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Introduction to the Science of Signal Analysis. Market Modes. Moving Averages. Momentum Functions. Complex Variables. Hilbert Transform. Measuring Cycle Periods. Signal to Noise Ratio. The Sinewave Indicator. The Instantaneous Trendline. Identifying Market Modes. Designing a Profitable Trading System. Transform Arithmetic. Finite Impulse Response Filters. Infinite Impulse Response Filters. Removing Lag. MAMA-the Mother of Adaptive Moving Averages. Ehlers Filters. Measuring Market Spectra. Optimum Predictive Filters. What You See is What You Get. Making Standard Indicators Adaptive.