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...llenge is the acquisition of the high-resolution ultrashort duration pulses. The emergence of CS theory provides an approach to acquiring UWB pulses, possibly under the Nyquist sampling rate [6, 7].) =-=[8, 9]-=-. In a typical UWB system as shown in Figure 1, one transmitter periodically sends out ultrashort pulses (typically nano- or subnanosecond Gaussian pulses). Surrounding the transmitter, several UWB re...

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...ks to the recent advent of compressed sensing (CS) [12], [13], it is possible to propose the UWB channel recovery method with sub-Nyquist rate sampling. CS has been modeled in UWB systems [14], [15], =-=[16]-=-. The proposed method of this paper is different from previous work in that we model the UWB channel recovery with both first kind and second kind distortions. The proposed sensing method to recover t...

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... transmission of pilot symbols, in [20] for joint time of arrival estimation and data decoding which requires channel estimation, in [21] and [22] to account for narrow-band interference, in [23] and =-=[24]-=- for UWB channel estimation, in [25] for time-delay estimation and in [26] for differential detection of UWB signals. In contrast to previous methods, we present noncoherent UWB detectors. We neither ...

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...e original signal. The sampling rate can therefore be reduced greatly compared with Nyquist rate. The CS theory has been successfully applied in many aspects of communications to reduce sampling rate =-=[4]-=-, [5], [6]. In cognitive radio, the spectrum is sparse in the frequency domain and CS has been applied to overcome the sampling rate problem. Several sampling structures have been proposed [7], [8], [...

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... for UWB systems. Previously, various CS techniques have been explored to address signal reconstruction, channel estimation, and symbol detection issues for only the impulse radio version of UWB [3], =-=[4]-=-. A parallel wideband structure applying CS to analog signals directly has been proposed in [5] to successfully reconstruct orthogonal frequency division multiplexing (OFDM) signals in cognitive radio...

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...us to perform channel estimation with a shorter training sequence. Particularly in the context of UWB communication systems, compressed sensing based channel estimators have been studied in [5], [6], =-=[7]-=-, and [8]. In this term paper, we describe the work carried out in these references. Rest of the paper is organized as follows. System model is explained in Section II. Section III gives a description...

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...em was introduced [6] [7][8][9]. In the last years, matematicians came up with a new revolucionary solution that applied Compressed Sensing to communications [10][11], and more specifically to UWB[12]=-=[13]-=-. Numerous studies have been made about the CS alogrithms applied to communication, describing them in detail: Basis Pursuit[14][15][16][17], Orthogonal Matching Pursuit[18][19] and Stagewise Oothogon...

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...llenge is the acquisition of the high-resolution ultrashort duration pulses. The emergence of CS theory provides an approach to acquiring UWB pulses, possibly under the Nyquist sampling rate [6, 7].) =-=[8, 9]-=-. In a typical UWB system as shown in Figure 1, one transmitter periodically sends out ultrashort pulses (typically nano- or subnanosecond Gaussian pulses). Surrounding the transmitter, several UWB re...