Electronics (Triangle to Sine) (Price Negotiable)

I only need the calculations for the problem.

There are two methods for designing the nonlinear triangle-to-sine converter.

1.       Assume the maximum value of the sine wave is 1.2V (two diode potentials using the constant-voltage model of a silicon diode).  Match the slope of the triangle wave v_tri (q) to that of the sine wave v_s(q) at q = 0; this allows you to compute the maximal value V_tri of the triangle wave.  Thenmatch the slope of the sine wave to that of the triangle wave multiplied by R_b /(R_a + R_b) when the triangle wave voltage reaches V_tri/2.  This allows you to compute the ratio of the resistors.

2.      Assume that the points of inflection of the piecewise-linear transfer characteristic occur at 29° (v_s(q) = 0.6V) and 73° (v_s(q) = 1.2V).  Use the first point of inflection to determine the maximal value V_tri of the triangle wave and use the change in v_s relative to the change in v_tri between 29° and 73° to calculate the ratio of the resistors.