Abstract: Deceptive jamming as a typical active jamming, produces false target on the range dimension or Doppler dimension, which increases probability of false alarm and significantly degrade the performance of radar. This paper is focused on the joint design of pulse amplitude and phase against velocity deceptive jamming. In particular, a design criterion incorporating a weighted sum of jamming energy and target sidelobe energy in the stopband is developed to minimize under phase quantized and peak-to-average power ratio (PAR) restriction. To tackle the resulting non-convex optimization problem, a new inexact alternating direction penalty method (IADPM) is proposed based on the ADPM framework and the computational complexity is analyzed. Finally, numerical results are provided to demonstrate the effectiveness of the proposed methodology.