Image Compression using All-optical DCT and DST
193 viewsDOI:
https://doi.org/10.54939/1859-1043.j.mst.82.2022.159-166Keywords:
All-optical discrete cosine transform (DCT); Image processing; Multimode interference coupler; Optical signal processing; Signal processing.Abstract
In this paper, we present a method for realizing all-optical Discrete Sine and Cosine Transform (DST/DCT) for image compression. We show that all-optical DST and DCT can be achieved by using only one 4x4 MMI (multimode interference) coupler at a suitable width and length. The proposed method can process image data at high speed and high bandwidth. We use numerical methods for simulating the whole devices
References
[1]. A. VanderLugt, "Optical signal processing". New York: J. Wiley & Sons, (1992).
[2]. N. B. Le, "Photonic signal processing: techniques and applications". CRC Press, (2007).
[3]. J. W. Goodman, A. R. Dias, and L. M. Woody, "Fully parallel, high-speed incoherent optical method for performing discrete Fourier transforms," Optics Letters, vol. 2, no. 1, pp. 1-3, (1978). DOI: https://doi.org/10.1364/OL.2.000001
[4]. D. G. Sun, N. X. Wang, and L. M. H. e. al., "Butterfly interconnection networks and their applications in information processing and optical computing: applications in fast-Fourier-transform-based optical information processing," Appl. Opt., vol. 32, no. 35, pp. 7184-7193, (1993). DOI: https://doi.org/10.1364/AO.32.007184
[5]. A. E. Siegman, "Fiber Fourier optics," Optics Letters, vol. 26, no. 16, pp. 1215-1217, (2001). DOI: https://doi.org/10.1364/OL.26.001215
[6]. G. Cincotti, "Fiber wavelet filters," IEEE Journal of Quantum Electronics, vol. 38, no. 10, pp. 1420-1427, (2002). DOI: https://doi.org/10.1109/JQE.2002.802974
[7]. M. E. Marhic, "Discrete Fourier transforms by single-mode star networks," Optics Letters, vol. 12, no. 1, pp. 63-65, (1987). DOI: https://doi.org/10.1364/OL.12.000063
[8]. M. S. Moreolo and G. Cincotti, "Fiber optics transforms," in 10th Anniversary International Conference onTransparent Optical Networks (ICTON 2008), Athens. Greece, (2008). DOI: https://doi.org/10.1109/ICTON.2008.4598390
[9]. A. R. Gupta, K. Tsutsumi, and J. Nakayama, "Synthesis of Hadamard Transformers by Use of Multimode Interference Optical Waveguides," Appl. Opt., vol. 42, pp. 2730-2738, (2003). DOI: https://doi.org/10.1364/AO.42.002730
[10]. S. Tseng, Y. Kim, C. J. K. Richardson, and J. Goldhar, "Implementation of discrete unitary transformations by multimode waveguide holograms," Appl. Opt., vol. 45, no. 20, pp. 4864-4872, (2006). DOI: https://doi.org/10.1364/AO.45.004864
[11]. J. Zhou, "Realization of Discrete Fourier Transform and Inverse Discrete Fourier Transform on One Single Multimode Interference Coupler," IEEE Photonics Technology Letters, vol. 23, no. 5, pp. 302 - 304, (2011). DOI: https://doi.org/10.1109/LPT.2010.2101589
[12]. J. Zhou and M. Zhang, "All-Optical Discrete Sine Transform and Discrete Cosine Transform Based on Multimode Interference Couplers," IEEE Photonics Technology Letters, vol. 22, no. 5, pp. 317 - 319, (2010). DOI: https://doi.org/10.1109/LPT.2009.2038713
[13]. L. Almeida, N. Kumar, G. Parca, A. Tavares, A. Lopes, and A. Teixeira, "All-Optical image processing based on integrated optics," 16th International Conference on Transparent Optical Networks (ICTON), vol. DOI: 10.1109/ICTON.2014.6876660, (2014). DOI: https://doi.org/10.1109/ICTON.2014.6876660
[14]. F. P. Sunny, E. Taheri, M. Nikdast, and S. Pasricha, "A Survey on Silicon Photonics for Deep Learning," J. Emerg. Technol. Comput. Syst., vol. 17, no. 4, p. Article 61, (2021). DOI: https://doi.org/10.1145/3459009
[15]. M. Deivakani, S. V. S. Kumar, N. U. Kumar, E. F. I. Raj, and V. Ramakrishna, "VLSI Implementation of Discrete Cosine Transform Approximation Recursive Algorithm," Journal of Physics: Conference Series, vol. 1817, no. 1, p. 012017, (2021), doi: 10.1088/1742-6596/1817/1/012017. DOI: https://doi.org/10.1088/1742-6596/1817/1/012017
[16]. R. Woods, J. McAllister, G. Lightbody, and Y. Yi, "FPGA-based Implementation of Signal Processing Systems". Wiley, (2017). DOI: https://doi.org/10.1002/9781119079231
[17]. M. Bachmann, P. A. Besse, and H. Melchior, "General self-imaging properties in N x N multimode interference couplers including phase relations," Appl. Opt., vol. 33, no. 18, pp. 3905-, (1994). DOI: https://doi.org/10.1364/AO.33.003905
[18]. L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," IEEE Journal of Lightwave Technology, vol. 13, no. 4, pp. 615-627, (1995). DOI: https://doi.org/10.1109/50.372474
[19]. J. M. Heaton and R. M. Jenkins, "General matrix theory of self-imaging in multimode interference (MMI) couplers," IEEE Photonics Technology Letters, vol. 11, no. 2, pp. 212-214, (1999). DOI: https://doi.org/10.1109/68.740707
[20]. J. John, "Discrete Cosine Transform in JPEG Compression," https://doi.org/10.48550/arXiv.2102.06968
