Minimum peak sidelobe pulse compression codes

The length 40 to 48 minimum peak sidelobe (MPS) codes have been discovered and enumerated. This discovery was made possible by utilizing innovative, recursive algorithms that make it unnecessary to search large numbers of the 2^N code possibilities while retaining the efficacy of an exhaustive search. It is noted that there are no length 49 or 50 biphase codes with peak sidelobes of three or less. The discovered MPS codes are analyzed for: (1) various properties such as Doppler tolerance and integrated sidelobe levels relating to pulse compression performance, and (2) various properties that might provide clues for finding longer, well-behaved codes. It is shown that one can obtain about ±10^° per pulse of improved Doppler tolerance by a judicious choice of code