# Find the frequency response if i have the magnitude response?

if i have the transfer function of magnitude response is there a method that i could calculate the frequency response?

For example the transfer function of the magnitude response is:

$3db \pm 3.5db$ for $|ν|<0.1$

$<-55db$ for $|ν|<0.2$

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That's not a transfer function, it's more of a filter specification. –  endolith Feb 25 '13 at 19:15

$$H(\omega) = |H(\omega)| \angle H(\omega)$$
If you know that the filter is linear phase, then you can assume that for the system's phase response. The slope of the phase is proportional to the filter order. The sample rate refers to the time spacing between samples at the input of the filter. 10 million samples are input per second, so the time spacing between samples is $\frac{1}{10000000} = 0.1 \mathrm{ \mu sec}$. –  Jason R Feb 25 '13 at 18:52