Transfer function of this circuit

Given sinusoidal signal at the input, Find the transfer function for this circuit? Assume that the diodes are ideal. 0 is less than V_input<5.5 D1 is in forward region and D2 is OFF(b/c V_input-(-V_input)<11, the potential difference between anode and cathode of D2) Hence V_input=V_Output

V_input>5.5 D1 is in forward region and D2 is conducts in Zener region(b/c V_input-(-V_input)>11, the potential difference between anode and cathode of D2), V_output=??

The same happens for the lower half of input with the states of diodes reversing.

Question:

1)I think I have analyzed this circuit incorrectly, where did I go wrong? 2)What is the transfer function for this circuit? 3) is there a systematic procedure to find transfer function of such circuits?

• Transfer function is a concept that is normally only applied to linear systems. Your circuit is not a linear system. So to answer the question, we'll have to know what you mean by the transfer function of a nonlinear circuit. – The Photon Oct 28 '15 at 17:01
• I am assuming ideal diodes which have linear relationship for input and output piecewise. By transfer function , I mean how does the output relate to input/What is the waveform of the output? – Hashir Omer Oct 28 '15 at 17:27
• Okay, but the waveform is going to pass through the breaks in the piecewise model. So what do you mean by transfer function for a nonlinear circuit? – The Photon Oct 28 '15 at 17:39
• A full wave rectified sine wave has a strong 2nd harmonic content. As @The Photon says, the system is non-linear and a TF does not exist. – Chu Oct 28 '15 at 18:17
• @HashirOmer You are looking for the "transfer characteristics" and not for the "transfer function" because the latter only applies for linear circuits. – Roger C. Oct 28 '15 at 19:09