Time-Frequency Hop Coding Based Upon the Theory of Linear Congruences

摘要

Time-frequency hop codes are developed based upon the theory of linear congruences. These codes can be used for multiuser radar and asynchronous spread-spectrum communications systems. A uniform upper bound is placed on the crosscorrelation function between any two elements of the code set. The upper bound is minimized by choice of BT-product and is shown to diminish as 2/N, where N is the number of elements in the code set. The size and position of spurious peaks in the autocorrelation functions are discussed. The results are extended to narrowband ambiguity functions. (Author)