Sound Wave Cycles 3 - Doppler Effect

Has anyone explored the Doppler Effect on waves? The formula doesn’t look too hard and might account for some of the variability of waves, in particular the fact that troughs tend to occur early in bullish markets and late in bearish markets. The formula Fo=Fs(V±Vo/V±Vs) is straightforward enough for its intended purpose but the variables would have to be re-purposed to work with Hurst cycles. An example is that Fs and Vs is the Frequency and Velocity of the Source, would the Source be the last trough? With a Velocity of zero? Would the Observer (Fo and Vo) be the expected trough? Additionally, the formula would have to be reverse engineered to project the position of said Observer.

Anyway, food for thought. Ideas anyone?