Essay heading: A wavelet transform approach to the design of complementary sequences for communications

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March 15, 2008






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Daubechies that orthogonal filter banks provide orthogonal bases for the Hilbert space of square-summable sequences stimulated a tremendous research activity in the area. Furthermore I. Daubechies showed that provided the filters satisfy constraints additional to PR, regular (or smooth) continuous-time functions (scaling functions and wavelets) can be obtained, which are orthogonal bases for the space of square-integrable functions [5]...
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We shall consider one important class of sequences, namely complementary sequences. These sequences were recently found to be efficient in a new modulation for wireless communications, called spread-signature CDMA [10]. The connection between two-channel orthogonal FIR filter banks and aperiodic complementary sequences was observed by several researchers [7, 9] and is not novel...
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