POLYPHASE SEQUENCES ANALYSIS WITH GOOD MERIT FACTOR AND CORRELATION PROPERTIES

Abstract

Polyphase sequences such as Pn (n = 1, 2, 3, 4, x), Frank, Golomb, the Chu with large Merit factor and correlation properties are helpful in applications like RADAR, SONAR, channel estimation and communications. The Correlation function of a given sequence expressed by integrated sidelobe level (ISL). The ISL related metrics minimized by improving the performance parameters Merit Factor (MF) and Modified Merit Factor (MMF). In this paper, the merit factors are compared with all sequences for the usual case and considering the Weights (ones and zeros throughout the sequence length) from 102 to 103~4 . The observation is made for four consecutive even, and odd square integer lengths say 162 , 172 , 182 , and 192 . The Px sequence exhibits the best merit factor among all Polyphase sequences. P2 sequence existed only for even square integer length when no weights applied. P1, Px, Frank sequences shows the good MMFs among all Polyphase sequences. For the possible lengths, the Elapsed time is more for MF than MMF except at four consecutive even and odd square integer lengths.

Keywords

• Autocorrelation level
• Integrated sidelobe level
• Merit factor
• Modified merit factor
• Polyphase sequences