The invention discloses a waveform synthesis method for a directional diagram provided with a notch and solves the problem that a directional diagram of an existing transmitting
signal can not form anotch in an interference direction. According to an implementation scheme, the method comprises the following steps: firstly, finding an optimal
covariance matrix and an interference subspace of a transmitting
signal, and constructing a cost function of the directional diagram provided with the notch; secondly, converting the cost function into an unconstrained function by adopting a sequential unconstrained minimization method; thirdly, optimizing an unconstrained function by adopting a block
gradient descent method, thus a final cost function is obtained; fourthly, solving the final cost function, thus a closed-
form solution is obtained; fifthly, correcting an initial transmitting
signal by using the closed-
form solution, thus a corrected transmitting signal matrix is obtained; and sixthly, judging whether a corrected transmitted waveform meets anti-interference conditions, if the corrected transmitted waveform meets the anti-interference conditions, taking the corrected transmittedwaveform as a transmitted waveform of a
radar, and if the corrected transmitted waveform does not meet the anti-interference conditions, taking an optimized transmitting signal as the initial transmitting signal, and returning to the step 5 and continuously iterating. The method disclosed by the invention can synthesize a constant modulus transmitted waveform of the directional diagram provided with the notch and can be used for design of the transmitted waveform.