# Changing from Decibel to normal with pdfs

• February 16th 2011, 07:47 AM
Beebs
Changing from Decibel to normal with pdfs
Hi,

I have a distribution that is normal in the dB scale. When I convert it to the normal scale I cannot seem to get it to work for me.

For example I have a normal distribution with mean 0 variance 1.

I'm always adding 1 to numbers from that distribution and want to see the new pdf.

If I just generate variable x, then convert by $10 ^{ \frac{x}{10}}$

I can get the result but I want to be able to play with the pdfs.

Is there a way to do this correctly using only the pdfs?

I've tried converting the ranges but this leads to the problem of unevenly spaced bins.
• February 16th 2011, 11:48 AM
mr fantastic
Quote:

Originally Posted by Beebs
Hi,

I have a distribution that is normal in the dB scale. When I convert it to the normal scale I cannot seem to get it to work for me.

For example I have a normal distribution with mean 0 variance 1.

I'm always adding 1 to numbers from that distribution and want to see the new pdf.

If I just generate variable x, then convert by $10 ^{ \frac{x}{10}}$

I can get the result but I want to be able to play with the pdfs.

Is there a way to do this correctly using only the pdfs?

I've tried converting the ranges but this leads to the problem of unevenly spaced bins.

You're transforming the random variable X into a new random variable Y = ..... (insert relationship between X and Y). Have you been taught how to find the new pdf?