Alternative Zero Codebooks for MOCZ with Reduced PAPR

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Modulation over conjugate-reciprocal zeros (MOCZ) is a noncoherent modulation scheme proposed for short-packet communication. In this paper, we first derive a closed-form expression for the peak-to-average power ratio (PAPR) of binary Huffman MOCZ. We propose new rotated and skew Huffman zero codebooks by modifying the plain Huffman one. Then we combine the plain, rotated, and skew Huffman zero codebooks to obtain a mixed Huffman MOCZ scheme that yields large savings in PAPR. For an 8-bit mixed Huffman MOCZ with outer radius <italic>R</italic> = 1.1791, a 38% reduction in PAPR is achieved by choosing an angle parameter &#x03B8; = 60&#x00B0; for the 4 bit skew Huffman component.

Original languageEnglish
Number of pages5
JournalIEEE Communications Letters
Publication statusAccepted/In press - 2 May 2024


  • Estimation
  • MOCZ
  • noncoherent
  • PAPR
  • Peak to average power ratio
  • peak-to-average power ratio
  • Polynomials
  • short-packet communication
  • Signal to noise ratio
  • Structural rings
  • Timing
  • Vectors

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