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Title:
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Design of Linear Phase Cosine Modulated Filter Banks for Subband Image Compression |
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Author:
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Odegard, Jan E.; Gopinath, Ramesh A.; Burrus, C. Sidney
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Type:
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Tech Report |
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Keywords:
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filter banks |
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Citation:
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J. E. Odegard, R. A. Gopinath and C. S. Burrus, "Design of Linear Phase Cosine Modulated Filter Banks for Subband Image Compression," Rice University CML Technical Report, 1994. |
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Abstract:
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Wavelet methods give a flexible alternative to Fourier methods in non-stationary signal analysis. The concept of band-limitedness plays a fundamental role in Fourier analysis. Since wavelet theory replaces frequency with scale, a natural question is whether there exists a useful concept of scale-limitedness. Obvious definitions of scale-limitedness are too restrictive, in that there would be few or no useful scale-limited signals. This paper introduces a viable definition for scale-limited signals, and shows that the class is rich enough to include bandlimited signals, and impulse trains, among others. Moreover, for a wide choice of criteria, we show how to design the optimal wavelet for representing a given signal, and how to design robust wavelets that optimally represent certain classes of signals. |
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Date Published:
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1994-01-15 |
