The concept of frequency transfer function plays a fundamental role in characterizing a linear digital signal processor's dynamical behavior. Invariably, the input number sequence to be operated upon is assumed to have originated through the process of uniformly sampling a continuous-time signal. It is then only natural that most studies related to a linear digital signal processor's transfer function are based upon the uniform sampling model. In a variety of very important applications, however, the number sequence to be processed i s generated by a nonuniform sampling scheme. For example, in radar signal processing, stagger sampling is often used in order to reduce the effects of the so-called "blind ve1ocity"phenomenon (e.g., see refs.[I1 - [SI).With this in mind, it would be desirable toexplore the possibility of developing a general transfer function concept which would be applicable to nonuniformly sampled signals. In the next section, this development will be carried out. This in turn will be followed by a Fourier analysis which will yield useful insights into the underlying operations. In particular, it will be shown that the utilization of simple stagger sampling imposes rather restrictive constraints on the linear processor's frequency response characteristics. These concepts will be illustrated by means of a high pass filter synthesis.