Compressive sampling based differential detection for UWB impulse radio signals

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

“…This is in contrast to the GML detector proposed in [12] for the Nyquist-rate sampled signal, which consists of first squaring and then averaging. For the reconstructed samples, it can be formulated as (26) We refer to (26) as the spreading-factor dependent energy detector for the reconstructed samples (SR-ED). Replacing the reconstructed samples with the Nyquist-rate samples leads to the spreading-factor dependent Nyquist-rate energy detector (SN-ED) [12].…”

“…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.…”

“…Most of the previous methods also require signal reconstruction whereas, we present a method which skips this step altogether. Note that previous examples of detection with compressed symbols can be found in [26] and [27].…”

Map based differential detectors for compressed UWB impulse radio signals

“…The exact solutions to both the SC-DD and DC-DD (under the rubric of differential elastic net (DEN)), based on pathwise coordinate descent methods [10], are provided in [11]. We shall compare the performance of these methods with our compressed MAP based DD.…”

Compressive Sampling-Based Multiple Symbol Differential Detection for UWB Communications

“…A simpler yet performance competitive implementation, consists of combining the CS framework with noncoherent detection, as illustrated in [34]- [37]. In [34], noncoherent receivers for differentially encoded UWB signals are designed exploiting the CS techniques.…”