Real-valued self-orthogonal finite-length sequences with maximum absolute value less than 2

A finite-length sequence with impulsive auto-correlation function is effective for detecting signal with high resolution in CDMA communications, radar, sonar and so on. A finite-length sequence with zero sidelobe autocorrelation function except at both shift-ends is an ideal pseudonoise sequence and is called the self-orthogonal finite-length sequence or Huffman sequence. This paper presents a set of real-valued self-orthogonal finite-length sequences with maximum absolute value <2. The set includes the reversed sequences and bit-reversed sequences and the member size of a set is nearly 1.3^M for length M. The real-valued sequences can be converted to the integer sequences with less quantization error for a practical application