Multi-carrier modulation and demodulation method of ellipsoidal wave in frequency domain
An ellipsoidal wave and multi-carrier modulation technology, which is applied in the field of information transmission, can solve the problems of high complexity of PSWFs modulation algorithm and limit the application of PSWFs signals, and achieve the effect of optimal system compatibility and reduction of algorithm complexity
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Embodiment 1
[0083] Embodiment 1: Generation of multi-carrier modulation signals in the frequency domain of a single sub-band ellipsoidal wave
[0084] Assuming that the PSWFs signal time-bandwidth product is c, select the c-k branch PSWFs signal for information transmission; on both sides of the center frequency of the sub-band in the frequency domain, intercept c / 2+N P frequency sampling points, that is, using c+2N in the frequency domain P A frequency sampling point represents the PSWFs signal and is used to carry information. Among them, N P , the value of k can be selected according to the requirements of the system on the energy aggregation of the modulated signal, the degree of out-of-band energy leakage, and the PSWFs signal parameters.
[0085] In order to better illustrate the advantages of the present invention, the embodiment uses PSWFs time-domain quadrature modulation (Wang Hongxing, Zhao Zhiyong, Liu Xiguo, etc. Non-sinusoidal time-domain quadrature modulation method: ZL20...
Embodiment 2
[0107] Embodiment 2: Multiple sub-band frequency domain ellipsoidal wave frequency domain multi-carrier modulation signal generation
[0108] According to the signal processing steps of multi-carrier modulation signal generated by frequency domain ellipsoidal wave frequency domain of multiple sub-bands, the relevant parameters are set as follows:
[0109] Number of sub-bands: L=3;
[0110] Ellipse spherical wave signal time width: T = 1s;
[0111] Ellipse spherical wave signal bandwidth: B=36Hz;
[0112] Ellipsoidal wave signal time-bandwidth product: c=BT=36Hz·s
[0113] Complex number field mapping base number: M=4;
[0114] Number of ellipsoidal wave signal channels: c-k=35;
[0115] Number of sampling points in the frequency domain of the ellipsoidal wave signal: N F =3c+2N P =180.
[0116] Under the above conditions, according to figure 1 , image 3 , Figure 4 , follow the steps below to demodulate the PSWFs modulated signal in the frequency domain:
[0117] ①...
Embodiment 3
[0128] Embodiment 3: Frequency domain demodulation of ellipsoidal wave signal
[0129] In order to better illustrate the advantages of the present invention, the embodiment uses PSWFs time-domain quadrature modulation (Wang Hongxing, Zhao Zhiyong, Liu Xiguo, etc. Non-sinusoidal time-domain quadrature modulation method: ZL200810159238.3[P].2011-02-02.) As a comparison. According to the signal processing steps of the frequency domain demodulation method of the multi-carrier modulated signal of the ellipsoidal wave frequency domain, on the basis of Embodiment 1, the relevant parameters are additionally set as follows:
[0130] Channel conditions: additive white Gaussian noise channel (AWGN);
[0131] Transmission information volume: 1×10 7 bit.
[0132] Under the above conditions, the PSWFs modulated signal is demodulated in the frequency domain according to the following steps.
[0133] ① At the receiving end, use the FFT module to obtain the frequency domain signal R(jw) co...
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