A new orthogonal multiplex system

Ballard (1962) has introduced the principles of orthogonal multiplexing. According to these principles, a noninterference between channels is assured if the subcarrier waveforms are chosen from an orthogonal set. Three types of orthogonal functions have been employed, including sine and cosine functions, block pulse functions, and Walsh functions. Attention is given to a model of orthogonal multiplexing, Legendre polynomials, and modified Hermite polynomials. A new type of orthogonal function is also presented. Its construction is similar to Walsh functions. As the new functions close in a certain sense the gap between Walsh functions and block functions, they are called 'bridge' functions. Mathematical expressions and waveforms for bridge functions are discussed.