为了减少分数阶Fourier域线性调频(LFM)信号处理的计算量,满足实时性要求,提出了一种新的非均匀采样方法.与传统的非均匀采样方法相比,该方法既解决了整个采样时段内由于过采样造成的数据冗余性,也消除了信号时变特征造成的局部冗余性.最后,应用该方法得到了非均匀采样LFM信号在分数阶Fourier变换域的频谱表达式,并对不同信噪比(SNR)条件下信号的检测概率进行了研究.结果表明,该方法具有较好的抗噪声能力.
In order to reduce the computational quantity of the processing of the LFM signal in fractional Fourier domain and to meet the real-time request, a new nonuniformly sampling method is proposed. Compared to traditional nonuniformly sampling method, this method solves the problem of redundant data due to over-sam- piing in the whole sampling period, and eliminates the partial redundance caused by signal time-variant feature. In the end, the spectrum expression of nonuniformly sampled LFM signal in the fractional Fourier domain is de- rived, and the detection probability of the signal in the case of different SNR is studied. The results show that the method proposed is able to resist noise.