The radar signal design and signal processing are investigated comprehensively to obtain the optimum statistical pulse compression characteristics （SPCC）. First

the SPCC of a code set with L codes is studied that is obtained by truncating a cyclic PN code in a fixed step length with the truncated length L being equal to the code length of the cyclic PN code and transmitted in turn to implement the code agile in pulse-to-pulse （CAPP）. The general expressions of SPCC for the kind of codes mentioned above are derived. The peak ratio of main-lobe to side-lobe （RMS） of SPCC within the pulse repetition period （PRP）

refered to as RMS in the near region

is greater than L

but is very small outside the PRP which is refered to as RMS in the far region. Next

in order to improve the RMS of SPCC in the far region for the code set mentioned above

a code set truncated from a cyclic PN code in a stochastic step length is proposed with the truncated length L. Although these agile codes have a good RMS of SPCC in the far region compared with previous one

however

the agile fashions in this manner are very few than that in a fixed step length. Finally

a new kind of pulse-to-pulse agile codes （NKPPAC） and their SPCC are investigated by means of the computer simulation. The RMS in the near region for the NKPPAC is the same with that one the truncated PN code set had given

and in the far region is also greater than L except a very few code sets with particular code length L in the particular agile step length. Even so in the last case the difference of RMS of SPCC in the far region from L is also very small. If the code length L is sufficiently large

the high RMS of SPCC required can be achieved without weighted processing. This will lead to simplify the hardware for engineering implementation. It is proved by the hardware experiment that the generators of this NKPPAC are very simple

which is expected for engineering applications.