Determine the maximal value of triangle wave

Question

Assignment:

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 (θ) to that of the sine wave v_s(θ) at  = 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(θ) = 0.6V) and 73^° (v_s(θ) = 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.