A class of codes for multiple-access satellite communication systems

by P. M. Spira

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A mathematical description of a specific method for allocating time and frequency in communication satellite systems that use time-frequency multiplexing for multiple random access. This method of constructing addresses from a time-frequency matrix can apply to many matrix sizes and many address length. As many addresses as possible are constructed so that no two of them have more than one chip in common. At the same time, for a fixed address length, the number of addresses containing a given chip can be made arbitrarily large and will, in fact, be almost exactly proportional to the number of chips in the time-frequency matrix. A mathematical description of a specific method for allocating time and frequency in communication satellite systems that use time-frequency multiplexing for multiple random access. This method of constructing addresses from a time-frequency matrix can apply to many matrix sizes and many address lengths. As many addresses as possible are constructed so that no two of them have more than one chip in common. At the same time, for a fixed address length, the number of addresses containing a given chip can be made arbitrarily large and will, in fact, be almost exactly proportional to the number of chips in the time-frequency matrix. 33 pp.

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