Instantaneous frequency based spectral analysis of nuclear magnetic spectroscopy data for metabolomics

Nuclear magnetic resonance spectroscopy (NMRS) signals are modeled as a sum of decaying complex exponentials. The spectral analysis of these signals in order to detect their components and estimate their parameters is crucial to the biochemical analysis of the samples under examination. This paper presents a novel time frequency representation based on a Gabor filterbank/notch filtering instantaneous frequency estimator, in order to enable the detection of weaker and shorter lived exponentials. Building on prior work involving filterank-based instantaneous frequency (IF) estimation, this new approach is an iterative procedure where a Gabor filterbank is first employed in order to obtain a reliable estimate of the IF of the strongest component present. This component is then notch filtered in order to un-mask weaker components and the procedure repreated. The performance of this method was evaluated using an artificial signal and compared to the short time Fourier transform and the original Gabor filterbank approach. The results clearly demonstrate the superiority of the new method in uncovering weaker signals and resolving components that are very close to one another in frequency.

[1]  Elias Aboutanios,et al.  Time-frequency and advanced frequency estimation techniques for the investigation of bat echolocation calls. , 2010, The Journal of the Acoustical Society of America.

[2]  Elias Aboutanios,et al.  Estimation of the Frequency and Decay Factor of a Decaying Exponential in Noise , 2010, IEEE Transactions on Signal Processing.

[3]  James H. McClellan,et al.  Instantaneous frequency estimation using linear prediction with comparisons to the DESAs , 1996, IEEE Signal Processing Letters.

[4]  Srinivasan Umesh,et al.  Estimation of parameters of exponentially damped sinusoids using fast maximum likelihood estimation with application to NMR spectroscopy data , 1996, IEEE Trans. Signal Process..

[5]  G. C. Levy,et al.  Modern methods of N M R data processing and data evaluation , 1991 .

[6]  J. Lindon,et al.  Metabonomics: a platform for studying drug toxicity and gene function , 2002, Nature Reviews Drug Discovery.

[7]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. II. A/lgorithms and applications , 1992, Proc. IEEE.

[8]  Victor A. N. Barroso,et al.  On the concept of instantaneous frequency , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[9]  Elias Aboutanios,et al.  Investigation of bat echolocation calls using high resolution spectrogram and instantaneous frequency based analysis , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[10]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[11]  Jian Li,et al.  Parametric methods for frequency-selective MR spectroscopy-a review. , 2004, Journal of magnetic resonance.

[12]  S. Van Huffel,et al.  MRS signal quantitation: a review of time- and frequency-domain methods. , 2008, Journal of magnetic resonance.

[13]  G. C. Levy,et al.  Modern Methods of NMR Data Processing and Data Evaluation , 1992 .

[14]  Sabine Van Huffel,et al.  Using prior knowledge in SVD-based parameter estimation for magnetic resonance spectroscopy-the ATP example , 2004, IEEE Transactions on Biomedical Engineering.

[15]  Petros Maragos,et al.  A comparison of the energy operator and the Hilbert transform approach to signal and speech demodulation , 1994, Signal Process..

[16]  Barry G. Quinn,et al.  The Estimation and Tracking of Frequency , 2001 .

[17]  Pradip Sircar,et al.  Parametric modelling of non-stationary signals: a unified approach , 1997, Signal Process..

[18]  Petros Maragos,et al.  On amplitude and frequency demodulation using energy operators , 1993, IEEE Trans. Signal Process..

[19]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.

[20]  P. Maragos,et al.  Speech formant frequency and bandwidth tracking using multiband energy demodulation , 1996 .

[21]  L. Mandel Interpretation of Instantaneous Frequencies , 1974 .

[22]  D. Petri,et al.  Analysis of dampled sinusoidal signals via a frequency domain interpolation algorithm , 1993 .