Abstract
The Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time. Hence, different versions of 2-D short time Hartley transforms (STHT) are given in comparison with the short time Fourier transform (STFT). Although the two different versions of STHT defined here with their inverses are equally applicable, one of them is mathematically incorrect/incompatible due to the incorrect definition of the 2-D Hartley transform in literature. These definitions of STHTs can easily be extended to multi-dimensions. Computations of the STFT and the two versions of STHTs are illustrated based on 32 channels (traces) of synthetic seismic data consisting of 256 samples in each trace. Salient features of STHTs are incorporated.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol21iss1pp41-47
- Journal
- Sultan Qaboos University Journal for Science, 21(1), 41
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Sundararajan, N., Ebrahimi, A., & Vasudha, N. (2016). Two Dimensional Short Time Hartley Transforms. Sultan Qaboos University Journal for Science, 21(1), 41. https://doi.org/10.24200/squjs.vol21iss1pp41-47
MLA 9
Sundararajan, Narasimman, et al. "Two Dimensional Short Time Hartley Transforms." Sultan Qaboos University Journal for Science, vol. 21, no. 1, 2016, pp. 41. https://doi.org/10.24200/squjs.vol21iss1pp41-47.
Chicago (author–date)
Sundararajan, Narasimman, A. Ebrahimi, and Nannappa Vasudha. 2016. "Two Dimensional Short Time Hartley Transforms." Sultan Qaboos University Journal for Science 21 (1): 41. https://doi.org/10.24200/squjs.vol21iss1pp41-47.
Harvard
Sundararajan, N., Ebrahimi, A. and Vasudha, N. (2016) 'Two Dimensional Short Time Hartley Transforms', Sultan Qaboos University Journal for Science, 21(1), pp. 41. doi:10.24200/squjs.vol21iss1pp41-47.
Vancouver
Sundararajan N, Ebrahimi A, Vasudha N. Two Dimensional Short Time Hartley Transforms. Sultan Qaboos University Journal for Science. 2016;21(1):41. doi:10.24200/squjs.vol21iss1pp41-47
IEEE
N. Sundararajan, A. Ebrahimi, and N. Vasudha, "Two Dimensional Short Time Hartley Transforms," Sultan Qaboos University Journal for Science, vol. 21, no. 1, pp. 41, 2016, doi: 10.24200/squjs.vol21iss1pp41-47.