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Construction of Zero Autocorrelation Stochastic Waveforms

Construction of Zero Autocorrelation Stochastic Waveforms
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摘要 Stochastic waveforms are constructed whose expected autocorrelation can be made arbitrarily small outside the origin. These waveforms are unimodular and complex-valued. Waveforms with such spike like autocorrelation are desirable in waveform design and are particularly useful in areas of radar and communications. Both discrete and continuous waveforms with low expected autocorrelation are constructed. Further, in the discrete case, frames for Cd are constructed from these waveforms and the frame properties of such frames are studied. Stochastic waveforms are constructed whose expected autocorrelation can be made arbitrarily small outside the origin. These waveforms are unimodular and complex-valued. Waveforms with such spike like autocorrelation are desirable in waveform design and are particularly useful in areas of radar and communications. Both discrete and continuous waveforms with low expected autocorrelation are constructed. Further, in the discrete case, frames for Cd are constructed from these waveforms and the frame properties of such frames are studied.
出处 《Advances in Pure Mathematics》 2012年第6期428-440,共13页 理论数学进展(英文)
关键词 AUTOCORRELATION FRAMES STOCHASTIC WAVEFORMS Autocorrelation Frames Stochastic Waveforms

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