Location of Cross-correlation Sidelobes of Pn Sequences
نویسنده
چکیده
In this note, we show how the cross-correlation pattern of certain classes of linear PN sequences may be determined and described as a linear shift register sequence. Knowledge of the location of the correlation sidelobes may then be exploited in the application of these codes to spread spectrum communication systems. As an example of such an application, a characterization of the relative phase of a received code in terms of the pattern of cross-correlation sidelobes with a locally generated code is presented.
منابع مشابه
Implementation of DSSS System using Chaotic Sequence using MATLAB and VHDL
In spread spectrum systems, pseudo-random (PN) sequences are used to spread the data bits. There are various type of PN sequences are available with good correlation properties, most of which are generated by Linear Feedback Shift Register (LFSR). In this paper we describe the generation pseudo chaotic sequences (PCS) and conventional PN sequences and its correlation properties. Here, pseudo-ch...
متن کاملCross-Correlation Distribution of p-Ary m-Sequence and Its p+1 Decimated Sequences with Shorter Period
In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p + 1 distinct decimated sequences s(dt + l) is derived. For an odd prime p, an even integer n, and d = pk + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period pn − 1 because gcd(d, pn − 1) = p + 1. The maximum magnitude of the...
متن کاملInfrared Wireless Communications using Complementary Sequence
The performance of an infrared wireless system using direct sequence spread spectrum techniques in multipath channels depends very much on the partial correlation properties of the spreading sequences used. Ideally, a spreading sequence should have zero sidelobes in its periodic and aperiodic auto-correlation functions in order to eliminate multipath dispersion. Unfortunately, no such ideal seq...
متن کاملA COMPARATIVE STUDY OF CROSS−CORRELATION METHODS FOR ALIGNMENT OF DNA SEQUENCES CONTAINING REPETITIVE PATTERNS (WedPmOR2)
In this work we consider the problem of global DNA sequence alignment. One of the best known and most efficient computational techniques used for this task is the cross−correlation method. We compare efficacy of evaluating periodic DNA sequence misalignment using the standard magnitude−and−phase cross−correlation method with the lesser known phase−only cross−correlation method. We prove that fo...
متن کاملOn the Cross-Correlation Distribution of p-ary m-Sequences
For an odd prime p, an even integer n, and d = p + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period p − 1 since gcd(d, p − 1) = p + 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+ l) is derived. The maximum magnitude Cmax of their ...
متن کامل