This study presents a compressed sensing (CS) based sampling approach for repetitive ultrasonic signal. Proposed system considers recovering ultrasonic signal with high equivalent sampling frequency from samples captured using analog-to-digital converter (ADC) clocked at a rate lower than Nyquist rate. A basis function is constructed to realize ultrasonic signal sparse representation, which pav...

In single-rate systems, only one sampling rate is used throughout a digital signal processing system, whereas in multirate systems the sampling rate is changed at least once. This laboratory deals with the realization and analysis of multirate systems. In the first experiment we will examine the effects of decimation and interpolation. Furthermore, a small multirate signal processing system is ...

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This paper presents the ECG-dedicated algorithm performing the signal sampling at the variable rate. The local value of sampling interval is controlled by the bandwidth function representing the medical data density. The achieved data compression ratio equals 3 and the distortion level is very low. Practical considerations on adaptive antialias filtering and hardware implementation complete the...

Signal processing methods have been changed substantially over the last several decades. Traditional sampling theorem of Shannon-Nyquist states that the sampling rate must be at least twice the maximum frequency presented in the signal; however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small number of significant frequencies relative to the band...

This paper presents an accurate and simple method to evaluate the performance of AD/DA converters affected by clock jitter, which is based on the analysis of the mean square error (MSE) between the reconstructed signal and the original one. Using an approximation of the linear minimum MSE (LMMSE) filter as reconstruction technique, we derive analytic expressions of the MSE. Through asymptotic a...

In this paper, we propose an efficient acquisition scheme for GPS receivers. It is shown that GPS signals can be effectively sampled and detected using a bank of randomized correlators with much fewer chip-matched filters than those used in existing GPS signal acquisition algorithms. The latter use correlations with all possible shifted replicas of the satellite-specific C/A code and an exhaust...

In Bayesian signal processing, all the information about the unknowns of interest is contained in their posterior distributions. The unknowns can be parameters of a model, or a model and its parameters. In many important problems, these distributions are impossible to obtain in analytical form. An alternative is to generate their approximations by Monte Carlo-based methods like Markov chain Mon...

In this paper, we show that signal sampling operation can be considered as a kind of all-pass filtering in the time domain, when Nyquist frequency is larger or equal to maximal spectrum sampled. We demonstrate seemingly obvious observation has wide-ranging implications. They are discussed here detail. Furthermore, discuss also shaping effects occur case under-sampling. That is, smaller than Fur...

This paper is focus on to design a sampling system with minimum sampling rate for signals in the shift invariant Hilbert space. To achieve this goal, we propose a method to calculate the Rate of Innovation (RI) of signals in the Hilbert space. The RI is then used to identify a suitable sampling kernel as well as the sampling rate for a specific signal. We show that the RI of the kernel should b...