TY - GEN

T1 - A new linear time-frequency paradigm

AU - Nelson, Douglas J.

AU - Smith, David C.

PY - 2004

Y1 - 2004

N2 - We propose a new linear time-frequency (TF) paradigm, in which the value of a signal at any time is distributed in frequency. Starting with the short time Fourier transform (STFT) representation of a signal, we apply a morphing process, based on the channelized instantaneous frequency (GIF), to obtain a new TF representation. When applied to a multicomponent signal which has linearly independent components and which satisfies a separability condition, the process produces a TF representation in which the value of each signal component is distributed along the component's instantaneous frequency curve in the time-frequency plane. The method is linear on the span of the signal's components, and cross-terms, which make it difficult for conventional TF methods to isolate individual components, do not occur. The individual components are effectively isolated in the new representation, and may be recovered by a straight-forward integration. We apply die new technique to remove an additive sinusoidal FM interferer from a speech signal, and demonstrate its superiority to either the STFT or standard spectral subtraction.

AB - We propose a new linear time-frequency (TF) paradigm, in which the value of a signal at any time is distributed in frequency. Starting with the short time Fourier transform (STFT) representation of a signal, we apply a morphing process, based on the channelized instantaneous frequency (GIF), to obtain a new TF representation. When applied to a multicomponent signal which has linearly independent components and which satisfies a separability condition, the process produces a TF representation in which the value of each signal component is distributed along the component's instantaneous frequency curve in the time-frequency plane. The method is linear on the span of the signal's components, and cross-terms, which make it difficult for conventional TF methods to isolate individual components, do not occur. The individual components are effectively isolated in the new representation, and may be recovered by a straight-forward integration. We apply die new technique to remove an additive sinusoidal FM interferer from a speech signal, and demonstrate its superiority to either the STFT or standard spectral subtraction.

KW - Channelized instantaneous frequency

KW - Instantaneous frequency

KW - Short time Fourier transform

KW - Spectral subtraction

KW - Time-frequency representations

UR - http://www.scopus.com/inward/record.url?scp=10444275685&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:10444275685

SN - 088986442X

T3 - Sixth IASTED International Conference on Signal and Image Processing

SP - 551

EP - 556

BT - Sixth IASTED International Conference on Signal and Image Processing

A2 - Hamza, M.H.

Y2 - 23 August 2004 through 25 August 2004

ER -