dpss.h File Reference

Discrete Prolate Spheroidal Sequences (Slepian tapers) for multitaper spectral estimation. More...

#include "dsp_global.h"
#include <Eigen/Core>

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Classes
struct	UTILSLIB::DpssResult
	Result of a DPSS taper computation. More...
class	UTILSLIB::Dpss
	Discrete Prolate Spheroidal Sequences (Slepian tapers). More...

Namespaces
namespace	UTILSLIB
	Shared utilities (I/O helpers, spectral analysis, layout management, warp algorithms).

Detailed Description

Discrete Prolate Spheroidal Sequences (Slepian tapers) for multitaper spectral estimation.

SPDX-License-Identifier: BSD-3-Clause Copyright (c) 2026 MNE-CPP Authors

Author

Christoph Dinh chris.nosp@m.toph.nosp@m..dinh.nosp@m.@mne.nosp@m.-cpp..nosp@m.org

Since

2.2.0

Date

April 2026

The DPSS family is the unique set of sequences that maximise the energy concentration of a length-N signal inside a normalised half-bandwidth W. The first K ≈ 2NW eigenvectors of the corresponding Toeplitz-sinc kernel form an approximately uncorrelated orthonormal taper basis (Slepian, 1978; Thomson, 1982); their direct eigen- concentrations λ_k determine the leakage of every taper.

Used by MultitaperPsd and MultitaperTfr to suppress spectral bias while keeping the variance penalty of windowing under control. The implementation diagonalises the tri-diagonal Slepian matrix — numerically far better-behaved than working with the sinc kernel directly — and returns both the tapers and their concentrations so callers can apply adaptive (eigen-weighted) combining.

Definition in file dpss.h.