lagrange_delay()

MAYAFLUX_API std::vector< double > MayaFlux::Kinesis::Discrete::lagrange_delay	(	double	delay,
		size_t	order
	)

Lagrange fractional-delay FIR coefficients.

Interpolates between samples at a non-integer offset by fitting a polynomial through order + 1 consecutive points. Order 1 is linear interpolation; order 3 at a fractional position reproduces the Catmull-Rom weights held as a matrix in Kinesis::BasisMatrices, generalised to any order.

Accuracy is highest when delay falls near the centre of the tap span, so callers wanting a delay of D samples with order N typically use an integer delay line of D - N/2 followed by this kernel for the remainder.

Parameters

delay	Delay in samples, need not be integral; clamped to [0, order]
order	Polynomial order; produces order + 1 taps

Returns

Coefficient vector of length order + 1

Definition at line 360 of file Coefficients.cpp.

{
    std::vector<double> h(order + 1);
    lagrange_weights(delay, h);
    return h;
}

References delay(), h, and lagrange_weights().

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