ca.nengo.dynamics.impl

Class ImpulseIntegral

java.lang.Object

ca.nengo.dynamics.impl.ImpulseIntegral

public class ImpulseIntegral
extends java.lang.Object

A tool for finding the integral of the impulse response of an LTI system. The impulse response of an LTI system is the matrix D*d(t) + C*exp(A*t)*B, where A,B,C,D are defined as usual and d(t) is an impulse. We are interested here in the integral of this matrix (which we may want so that we can normalize it somehow).

There are many ways to calculate e^At (see Moler & Van Loan, 2003). Here we use simulation, which is simple to implement, and numerically attractive when the result is needed at many t.

Constructor Summary

Constructors

Constructor and Description
ImpulseIntegral()

Method Summary

Methods

Modifier and Type	Method and Description
static float[][]	integrate(LTISystem system)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ImpulseIntegral

public ImpulseIntegral()

Method Detail

integrate

public static float[][] integrate(LTISystem system)

Parameters:

system - The system for which integrals of impulse responses are needed

Returns:

Integrals of impulse responses. This is a matrix with the same dimensions as the passthrough matrix of the system. Each column is the integral of the response to an impulse at the corresponding input.