Abstract
Finite length of sequences that are modulated both in phase and amplitude and have an ideal autocorrelation function (ACF) consisting of merely a pulse have many applications in control and communication systems. They are widely applied in control and communication systems, such as in pulse compression systems for radar and deep-space ranging problems [1-5]. In radar design, the important part is to choose a waveform, which is suitable to be transmitted because the waveform controls resolution in clutter performance. In addition, it can solve a general signal problem particularly related to the digital processing. Energy ratio (ER), total side lobe energy (SLE), and peak sidelobe level (PSL) are three properties of such sequences interest. This paper presents a method using the Complementation, Cyclic Shift and Bit Addition for synthesizing and optimizing a binary sequence implemented to improve the sequences of a similar quality with the Barker sequence, particularly for lengths greater than 13. All of these methods are guided by the specific parameter with good characteristics in ACF (ER, SLE, and PSL) [6,7,8]. Such sequences can then be effectively used to improve the range and Doppler resolution of radars.
Highlights
Sequences with low autocorrelation side lobe levels are useful for channel estimation, radar and spread spectrum communication applications
Binary sequences with a good periodic autocorrelation functions (ACFs) with low range side lobes are required for many communication applications
Side lobe Energy Side lobe Energy the lowest value in binary sequences is in their length
Summary
Sequences with low autocorrelation side lobe levels are useful for channel estimation, radar and spread spectrum communication applications. Sequences achieving the minimum peak autocorrelation side lobe level one are called Barker Sequences. A Barker sequence is a finite length binary sequence with the minimum possible autocorrelation. Barker sequences are used as the best sequences in the highest ER. Binary sequences were initially investigated for the purpose of pulse compression in radar systems. This method results in better range and Doppler resolution without the need to shorten a radar pulse nor increase the power [11,12]
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