Handling the rising edge of a rapidly increasing sinusoid

Hi, I'm looking for a method to deal with the rising edge of a fast-rising sine wave (or wave peaks that are ahead of phase compared to the original signal, waveform image attached). Analog processing circuits are preferred but I'd also be grateful if someone recommends a DSP algorithm
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I can only suggest a line of thought:

1) Divide the blue waveform by the green one (as close to zero as you can), to get the exact transfer characteristic (Vout vs Vin) of the required distortion.
2) Find circuitry that can implement the said distortion to the required amount of accuracy.