Finite-length sequence pair with impulsive correlation function

A pair of finite-length sequences whose convolution is impulsive except at left and right shift ends is introduced. The pair is solved by Fourier spectra of sequences and has manifold aspect in values and lengths of sequences. A pair of sequences with different lengths is generated and referred to process gain in a CDMA system. Orthogonal set of sequence pairs with fast signal processing algorithm is synthesized.