cascade()

MAYAFLUX_API std::vector< double > MayaFlux::Kinesis::Discrete::cascade	(	std::span< const double >	lhs,
		std::span< const double >	rhs
	)

Polynomial product of two coefficient vectors.

Cascading two sections is multiplication of their transfer functions, which is convolution of the numerators and of the denominators separately. Apply once to the a pair and once to the b pair to collapse two sections into a single higher-order recurrence.

Parameters

lhs	First coefficient vector
rhs	Second coefficient vector

Returns

Vector of length lhs.size() + rhs.size() - 1

Definition at line 298 of file Coefficients.cpp.

{
    if (lhs.empty() || rhs.empty())
        return {};
 
    std::vector<double> out(lhs.size() + rhs.size() - 1, 0.0);
    for (size_t i = 0; i < lhs.size(); ++i) {
        for (size_t j = 0; j < rhs.size(); ++j)
            out[i + j] += lhs[i] * rhs[j];
    }
    return out;
}