The resolution of ADCs (Analog-to-Digital Converters) can be improved by dithering, i.e. by intentionally injecting white noise into the analog signal. This work describes the theory behind dithering, how to optimize the magnitude of the noise and also a design that illustrates how dithering can be implemented to increase the resolution of a microcontroller’s ADC. In order to demonstrate the po...

The problem of oversampling parameter estimation for noisy sinusoidal signals is addressed. We first extend the weighted least squares (WLS) approach to the complex sinusoids. Then the oversampling weighted least squares (OSWLS) estimator is proposed based on data decimation. Estimation performance of the OSWLS method is analyzed via theoretical and simulation studies. Results are also compared...

In this paper a new optimized multi-stage (Delta-Sigma) structure is proposed. The method combines the reduced-sample-rate architecture with the optimization of the zeros of the noise transfer function ( ). To achieve this, the first stage of the decimation filter has to be modified as well. Applying this method one can avoid the loss introduced by using the reduced-sample-rate second-stage. Th...

A new projection reconstruction technique utilizes the oversampling of low spatial frequencies to estimate and correct for off-resonance effects. Interleaved spokes are acquired at one of two different echo times. From separated early-TE and late-TE raw data, two one-quarter resolution images are reconstructed and a one-quarter resolution field map is computed. Multifrequency reconstruction wit...

This report presents a new low latency, high resolution and low cost timing synchronization technique for digital receivers. Traditional timing synchronization employs Matched filter to perform cross-correlation operation and estimate Time-of-Arrival (TOA) of the signal. Decreasing the latency of the traditional method through oversampling leads to a higher complexity and it is not viable. Furt...

In this paper, a new high-order multiscale finite element method is developed for elliptic problems with highly oscillating coefficients. The method is inspired by the multiscale finite element method developed in [3], but a more explicit multiscale finite element space is constructed. The approximation space is nonconforming when oversampling technique is used. We use a PetrovGalerkin formulat...

OFDM offers many advantages in terms of resilience to fading, reflections and the like. OFDM also offers a high level of spectrum efficiency. However to reap the rewards, it is necessary that the OFDM system operates correctly, and to achieve this, it is necessary for the OFDM synchronization to be effective. There are a number of areas in which the OFDM synchronization is critical to the opera...

Frequency-domain equalization (FDE) based on minimum mean square error (MMSE) criterion is a promising equalization technique for the broadband single-carrier (SC) transmission. However, the presence of timing offset produces the inter-symbol interference (ISI) and degrades the bit error rate (BER) performance. In this paper, we discuss the mechanism of the BER performance degradation in the pr...

Surface-enhanced Raman spectroscopy (SERS) has shown highly promising for existing cancer screening. However, previous “proof-of-concept” studies ignored the natural imbalance of types in population, leading model to be biased toward learning more features majority class during process at expense ignoring minority class. Herein, a power-law-based synthetic oversampling technique (PL-SMOTE) meth...