Generating the Laguerre functions

It is important to be able to efficiently generate values for the Laguerre functions. There are several ways to do so and each way requires a different amount of computational effort. 

Method A. For low model orders, the Laguerre functions can be generated using Equations (2.4) directly. 

Method B. For higher model orders, a recursive approach proposed in Atkinson (1989) can be used. 

Method C. When MATLAB is available, the transfer functions of the Laguerre filters can be used to evaluate their unit impulse responses. 

Method D. The set of differential equations in Equation (2.16) can be solved numerically. 

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We can now generate the Laguerre functions in Equations (2.4) by setting X = 2pt in the Laguerre polynomials... 

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