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Code Listing by Travis Wiens

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Calculates the length of daylight for any day of the year and latitude.

This uses Herbert Glarner's formulae which do not take into account refraction, twilight, size of the sun, etc http://herbert.gandraxa.com/herbert/lod.asp.

An example is included

See blog.nutaksas.com for more details/



Generates the impulse response of an arbitrary forest of acoustically hard cylinders. Each tree scatters sound according to theory from Morse [1948]. Any number of trees of any radius may be placed at any position, limited only by memory and...



Implements the Complex Method of Constrained Optimization, as proposed by Box (1965), improved by Guin (1968) and Krus (1992), and following the method in Andresson (2001). This is capable of optimizing a "black-box" system with few...



Calculates slope and intercept for linear regression of data with errors in X and Y. The errors can be specified as varying point to point, as can the correlation of the errors in X and Y.

The uncertainty in the slope and intercept are...



Uses fft to calculate the circular cross correlation of two periodic signal vectors.This is equivalent to xc(k)=sum(u1.*circshift(u2,k)), but much faster (on the order of 500 times faster for a 1024 point signal).

The package also...



This package includes a number of methods of determining the delay between two period signals. The delay may be calculated to subsample accuracy. Methods include: three-point interpolation using parabolic, Gaussian, or cosine functions; a phase...



Radial basis functions are use for function approximation and interpolation. This package supports two popular classes of rbf: Gaussian and Polyharmonic Splines (of which the Thin Plate Spline is a subclass).

The package also calculates...



This package includes files for modelling nonlinear dynamic systems using a recurrent generalized neural network. The learning scheme uses the complex method of nonlinear nonderivative optimization, thereby avoiding the problems of computing the...



Linear feedback shift registers (LFSR) are a simple method of generating sequences, including pseudorandom number sequences. The LFSR code provided is very unrestricted, allowing for any feedback polynomial, initial state or decimation factor. The...



Sometimes it is important to be able to estimate the peak of a sampled continuous function between the samples. This is called subsample peak interpolation and is used in radar, delay estimation, and communication. Typically one fits a model to...