Methods for Synthesis of Almost Perfect and Complementary Phase Manipulated Signals with Lengths N≡2mod4

Mismatched Filters for Processing of Phase Manipulated Signals With Three-Valued Autocorrelation

“…{𝜉𝜉(𝑘𝑘)} 𝑘𝑘=0 8 = {−1,0,0,0,2,0,0,0, −1 }. (11) The reasonability of including the QB signals in the signal family, exploited by the communication devices, will be demonstrated by the means of the QB signal with length 𝑁𝑁 = 43:…”

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“…Due to the above conclusion, most often, the digital signal processing in the receiver of a radar can be described by the following polynomial model [5], [6]:…”

“…consists of the samples of the digitalized echo-signal. As the echo-signal is produced by reflection of the probe signal from the surface of some object, the echo-signal is a diminished copy of the probe signal of the radar transmitter [3], [5], [6]. Due to this reason, the samples (2) are complex numbers, presenting the complex envelopes of the elementary phase symbols (or chips) with duration 𝜏𝜏 𝑐𝑐ℎ , forming the probe signal.…”

“…Now it should be taken in consideration, that performance quality of the radar sensor networks is worsened mainly by the SIs and MAIs [3], [4], [5], [6].…”

“…Accounting this situation in the paper a method for synthesis of families of phase manipulated (PM) signals with optimal correlation properties is proposed. The method could be used in the development of new radar sensor networks, in which deleterious effect of the self-interferences (SIs) and multiaccess interferences (MAIs), caused by the multipath radio waves propagation and by the simultaneous use of the communication channel by many users respectively, is minimal [3], [5], [6].…”