In the design of signal generators, the need arises to convert a triangular wave vT to a sine wave vS. The VTC of a triangle-to-sine converter is shown in Fig. P1.57a for the case in which vT and vS...

In the design of signal generators, the need arises to convert a triangular wave vT to a sine wave vS. The VTC of a triangle-to-sine converter is shown in Fig. P1.57a for the case in which vT and vS have the same slope at the origin. In this case one can readily prove that the peak values of the two waveforms are related as Vtm

(a)Use the rules of thumb (18 mVyoctave and 60 mVydecade) to calculate vS as well as vT 5 RiD 1 vS at the following diode currents: iD 5 1 A, 4 A, 10 A, 20 A, 40 A, 100A, 0.2 mA, 0.4 mA, 0.5 mA, 0.8 mA, and 1.0 mA. (b) Using the above data, plot vS versus vT and verify that the circuit of provides an approximation, if crude, to the VTC. (c) Simulate the circuit via PSpice. Use a 1-kHz triangular wave with peak values of 61.1 V, and display both vT and vS versus time.