The centered Detrend is the most accurate way to identify cycle highs and lows. With it you can see Right and Left Translation and the flow of cycles. You can also readily see why price highs and lows are not always cycle highs and lows. But because the moving average is centered, this Detrend is not useful for real-time analysis. A current-time Detrend in which prices are detrended around a moving average that is not centered can be used as a market oscillator to indicate overextended price levels and also to help identify cycle highs and lows