Laguerre Filters

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Microsoft Excel: July 2025
In his article in this issue, “Laguerre Filters,” John Ehlers makes a simple adjustment to the Laguerre calculation by applying his UltimateSmoother as the first layer of the calculation. Then he compares the resulting Laguerre filter with the UltimateSmoother (see Figure 10).
That chart in his article shows the Laguerre filter to be the better trend follower. FIGURE 10: EXCEL. Here you see the Laguerre filter and the UltimateSmoother plotted on a chart of the emini S&P 500 index futures contract (ES) for comparison. The Laguerre filter appears to be a better trend-follower.
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In his article, Ehlers proceeds to demonstrate the effectiveness of pairing two Laguerre filters with slightly different specifications to generate trend-following signals. (See Figure 11.) FIGURE 11: EXCEL. Here is a demonstration of two Laguerre filters, each with different length and gamma specs, used to generate trend-following signals.
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As a last option, Ehlers shows how to turn parts of the Laguerre calculation into a trend-following oscillator, where values above zero generally correspond to upward movement and values below zero to downward movement. (See Figure 12.) FIGURE 12: EXCEL. Here is a demonstration of the Laguerre oscillator, a low-lag trend indicator, applied to a chart of ES. Values above zero generally correspond to upward movement and values below zero generally correspond to downward movement.
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