A New Look at Dct-Type Transforms

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 37, Issue 12, 1989, Pages 1899-1908

  Kou, We1Dong ^a   Mark, Jon W ^b  

^a Department of Electrical Engineering University of Waterloo ^*

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; IMAGE PROCESSING; SIGNAL FILTERING AND PREDICTION; SIGNAL PROCESSING--DIGITAL TECHNIQUES; SPEECH--PROCESSING;

DISCRETE COSINE TRANSFORMS; HDCT ALGORITHM;

MATHEMATICAL TRANSFORMATIONS;

EID: 0024884766     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/29.45536     Document Type: Note

References (30)

1. N. Ahmed, T. Natarajan, and K. R. Rao, “Discrete cosine transform,” IEEE Trans. Comput., vol. C-23, pp. 90-94, Jan. 1974.
2. M. Hamidi and J. Pearl, “Comparison of the cosine and Fourier transform of Markov-1 signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 428-429, 1976.
3. A. K. Jain, “ A sinusoidal family of unitary transforms,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-1, pp. 356-365, 1979.
4. H. Kitajima and T. Shimono, “Some aspects of the Karhunen-Loeve transform,” IEEE Trans. Commun., vol. COM-28, pp. 1773-1776, 1980.
5. R. N. Bracewell, “The fast Hartley transform,” Proc. IEEE, vol. 72, pp. 1010-1018, Aug. 1984.
6. H. B. Kekre, S. C. Sahasrabudhe, and N. C. Goyal, “Image bandwidth compression using Legendre transforms,” Inst. Electron. Telecommun. Eng. J., vol. 28, pp. 51-55, 1982.
7. W. Kou and Z. Hu, “CH transform,” Int. J. Comput. Inform. Sci., vol. 13, pp. 290-307, Aug. 1984.
8. W. Kou, “New orthogonal transform for digital signal processing,” Electron. Lett., vol. 21, pp. 666-667, Aug. 1985.
9. “H/Hand H/h transforms,” Acta Electronica Sinica, vol. 13, no. 6, pp. 118-120, 1985.
10. W. Kou and Z. Hu, “The Rh transform,” in Proc. 1ERE 4th Int. Conf. Digital Processing of Signals in Commun., England, Apr. 1985, pp. 359-365.
11. W. Kou, “A new discrete orthogonal transform constructed by using the H product operation of matrices,” J. China Inst. Commun., vol. 7, pp. 77-81, May 1986.
12. W. Kou and Z. Hu, “Several methods of constructing discrete orthogonal transforms,” Acta Electronica Sinica, vol. 14, pp. 95-102, May 1986.
13. W. Kou, “A transform product code vector quantizer for digital image coding,” in IEEE GLOBECOM'86 Rec., vol. 2, Houston, TX, Dec. 1986, pp. 1170-1173.
14. B. G. Lee, “A new algorithm to compute the discrete cosine transform,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 1243-1245, Dec. 1984.
15. W. H. Chen, C. Smith, and S. C. Fralick, “A fast computational algorithm for the discrete cosine transform,” IEEE Trans. Commun., vol. COM-25, pp. 1004-1009, 1977.
16. W. Kou and J. W. Mark, “Vector-adaptive vector quantization with applications to speech coding,” submitted to IEEE Trans. Commun.
17. M. R. Haralick, “A storage efficient way to implement the discrete cosine transform,” IEEE Trans. Comput., vol. C-25, pp. 764-765, July 1976.
18. B. D. Tseng and W. C. Miller, “On computing the discrete cosine transform,” IEEE Trans. Comput., vol. C-27, pp. 966-968, Oct. 1978.
19. M. J. Narasimha and A. M. Peterson, “On the computation of discrete cosine transform,” IEEE Trans. Commun., vol. COM-26, pp. 934-936, June 1978.
20. J. Makhoul, “A fast cosine transform in one and two dimensions,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 27-34, Feb. 1980.
21. W. Kou and T. Fjallbrant, “Fast computation of transform coefficients of a subajacent block for a transform family,” Linkoping Univ., Sweden, Rep. LiTH-ISY-I-0841, Mar. 1987; submitted to IEEE Trans. Acoust., Speech, Signal Processing.
22. “A fast algorithm for computing DCT coefficients of a signalblock which consists partly of one block and partly of the next consecutive block,” Linkoping Univ., Sweden, Rep. LiTH-ISY-I-0826, Dec. 1986; submitted to IEEE Trans. Acoust., Speech, Signal Processing.
23. T. Fjallbrant, F. Mekuria, and W. Kou, “A voiced/unvoiced classified vector quantized speech transform coder implemented on a TMS32020 signal processor,” in Proc. IEEE ISCASSP 88, vol. 2, Finland, June 1988, pp. 1333-1336.
24. N. S. Jayant and P. Noll, Digital Coding of Waveforms. Englewood Cliffs, NJ: Prentice-Hall, 1984.
25. T. Fjallbrant, W. Kou, and F. Mekora, “ATCVQ system for speech coding, A signal TMS32020 chip implementation,” presented the Italy Int. Conf. Digital Signal Processing, Florence, Italy, 1987.
26. T. Fjallbrant, “A wideband approach to adaptive transform coding of speech signals. A TMS320 signal processor implementation,” in Proc. IEEE ISCASSP'85, Kyoto, Japan, 1985, pp. 321-324.
27. W. Rudin, Real and Complex Analysis, 2nd ed. New York: McGraw-Hill, 1974.
28. H. Kitajima, “A symmetric cosine transform,” IEEE Trans. Comput., vol. C-29, pp. 317-323, Apr. 1980.
29. N. Ahmed and K. R. Rao, Orthogonal Transforms for Digital Signal Processing. New York: Springer-Verlag, 1975.
30. R. J. Clarke, Transform Coding of Images. New York: Academic, 1985.