# Identification of a transfer function

Can you obtain a transfer function in frequency domain with a bode plot form given by this function: $$S=k1 \sqrt{1+\frac{k2}{f}}$$ I did not managed it because actually in the lowest part of frequencies decreases with 10dB/dec. So is not a simple pole (20dB/dec) and zero function. Maybe it is possible to obtain such function by adding many low pass filters. Any idea?

• I think maybe you are confused it's already in frequency domain please check it out. – Ch.Siva Ram Kishore Dec 25 '18 at 3:53
• These questions are related and may be helpful: Q1, Q2, Q3 – Matt L. Dec 25 '18 at 9:48
• @Ch.SivaRamKishore The purpouse is to obtain a transfer function with a form similar to the plot of S(f). Off course, the S is dependent by the frequency but not expressed in term of s. – Ba5o Dec 27 '18 at 16:49