Log in to see Cloud of Tags

# FIR

### Syntax

public FIR(DataSeries source, string weights, string description)
public static FIR Series(WealthLab.DataSeries source, string weights)
public static double Value(int bar, DataSeries source, params double[ ] weightValues)
public static double Value(int bar, DataSeries source, string weights)

### Parameter Description

 source Price series weights Weights as string e.g. "1,2,2,1" weights Alternatively, specify weights as double[] array Warning! Weights must not sum to zero (e.g. -1, -2, 2, 1 would result in error).

### Description

FIR stands for Finite Impulse Response Filter. This is a type of smoothing filter that assigns different weights to price data a number of bars in the past. Pass the Price Series you want to apply the filter to in the first parameter. The second parameter of the FIR is a string that describes the weights that will be applied to the bars of data that compose the filter. The string is formatted as a series of numbers separated by commas.

### Interpretation

FIR filters are nothing more than another type of weighted moving average, with different weight levels applied to the various components of the average. As such, you can apply any of the various interpretations of moving averages to FIR.

### Calculation

A simple example will make this concept easier to explain. Assume we pass the string value of "1,2,3,4" as the second parameter to FIR, and apply it to closing prices. The function will perform the following calculation:

( ( 1 * Closebar-3) + ( 2 * Closebar-2 ) + ( 3 * Closebar-1 ) + ( 4 x Closebar) ) / 10

As you can see, each weighting is multiplied by the closing price of the respective lookback bar. The final sum of the weighted price values is divided by the sum of the weights.

### Example

using System;
using System.Collections.Generic;
using System.Text;
using System.Drawing;
using WealthLab;
using WealthLab.Indicators;

namespace WealthLab.Strategies { public class MyStrategy : WealthScript { protected override void Execute() { // A FIR is used as a signal line for a 200 day moving average DataSeries SMASer = SMA.Series( Close, 200 ); PlotSeries( PricePane, SMASer, Color.Olive, WealthLab.LineStyle.Solid, 2 ); PlotSeries( PricePane, FIR.Series( SMASer, "1,2,2,1" ), Color.Black, WealthLab.LineStyle.Solid, 1 ); } } }

 Important Disclaimer: The information provided by Wealth-Lab is strictly for informational purposes and is not to be construed as advice or solicitation to buy or sell any security.  The owner of Wealth-Lab.com assumes no liability resulting from the use of the material contained herein for investment purposes. By using this web site, you agree to the terms of this disclaimer and our Terms of Use.

ScrewTurn Wiki. Some of the icons created by FamFamFam.