Method and device for designing and optimizing multi-degree-of-freedom frequency-modulation signal

A device for designing and optimizing a multi-degree-of-freedom frequency-modulation (FM) signal, comprising:

• a processor;
• and
• a memory storing instructions, which, when executed by the processor, cause the processor to execute operations comprising:
• determining a time domain function of the multi-degree-of-freedom FM signal;
• establishing a constraint condition and an objective function for optimizing the multi-degree-of-freedom FM signal;
• and determining an algorithm model of an augmented Lagrangian genetic algorithm based on the constraint condition and the objective function;
• initializing characteristic parameters of a first iteration of the algorithm model, wherein the characteristic parameters of the first iteration at least comprise a Lagrange multiplier of the first iteration and an offset of the first iteration;
• acquiring an initialization signal of the multi-degree-of-freedom FM signal, and determine initialization frequency control points of the initialization signal based on the initialization signal;
• calculating fitness of the initialization frequency control points, a Lagrange multiplier of a second iteration and an offset of the second iteration based on the characteristic parameters of the first iteration and the initialization frequency control points by using the algorithm model;
• determining frequency control points of the second iteration from the initialization frequency control points based on the fitness by using selection strategy;
• determining frequency control points of a third iteration based on the frequency control points of the second iteration, the Lagrange multiplier of the second iteration and the offset of the second iteration by using the algorithm model and the selection strategy;
• continuously performing iterations of the Lagrange multiplier and the offset based on the algorithm model and the selection strategy, until the augmented Lagrangian genetic algorithm converges to obtain an optimized multi-degree-of-freedom FM signal;
• and
• performing signal transmission by adopting the optimized multi-degree-of-freedom FM signal.

A non-transitory computer-readable storage medium having stored thereon computer-executable instructions, which when being executed by a processor, to execute operations comprising:

• determining a time domain function of the multi-degree-of-freedom frequency-modulation (FM) signal;
• establishing a constraint condition and an objective function for optimizing the multi-degree-of-freedom FM signal;
• determining an algorithm model of an augmented Lagrangian genetic algorithm based on the constraint condition and the objective function;
• initializing characteristic parameters of a first iteration of the algorithm model, wherein the characteristic parameters of the first iteration at least comprise a Lagrange multiplier of the first iteration and an offset of the first iteration;
• acquiring an initialization signal of the multi-degree-of-freedom FM signal, and determining initialization frequency control points of the initialization signal based on the initialization signal;
• calculating fitness of the initialization frequency control points, a Lagrange multiplier of second iteration and an offset of the second iteration based on the characteristic parameters of the first iteration and the initialization frequency control points by using the algorithm model;
• determining frequency control points of the second iteration from the initialization frequency control points based on the fitness by using a selection strategy;
• determining frequency control points of a third iteration based on the frequency control points of the second iteration, the Lagrange multiplier of the second iteration and the offset of the second iteration by using the algorithm model and the selection strategy;
• continuously performing iterations of the Lagrange multiplier and the offset based on the algorithm model and the selection strategy until the augmented Lagrangian genetic algorithm converges to obtain an optimized multi-degree-of-freedom FM signal;
• and
• performing signal transmission by adopting the optimized multi-degree-of-freedom FM signal.