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.
Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
ImpulseIntegral
public ImpulseIntegral()
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.