Performance analysis of a flexible subsampling receiver for pulsed UWB signals

Abstract

Abstract-This paper presents a flexible digital receiver for pulsed Ultra-Wideband (UWB) communications which is sampling below Nyquist rate. This receiver can trade demodulation performance for sampling rate, i.e. power consumption. The bit error rate for pulse amplitude and pulse position modulations is evaluated in AWGN and typical UWB channels. The performance of several types of equalizer is compared, taking into account their implementation complexity. A suboptimal but implementation efficient Minimum Mean-Square Error (MMSE) equalizer which reaches performances similar to the ideal MMSE equalizer is proposed. The impact of imperfect knowledge of the propagation channel and signal-to-noise ratio, due to the limited number of training symbols, on the performance of the receiver is assessed. Finally, the receiver architecture and implementation cost are discussed. The proposed subsampling receiver provides an attractive alternative to classical architectures based on correlation with a template.

Compressive Sampling Based Energy Detection of Ultra-Wideband Pulse Position Modulation

“…Gaussian random variables and the variance of each variable can be given as . Let the noisy estimate of the received signal be defined as (15) and the error in estimating the true signal from this estimate be defined as (16) with denoting the variance of each of its elements. If the above mentioned heuristics are true, then the variance of the elements of the error vector can be tracked by the following state evolution (SE) method for every iteration (17) where the function is defined as (18) where is a vector of zero-mean standard i.i.d.…”

“…The symbol decision is determined by the pulse position that contains most of the energy. Note that different works on CS in combination with UWB signals have appeared recently, e.g., in [15] for coherent receivers, in [16] for symbol-rate sampling but requiring pre-identification of the channel which was then extended to [17] for channel and timing estimation, in [18] for a GLRT based detector which was then extended to [19] with an effective measurement matrix design but both requiring the 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.…”

Compressive sampling based differential detection for UWB impulse radio signals

“…Based on these measurements, the sparse signal is then reconstructed through any sparse recovery method. Since the received UWB signals can be considered sparse, a CS based approach might be very useful here, and this has already been demonstrated for coherent UWB receivers in [13].…”

Low-Sampling-Rate Ultra-Wideband Channel Estimation Using Equivalent-Time Sampling

“…The main challenge in the problem stems from the large bandwidth of the transmitted pulses, which results in an extravagantly high Nyquist sampling rate (equivalent to twice the bandwidth), thus leading to formidable analogue-to-digital converter (ADC) requirements [1]- [3]. Due to the same large bandwidth, a large number of multipath echoes are resolvable [1].…”