  In this survey a novel system, called the oscillator system, consisting of
order of p^3 functions (signals) on the finite field F_{p}, is described and
studied. The new functions are proved to satisfy good auto-correlation,
cross-correlation and low peak-to-average power ratio properties. Moreover, the
oscillator system is closed under the operation of discrete Fourier transform.
Applications of the oscillator system for discrete radar and digital
communication theory are explained. Finally, an explicit algorithm to construct
the oscillator system is presented.
