The invention discloses a complementary waveform construction method and module, a 
cognitive radar system and a waveform emission method, solves the problem that an existing complementary waveform construction method cannot provide enough and flexible 
Doppler tolerance, and belongs to the technical field of 
radar emission. The waveform construction method comprises the steps of determining input parameters according to requirements, and constructing a constant vector and a constant matrix; under given high-order 
Doppler frequency spectrum zero constraint and 
energy constraint, constructing a constraint 
optimization problem by taking maximization of similarity between a received pulse weight and a given 
window function as an optimization target; solving to obtain a transmitting sequence vector and a receiving pulse weight vector, and further constructing a transmitting pulse string and a receiving reference 
signal to complete complementary waveform construction. According to the method,a complementary waveform construction module is obtained by using a computer, a 
cognitive radar system is formed by combining the 
radar and the waveform, and the waveform transmitting method can intelligently select to transmit a common pulse string and a Doppler-tolerant complementary waveform pulse string to realize target detection.