TDD (version 0.4)

ConvDiffCoef: Convert Differential to Difference Eq. Coefficients

Description

Returns difference equation coefficients corresponding to input differential equation coefficients and sample interval.

Usage

ConvDiffCoef(db, dt)

Arguments

db

Vector of differential equation coefficients

dt

Time interval (s)

Value

Coefficients of difference equation.

Details

Input differential equation is of the form db[1] * f(t) + db[2] * f'(t) + db[3] * f''(t)...

Output difference equation is of the form b[1] * x_i + b[2] * x_(i-1) + b[3] * x_(i-2)...

Examples

db = c(0, 0, 1) # represents f''(t)
dt = 0.1

ConvDiffCoef(db, dt)