Time-shift immunity for wireless sensor network based on discrete wavelet packets
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Time-shift immunity for wireless sensor network based on discrete wavelet packets C. H. Kizil1
· C. Diou1 · C. Tanougast1
Received: 17 April 2019 / Accepted: 16 June 2020 © Institut Mines-T´el´ecom and Springer Nature Switzerland AG 2020
Abstract Wavelet-based Ultra Wide Band communications rely on receiver collecting data simultaneously from many transmitters and without interference thanks to the orthogonality between primitive wavelet packets. Nevertheless, there is a particular case for which the communication fails. Indeed, the time-shift between primitive wavelet packets results in a loss of the orthogonality of these wavelet packets. This paper proposes an asynchronous Impulse Radio-Ultra Wide Band (IR-UWB) transmission suitable in Wireless Sensor networks without any distinction between the transmitters. The originality of the proposed solution is to ensure a time-shift immunity of IR-UWB receivers by finding the unique combination of shifted primitive packets. For this purpose, finding the one zero result of successive subtractions between received and primitive packets is performed. Considering a given wavelet, the proposed solution is able to decode the shifted-mixed primitive packets from multiple transmitters whatever the time-shift between each packets. Keywords Component · Wavelet · Haar · WSN · Time-shift · IR-UWB
1 Introduction In impulse-radio ultra-wide band (IR-UWB) domain, communications are performed through transmissions of very short pulses, typically of the order of hundreds of picoseconds with a low power spectral density [1, 2]. IR-UWB is well suitable to develop WSN based on wavelet transforms including discrete wavelet packet decomposition. Several applications of wavelets [6] are proposed in various wireless communication systems based on discrete wavelets packet (DWP) communications while mainly focusing on IR-UWB and cognitive radio. In particular, the wavelet packet modulation (WPM) for signal modulation allows to perform a multiple access for networks [8–10]. Similarly, wavelets are used in cognitive radio to perform the dynamic power and bandwidth allocations [11, 12]. The wavelet C. H. Kizil
[email protected] C. Diou [email protected] C. Tanougast [email protected] 1
Universit´e de Lorraine LCOMS, Metz, Lorraine, France
tool also permits to improve classical technologies such as BPSK modulation [13] or FFT blocks in OFDM system [14]. We introduced the utilization of wavelets to transmit data from one transmitter (parallel mode) or from many transmitters (serial mode) to one receiver [19]. These previous works allow us to design an IR-UWB system that provides good performance while maintaining low complexity. Therefore, our proposal IR-UWB serial mode architecture is based on tree of synthesis filter banks (IDWPT) [15] shared fairly between the transmitters. One analysis filter bank (DWPT) performs the reception allowing to receive data simultaneously from the transmitters without interference thanks to the orthogonality
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