Faculty Publications

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    An Exposition of Digital Taylor-Fourier Transform
    (Springer Science and Business Media Deutschland GmbH, 2024) Rao, K.; Shubhanga, K.N.
    Digital Taylor-Fourier Transform (DTFT) is a Taylor series-based extension to Discrete Fourier Transform. It is becoming popular due to its ability to estimate off-nominal frequency phasors accurately, which is lacking in DFT, the conventional technique used in Phasor Measurement Units (PMUs). In light of this, a lucid presentation of the mathematical formulation of DTFT is considered instructive and hence the same is attempted here. Further, the ability of DTFT filter to accurately estimate off-nominal frequency phasors, off-nominal frequency harmonics and exponentially varying sinusoids is illustrated and reasoned out. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2024.
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    Equivalence of Matrix Pencil and HTLS Ring-Down Electromechanical Mode Identification Algorithms
    (Institute of Electrical and Electronics Engineers Inc., 2023) Rao, K.; Shubhanga, K.N.
    Matrix pencil and Hankel total least squares (HTLS) are two popular ring-down electro- mechanical mode identification algorithms. The appeal of these algorithms can be attributed to faster execution due to the non-iterative procedure of model order determination based on singular value decomposition of the data matrix. In this paper, these two algorithms are shown to be equivalent - the data matrix in one being the transpose of that in the other. Although this equivalence is proved in the context of power systems, it is valid for other areas of system identification as well. Further, the performance of these algorithms is examined as noise level in the signal increases, and it is shown that these work right down to an SNR of 1 dB provided the signal has only poorly damped modes. © 2013 IEEE.