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How to do square pulse wave?

Started by crippler ●November 6, 2006
Hi. 
 
I require help with the following 
 
Given 
 
t=(0:0.001:1)'; 
 
y=sin(2*pi*50*t) + 2*sin(2*pi*120*t); 
 
plot(t,y) 
 
How can you generate a square pulse wave using many sine functions? 
    - Vary number of terms and comment on the convergence
Reply by Fred Marshall ●November 6, 20062006-11-06
"crippler" <crip_pler2003@yahoo.com> wrote in message 
news:T7SdnelxJOxLztLYnZ2dnUVZ_qmdnZ2d@giganews.com...

> Hi.
>
> I require help with the following
>
> Given
>
> t=(0:0.001:1)';
>
> y=sin(2*pi*50*t) + 2*sin(2*pi*120*t);
>
> plot(t,y)
>
> How can you generate a square pulse wave using many sine functions?
>    - Vary number of terms and comment on the convergence
>
>

This appears to be a homework problem.  Read up on Fourier Series.

Fred
Reply by Jerry Avins ●November 6, 20062006-11-06
Fred Marshall wrote:

> "crippler" <crip_pler2003@yahoo.com> wrote in message 
> news:T7SdnelxJOxLztLYnZ2dnUVZ_qmdnZ2d@giganews.com...
>> Hi.
>>
>> I require help with the following
>>
>> Given
>>
>> t=(0:0.001:1)';
>>
>> y=sin(2*pi*50*t) + 2*sin(2*pi*120*t);
>>
>> plot(t,y)
>>
>> How can you generate a square pulse wave using many sine functions?
>>    - Vary number of terms and comment on the convergence
>>
>>
> This appears to be a homework problem.  Read up on Fourier Series.


It appears to be two separate homework problems.

Jerry
-- 
        "The rights of the best of men are secured only as the
        rights of the vilest and most abhorrent are protected."
            - Chief Justice Charles Evans Hughes, 1927
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Reply by Richard Owlett ●November 6, 20062006-11-06
Jerry Avins wrote:


> Fred Marshall wrote:
> 
>> "crippler" <crip_pler2003@yahoo.com> wrote in message 
>> news:T7SdnelxJOxLztLYnZ2dnUVZ_qmdnZ2d@giganews.com...
>>
>>> Hi.
>>>
>>> I require help with the following
>>>
>>> Given
>>>
>>> t=(0:0.001:1)';
>>>
>>> y=sin(2*pi*50*t) + 2*sin(2*pi*120*t);
>>>
>>> plot(t,y)
>>>
>>> How can you generate a square pulse wave using many sine functions?
>>>    - Vary number of terms and comment on the convergence
>>>
>>>
>> This appears to be a homework problem.  Read up on Fourier Series.
> 
> 
> It appears to be two separate homework problems.
> 
> Jerry


I was going for
  IF CANNOT READ THEN
     ATTEND LECTURE
  ELSE
     FAIL
  ENDIF
Reply by Clay ●November 7, 20062006-11-07
crippler wrote:

> Hi.
>
> I require help with the following
>
> Given
>
> t=(0:0.001:1)';
>
> y=sin(2*pi*50*t) + 2*sin(2*pi*120*t);
>
> plot(t,y)
>
> How can you generate a square pulse wave using many sine functions?
>     - Vary number of terms and comment on the convergence



For fun show how to make a sine using just cosines. Fourier did!

Clay
Reply by Andor ●November 7, 20062006-11-07
Clay wrote:


> For fun show how to make a sine using just cosines.


What operations are allowed?
Reply by Clay ●November 7, 20062006-11-07
Andor wrote:

> Clay wrote:
>
> > For fun show how to make a sine using just cosines.
>
> What operations are allowed?



Sums of cosines of different frequencies.


Clay
Reply by Clay ●November 7, 20062006-11-07
Clay wrote:

> Andor wrote:
> > Clay wrote:
> >
> > > For fun show how to make a sine using just cosines.
> >
> > What operations are allowed?
>
>
> Sums of cosines of different frequencies.
>
>
> Clay


Plus I'll throw in that it only has to match sin(x) on the interval 0
to pi.


Clay
Reply by Andor ●November 7, 20062006-11-07
Clay schrieb:


> Clay wrote:
> > Andor wrote:
> > > Clay wrote:
> > >
> > > > For fun show how to make a sine using just cosines.
> > >
> > > What operations are allowed?
> >
> >
> > Sums of cosines of different frequencies.
> >
> >
> > Clay
>
> Plus I'll throw in that it only has to match sin(x) on the interval 0
> to pi.


I can do it with a series, but not a sum ...
Reply by Vladimir Vassilevsky ●November 7, 20062006-11-07

Clay wrote:



>>>>For fun show how to make a sine using just cosines.
>>>
>>>What operations are allowed?
>>
>>Sums of cosines of different frequencies.
>>
> Plus I'll throw in that it only has to match sin(x) on the interval 0
> to pi.


This is does not seem possible. You probably ment from 0 to PI/2.


Vladimir Vassilevsky

DSP and Mixed Signal Design Consultant

http://www.abvolt.com