdev●May 15, 20052005-05-15
Hi Randy,
As you explain we have two form:
f * g = (f_x + i*f_y) * (g_x + i*g_y)
= (f_x*g_x - f_y*g_y) + i*(f_y*g_x + f_x*g_y).
in real and imaginary part.
I am still dont understand how to calculate convolution if we have two
part : real and imaginary. Am I just calculate use the general
convolution formula?
y(n) = h(k).x(n-k)
What is the convolution ouput for will be? in real part only or in
complex form ?
Thanks.
regard,
estdev
Reply by ●May 12, 20052005-05-12
"nmaedewi" <nmaedewi@yahoo.com> writes:
> Dear All,
>
>
> I would like to convolve two complex sequences. Could anybody help me
> how to define the convolution of two complex sequences please?
>
>
> Thanks in advanced.
Hi,
If we have two complex numbers f and g,
f = f_x + i*f_y
g = g_x + i*g_y,
where _x and _y are the real and imaginary
components of the numbers, respectively, then
f * g = (f_x + i*f_y) * (g_x + i*g_y)
= (f_x*g_x - f_y*g_y) + i*(f_y*g_x + f_x*g_y).
Now expand this idea into f and g being two functions
and you'll be a step further. Place that result into
the convolution integral and you'll be done.
--
Randy Yates
Sony Ericsson Mobile Communications
Research Triangle Park, NC, USA
randy.yates@sonyericsson.com, 919-472-1124
Reply by nmaedewi●May 12, 20052005-05-12
Dear All,
I would like to convolve two complex sequences. Could anybody help me
how to define the convolution of two complex sequences please?
Thanks in advanced.
Regard,
nmaedewi
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