The Method of Increasing for the Noise Immunity of Information Transmission Systems

The paper substantiates the method of orthogonalization of linearly independent functions based on the calculation of the orthogonality weight. The form of orthogonal functions does not differ from the form of the original functions. Synthesis of optimal receivers is carried out based on the criterion of minimum noise variance at the receiver output for a fixed reference value of the useful signal. In the case of non-white noise, op-timal receivers have a finite gain in the entire operating frequency band. To combat intersymbol interference and interchannel interference when minimizing the interference variance, the orthogonality conditions with the weight of channel symbols of the main and adjacent channels adjacent to the received channel symbol are taken into account. A correlator with a discrete reference signal is used as a nonlinear optimal receiver. The criterion of optimality of a nonlinear receiver is also the criterion of minimum interference variance at the receiver output for a fixed reference value of the useful signal.

本论文论证了基于正交权重（orthogonality weight）计算的线性独立函数（linearly independent functions）正交化方法，所得正交函数的形式与原始函数完全一致。本研究基于固定有用信号参考值下接收机输出端噪声方差最小的准则，开展最优接收机的综合设计。针对非白噪声（non-white noise）场景，最优接收机在全工作频段内可获得有限增益。为在最小化干扰方差的过程中抑制码间串扰（intersymbol interference）与信道间干扰（interchannel interference），需考虑与接收信道符号相邻的主信道及邻道的信道符号权重对应的正交条件。本研究采用带离散参考信号（discrete reference signal）的相关器（correlator）作为非线性最优接收机（nonlinear optimal receiver），该非线性接收机的最优性准则同样为固定有用信号参考值下接收机输出端干扰方差最小的准则。