Odegard, Jan E.Gopinath, Ramesh A.Burrus, C. Sidney2007-10-312007-10-311994-01-152002-09-23J. E. Odegard, R. A. Gopinath and C. S. Burrus, "Design of Linear Phase Cosine Modulated Filter Banks for Subband Image Compression," <i>Rice University CML Technical Report,</i> 1994.https://hdl.handle.net/1911/20169Tech ReportWavelet 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.engfilter banksFilter BanksReportfilter banks