UWB signal processing: Projection, B-splines, and modified Gegenbauer bases

Nyquist Zone Index and Chirp Rate Estimation of LFM Signal Intercepted by Nyquist Folding Receiver Based on Random Sample Consensus and Fractional Fourier Transform

“…Moreover, even though one could sample a broadband RF environment at the very accurate Nyquist rate, one would still have the problem of processing and distributing the resulting volume of data. Consequently, researchers have studied many other sampling methods or devices, such as modified Gegenbauer system [5,6], Xampling [7], and analog-to-information converters (AIC) [8,9,10]. As an efficient AIC architecture, the Nyquist folding receiver (NYFR) folds the broadband RF input signal prior to digitization by a low-speed ADC.…”

“…The RF under-sampling frequency modulation induces a Nyquist zone (NZ) dependent modulation on the received signals that allows separation and recovery of the signal information from a sparse broadband RF environment. Compared with the Gegenbauer system [5,6] and many other compress sensing (CS) based architectures [10,11] that require full signal reconstruction, the NYFR basically preserves the signal structure, and the information reconstruction can be relatively simple with conventional signal analysis methods [12].…”

Parameter Estimation of SAR Signal Based on SVD for the Nyquist Folding Receiver

“…Ultra-wideband (UWB) receivers [ 1 ] need to achieve a high-probability reception of input signals over an extremely wide bandwidth. In addition to using ultrafast sampling methods or devices, UWB can be implemented with sub-Nyquist sampling techniques, such as modified Gegenbauer system [ 1 , 2 ], Xampling [ 3 , 4 ], and analog-to-information convertors (AIC) [ 5 , 6 , 7 , 8 ]. Among them, the AIC architecture based on compressive sensing (CS) theory allows sampling of only useful information at lower sampling rates without large hardware scale and has proven to be an effective sampling method for sparse signals.…”

“…The Nyquist Folding Receiver (NYFR) has recently been proposed as a special type of AIC that performs radio frequency (RF) spectrum compression via a periodic non-uniform local oscillator (LOS) and induces a Nyquist zone (NZ)-dependent modulation on the received signal. Unlike the Gegenbauer polynomial method [ 1 , 2 ] or most other CS schemes [ 7 , 8 , 9 , 10 ] that require full signal reconstruction, the NYFR substantially preserves signal structure, and the information reconstruction can be relatively simple using conventional signal analysis methods without sparse recovery.…”