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APPLICATION OF SEVERAL WAVELETS FOR GENERATING WIDEBAND SIGNALS

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Signal synthesis with the use of a family of b-spline wavelets and Morley wavelets is analyzed on the base of complex-valued matrices with a special form of the autocorrelation function. The limits of applicability of the method for broadband signal synthesis using wavelet functions are Investigated. Conditions on wavelets suitable for synthesis of wideband signals based on complex-valued matrices are formulated. Statistical selection of wavelet used as the base for synthesized signals providing the best form of the autocorrelation function is carried out. Criteria and parameters of the wavelet formation for wideband signals synthesis are presented. The possibility of application of a family of b-spline wavelets and Morley wavelets is established for the case when an effective control of the spectrum of the broadband signal is required. It is shown that application of wavelets for synthesis of sub-noise wideband signals at a fixed frequency-time resource is inappropriate due to substantial nonuniformity of the signal energy distribution.

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