Help me solve a step pulse equation

[brahma]

u(t) = 1 for t>0
how to prove u²(t) =1 for t>0.

 

[pthoppay]

Re: step pulse

Hi,
I dont see any complication here, wont just squaring the wave at all values of `t` do?

Prakash.

 

[hamidr_karami]

Re: step pulse

hi,
it's very simple to solve.
you can u(t) multiply by u(t) in t>0
1*1=1
==> u(t)*u(t)=u(t)

 

[brahma]

Re: step pulse

so according to you u(t)×u(t) = 1 = u(t)
so multiplication in time domain is equivalent to convolution in frequency domain. will this be satisfied????

 

[purnapragna]

Re: step pulse

it is surely possibe!

 

[Andrew10]

Re: step pulse

Fourier transform for step function is the distribution (or general function),
similar to Dirac function. Therefore you must calculate convolution
for the two distributions. In this case you will obtain the correct result.

Excuse me for my bad english!