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Time domain orthogonal wave channel overlapping ellipsoidal wave pulse group design method
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A technology of ellipsoidal surface wave and orthogonal pulse, which is applied to electrical components, transmission systems, etc., can solve problems such as communication systems that cannot use small relative bandwidths, and achieve good power utilization and good energy aggregation.
Active Publication Date: 2012-07-25
中国人民解放军海军航空大学航空作战勤务学院
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[0006] According to the current literature, the orthogonal PSWF pulses obtained by the existing design methods all have large relative bandwidth characteristics, which are only used in ultra-wideband communication systems and cannot be used in small relative bandwidth communication systems.
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Embodiment 1
[0031] Design requirements: In the frequency range of 1000Hz to 1180Hz, design a time-domain orthogonal ellipsoidal wave (PSWF) pulse group, use pulse amplitude modulation information, each pulse carries a symbol, and realize multi-channel parallel transmission of information through this pulse group , to achieve a system unit frequency band utilization rate of 1.6baud / Hz.
[0032] Design analysis: According to the design requirements, the pulse group bandwidth is 180Hz, and the center frequency is 1090Hz. It can be known by calculation that the relative bandwidth is 8.25%, which means that the wideband pulse signal design is required. Adopt the present invention, concrete realization process is as follows:
[0033]① channel division. When the number of channels divided is k=4 and adjacent sub-channels overlap by 50%, then the channel 1000Hz~1180Hz is divided into 4 sub-channels, each sub-channel has the same bandwidth of 72Hz, and they are interleaved by 36Hz. 1 sub-channe...
Embodiment 2
[0043] Design requirements: adjust the signal channel of the orthogonal PSWF pulse group shown in Embodiment 1 to the 200kHz-200.18kHz channel.
[0044] Design analysis: The frequency domain bandwidth of the pulse group remains unchanged, which is still 180Hz, but the relative bandwidth becomes 0.04% at this time, that is, it is required to realize the small relative bandwidth orthogonal pulse group signal design. The specific implementation process is as follows:
[0045] Adjust the frequency domain upper limit and limit parameters of the pulse group, so that f H =200.18kHz, f L =200kHz, system bandwidth B, number of orthogonal pulses M, time bandwidth product C, pulse duration T s constant. The parameter settings of the time-domain orthogonal PSWF pulse group are shown in Table 1.
[0046] Table 1 Time domain quadrature PSWF pulse group parameter setting
[0047]
[0048] According to the steps ①, ②, ③, ④, and ⑤ of the first embodiment, channel division, parameter set...
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Abstract
The present invention provides a method for designing orthogonal spheroidal wave pulse groups with high frequency-band utilization rate, time domain orthogonality, overlapped wave paths. The time-domain orthogonal spheroidal wave pulse groups are designed by the steps of dividing wave paths, setting parameters, solving equations, orthogonalizing Schmidt and the like, the sub-wave paths are overlapped with each other, the system can be provided with a higher frequency-band utilization rate in the premise of a better power utilization rate, especially, when adjacent wave paths are overlapped by50%, the frequency-band utilization rate of the system can reach to the Nyquist rate fleetly.
Description
technical field [0001] The invention relates to a waveform design method in radio communication, in particular to a time-domain orthogonal pulse design method. Background technique [0002] Prolate Spheroidal Wave Functions (PSWF for short) was first proposed by D. Slepian et al. of Bell Laboratories in the early 1960s. This function is concentrated in the time domain and has a limited approximate bandwidth in the frequency domain. It has good energy aggregation and has attracted much attention. However, because the closed-form solution of this function is difficult to obtain, its approximate solution is also very complicated. , limiting the generalization and application of this function. In 2003, Parr B et al. proposed an approximate numerical solution to the ellipsoidal wave function based on eigenvalue decomposition. The algorithm is simple and easy to implement, and the ellipsoidal wave function was introduced into the communication field. [0003] The application of ...
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