Abstract
In this work we describe a reconstruction algorithm for zero-order hold (ZOH) waveforms measured by a parallel sam-pling scheme. In the method the ZOH signal is fed to a parallel network consisting of resistor-capacitor (RC) filters, whose outputs are sampled simultaneously. The algorithm reconstructs N previous samples of the input signal from output samples of N parallel RC circuits. The method is especially useful in sampling and reconstruction of the ZOH signals produced by the digital-to-analog converters. Using the parallel sampling method the sampling rate of the analog-to-digital converters can be increased by a factor of N. We discuss a variety of applications such as reconstruction of ZOH pulse sequences produced by ultra wide band (UWB) transmitters.
Highlights
The present sampling methods are based on the Shannon’s famous theorem [1], which concerns the sampling of the band-limited signals at equidistant time intervals
In this work we describe a reconstruction algorithm for zero-order hold (ZOH) waveforms measured by a parallel sampling scheme
In our earlier work [7] we described a new measurement and sampling concept, which permits the reconstruction of short term transient signals
Summary
The present sampling methods are based on the Shannon’s famous theorem [1], which concerns the sampling of the band-limited signals at equidistant time intervals. The analog-to-digital converters (ADCs) have a limited conversion time, which is not sufficient for sampling of the short term transients. In FRI methods the transient signal is fed to an analogue network, which broadens the signal for sampling with an ADC. In our previous work [7] we introduced a new method for sampling and reconstruction of continuous transient waveforms. We observed that in reconstruction of transient pulse sequences, the Riemann sum is too rough estimate for the convolution integral. We describe the parallel RC network, develop the reconstruction algorithm and describe potential applications of the parallel sampling scheme
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