The common approaches to sample a signal generally follow the well-known Nyquist-Shannon’s theorem: the sampling rate must be at least twice the maximum frequency presented in the signal. A new emerging field, compressed sampling (CS), has made a paradigmatic step to sample a signal with much less measurements than those required by the Nyquist-Shannon’s theorem when the unknown signal is spars...

Processing, storing and communicating information that originates as an analog signal involves conversion of this information to bits. This conversion can be described by the combined effect of sampling and quantization, as illustrated in Fig. 1. The digital representation is achieved by first sampling the analog signal so as to represent it by a set of discrete-time samples and then quantizing...

To achieve the performance required of the latest generation of wireless access, DOCSIS, and a plethora of other radio applications, direct RF-sampling technology holds the promise of increased flexibility and higher performance. Direct RF-sampling provides the flexibility by moving much of the RF signal processing into the digital domain, thereby eliminating much of the analog signal processin...

Random equivalent sampling (RES) can composite a waveform with high equivalent sampling rate from multiple low speed sampling sequences. In practical application, the performance of RES signal reconstruction would be degraded by the non-uniform distribution of sampling time. Compressed sensing (CS) theory is adopted to reconstruct RES samples, which could mitigate the inherent coherence of samp...

We consider sampling discrete-time periodic signals which are piecewise bandlimited, that is, a signal that is the sum of a bandlimited signal with a piecewise polynomial signal containing a finite number of transitions. These signals are not bandlimited and thus the Shannon sampling theorem for bandlimited signals can not be applied. In this paper, we derive sampling and reconstruction schemes...

The compressive sensing method is an effective way of under-sampling array signal processing, and the measurement matrix a key technology which decisive significance to improve performance processing. In this paper, processing based on improved Hadamard was proposed. This construction by compressing zero capable reducing redundant data, enhancing non-correlation between columns, improving RIP c...