Help me get started on this math problem :(

[TecHNooB]

The book does a great job convulving two functions that are like 2 impulses long, but I have no idea how to solve an actual discrete convolution problem. Here it is:

x[n] = (alpha)^n u[n]
h[n] = (beta)^n u[n]

Find y[n] = x[n] * h[n]

So far, all I have is..

Beta^N Summation from k to infinity of alpha^k times beta^-k

How do I proceed?

Actually, I think the answer might be Beta^n times (1 / 1-X) where X is alpha over beta. Someone verify this for me ~~

 

[DaTT]

Here is how to proceed:

1. Go to liquor store and buy something strong
2. Go next door to gun shop and buy something strong
3. Go home and load new gun and pour a glass
4. Look at math problem once again
5. Eat bullet.

 

[Born2bwire]

Originally posted by: DaTT
Here is how to proceed:

1. Go to liquor store and buy something strong
2. Go next door to gun shop and buy something strong
3. Go home and load new gun and pour a glass
4. Look at math problem once again
5. Eat bullet.

Be serious man, if he's going to go the liquor store to buy liquor he should be instructed to consume said liquor before the bullet.

 

[DaTT]

Originally posted by: Born2bwire

Originally posted by: DaTT
Here is how to proceed:

1. Go to liquor store and buy something strong
2. Go next door to gun shop and buy something strong
3. Go home and load new gun and pour a glass
4. Look at math problem once again
5. Eat bullet.

Be serious man, if he's going to go the liquor store to buy liquor he should be instructed to consume said liquor before the bullet.

re-read step 3

 

[CatchPhrase]

43

 

[MovingTarget]

What level math is this? Normally convolution of functions like that isn't studied until Real Analysis...

 

[Mday]

Originally posted by: MovingTarget
What level math is this? Normally convolution of functions like that isn't studied until Real Analysis...

Real analysis does not handle discrete functions.

Anyway, the answer you have doesn't look right to me, and I don't have time to do this before work. What is u[n]?

http://cnx.org/content/m11539/latest/

Have fun.