Taking a view of pure time field,this paper presents dissolvable signals and basic concepts of sampling;And also gives the very condition of discrete of signal;This paper uses linear algebra to analysis this kind of signal and then gives some results and relevant deductions;Based on these results,1 made a further step to analysis some typical band-limited signals in order to proof the coherence of my Theory of Dissolvable Signal to the typical sampling theory;I made some preliminary study about the feasibility of sampling and recovering of this kind of signal. After the scientific analysis above,we can make the following conclusion:when one of signals in one signal pool can be denoted as the linear sum of existing signals,then the signal pool can be thought as the dissolvable signal pool.

本文从纯时域角度出发，给出了可分解信号及其采样的基本概念；也指出了信号可离散化的条件；利用线性代数理论给出了对这类信号进行采样的分析理论及相应的推论；并用这些结论对典型的带限信号进行了分析，证明可分解信号采样定理与经典采样理论的一致性；初步探讨了对这类信号的实行采样与恢复的工程实现问题。