Elliptical spherical wave function signal orthogonalization method based on odd-even symmetry

Abstract

The invention provides an ellipse spherical wave function signal orthogonalization method based on odd-even symmetry, and belongs to the technical field of information transmission. The ellipse spherical wave function signal orthogonalization method based on odd-even symmetry comprises the steps: on the basis of the characteristic that odd symmetry and even symmetry signals are mutually orthogonal, according to the odd-even symmetry of the signals, dividing the signals needing orthogonalization processing into two groups of odd symmetry signals and even symmetry signals; carrying out orthogonalization processing on odd-symmetry and even-symmetry signal groups by utilizing a half symbol period signal waveform, and carrying out symmetric expansion on the orthogonalized signals to obtain the whole symbol period signal waveform so as to complete orthogonalization processing on all the signals. Compared with an original ellipse spherical wave function signal orthogonalization method, the method has the advantages that the number of signal paths and the number of signal sampling points participating in orthogonalization processing in each group can be effectively reduced, and the signal orthogonalization processing complexity can be reduced from O (QN2) of the original orthogonalization method to O (QN2 / 4) on the premise that signal power spectrum characteristics and orthogonality are not reduced.

Description

technical field [0001] The present invention relates to radio communication technology, and more specifically, the present invention relates to a method for orthogonalizing ellipsoidal wave function signals based on odd-even symmetry, which belongs to the field of information transmission technology. Background technique [0002] Prolate Spheroidal Wave Functions (PSWFs), as a special kind of non-sinusoidal wave functions, have no closed form analytical solutions, and are usually generated by numerical solutions in practical applications. At the same time, since the PSWFs signal is a non-periodic signal, in order to ensure the accuracy of the numerical solution, its time-domain sampling frequency is usually higher than the Nyquist sampling frequency, and the complexity of the numerical solution is exponentially related to the number of sampling points, and the system complexity is high, especially for Large time bandwidth product PSWFs signal. This undoubtedly increases the...

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Problems solved by technology

However, due to the introduction of orthogonal processing, and the computational complexity of this method is proportional to the square of the number of signal channels involved in orthogonal processing, and the number of signal channels corresponding to a large time-bandwidth product is large, the corresponding system complexity is high. This severely limits the generation of large time-bandwidth product PSWFs signals and their engineering applications

It can be said that the high complexity of PSWFs signal orthogonalization processing has become one of the problems that severely limit the engineering application of large time-bandwidth product PSWFs signals

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