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Bandpass pseudo prolate shift frames and Riesz bases

机译:BandPass伪随机移位框架和Riesz基地

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We investigate frames and Riesz bases for the space of square-integrable functions on the line whose Fourier transforms are supported on the union of two disjoint intervals (bandpass signals). By suitably modulating a frame (resp. Riesz basis) for the Paley-Wiener space PW_Ω which is generated by the shifts of prolate spheroidal wave functions, we generate frames (reps. Riesz bases) for the bandpass space, and show that the frame (resp. Riesz) bounds are the same as those of the baseband frame (resp. Riesz basis).
机译:我们调查框架和RIESZ基站,用于在两个不相交间隔(带通信号)的联轴上支持傅立叶变换的线路上的方形积分功能的空间。通过适当地调制帧(RESIESZ基础)对于Paley-Wiener SpacePW_ω,这是由Hargate球波函数的偏移产生的,我们为带通空间生成帧(REIESZ基础),并显示框架( RESP。RIESZ)边界与基带帧(RESP.RIESZ基础)的相同。

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