Output Signal-to-Noise Ratio for a Random-Access Repeater Link with an Ideal Hard Limiter

The acquisition detectability parameter, output signal-to-noise ratio, has been computed for unrestricted random access through an ideal hard limiter. The method involves multidimensional Fourier series and numerical integration. The results depend on the number of active users, total number of users, input signal-to-noise ratio, address code length, cross-correlation properties of code, and other parameters. The method provides a tool for synthesis of randomaccess networks, i.e., satellite repeaters for land, sea, or air-borne transmitters, or mobile radio relays concerned with accidental or intentional interference.