A Digital Communication Method Using Non-orthogonal Pulses
A communication method and non-orthogonal technology, applied in transmission systems, electrical components, etc., can solve problems such as signal waveform optimization design
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Embodiment 1
[0068] Embodiment 1: Construction of non-orthogonal PSWF pulse group
[0069] Design requirements: Design 16 non-orthogonal ellipsoidal wave (PSWF) pulse groups within the frequency range of 200kHz to 200.18kHz. The parameter settings of the pulse sets are shown in Table 1.
[0070] Table 1 PSWF pulse set parameter settings
[0071]
[0072] Specific implementation steps:
[0073] ①Divide channel B=180Hz into 4 sub-channels with the same bandwidth and overlapping 50% of each other, each sub-channel (sub-band) has the same bandwidth of 72Hz and interleaves with each other by 36Hz;
[0074] ② According to the channel division and the time-bandwidth product c=4π of the PSWF pulse, determine the duration of the PSWF pulse T=c / 2πB=27.78ms and the number of pulses in each sub-channel N=4;
[0075] ③In each channel, according to the spectrum range of each pulse [f l , f h ] and duration T, construct the integral equation shown in formula (15), carry out the discretization samp...
Embodiment 2
[0076] Embodiment 2: Selecting an appropriate non-orthogonal transmission pulse according to the reliability and effectiveness index of a certain communication system
[0077] Design requirements: the transmission frequency band is [50,60]MHz, the spectral efficiency is greater than 7bit / s / Hz, at BER=10 -5 E required in case b / N 0 ≤20dB, using non-orthogonal PSWF pulse group to transmit information;
[0078] The specific implementation process is as follows:
[0079] ① The four parameters of the non-orthogonal PSWF pulse group are: the number of sub-bands M, the spectral overlap λ of adjacent sub-bands, the number of pulses in a single sub-band N and the time-bandwidth product c of the pulses. The combination of these four parameters The feasible region of is 1≤M≤M max ,2≤c≤c max ,c≤N≤2c-2,λ min ≤λ≤λ max ,MNmax Among them, M and N are positive integers. According to the specific parameters of the given communication index, in order to reduce the search complexity, dete...
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