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亚奈奎斯特采样在多频带模拟信号中的应用--用于降低采样率和计算量-Sub-Nyquist sampling analog signals in a multi-band applications- used to reduce the sampling rate and computation
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This package contains scr ipt to calculate aliasing for given time domain signal. scr ipt to plot in time domain the function: x(t)=A0cos(2pif0t)+A1cos(2pif1t)
where fs1=300 Hz and fs2=150 Hz (sampling rate)
A0 and A1 are amplitude s signal (a
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Modulation is a process by which a carrier signal is altered according to information in a message signal. The carrier frequency, denoted Fc, is the frequency of the carrier signal. The sampling rate is the rate at which the message signal is sampled
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经典的香农采样定理认为,为了不失真地恢复模拟信号,采样频率应该不小于奈奎斯特频率(即模拟信号
频谱中的最高频率)的两倍.但是其中除了利用到信号是有限带宽的假设外,没利用任何的其它先验信息.采集到
的数据存在很大程度的冗余.Donoho等人提出的压缩感知方法(Compressed Sensing或Compressive Sampling,
CS)充分运用了大部分信号在预知的一组基上可以稀疏表示这一先验信息,利用随机投影实现了在远低于奈奎斯
特频率的采样频率下对压缩数据的直接采集.该
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For a function that varying with time s(t) be a continuous function to be sampled, and sampling be performed by measuring the value of continuous function every T seconds, which is called sampling interval. This sampled function is given by S(nT),for
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The Shannon/Nyquist sampling theorem tells us that in order to not lose information when uniformly
sampling a signal we must sample at least two times faster than its bandwidth. In many
applications, including digital image and video cameras, the
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