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System and method for reconstruction of sparse frequency spectrum from ambiguous under-sampled time domain data

机译:从含糊的欠采样时域数据重建稀疏频谱的系统和方法

摘要

System and method for converting a high bandwidth analog signal to a digital signal including: receiving the high bandwidth analog signal; splitting the high bandwidth analog signal to M parallel channels; delaying the split signal in each channel with N*T delays, respectively; sampling each M delayed signals by M relatively prime sampling rate, wherein the sampling rate for each M delayed signal is smaller than the Nyquist frequency of the high bandwidth analog signal; upsampling each M sampled signal, wherein the upsampling rate for each M sampled signal satisfies the Nyquist frequency of the high bandwidth analog signal; combining the M up sampled signals into a combined signal; and reconstructing the combined signal to generate a digital signal representing the high bandwidth analog signal.
机译:用于将高带宽模拟信号转换为数字信号的系统和方法,包括:接收高带宽模拟信号;以及将高带宽模拟信号拆分为M个并行通道;在每个信道中分别以N * T个延迟来延迟分离信号;以M个相对质数的采样率采样每个M个延迟信号,其中,每个M个延迟信号的采样率小于高带宽模拟信号的奈奎斯特频率;对每个M个采样信号进行上采样,其中,每个M个采样信号的上采样率满足所述高带宽模拟信号的奈奎斯特频率;将M up个采样信号合并为合并信号;重建组合信号以产生代表高带宽模拟信号的数字信号。

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