Single sine wave parameters estimation method based on four equally spaced samples

FPGA based chip emulation system for test development of analog and mixed signal circuits: A case study of DC–DC buck converter

“…However, accuracy of estimation of amplitude and phase of quantized sinusoid signals given by such algorithms are not very good [12]. Recently, in a series of works [12][13][14][15]17], Virzireanu et al have proposed techniques for quantization, frequency, phase and amplitude estimation of sinusoid signals, which are best suited for hardware based implementations. In [12], the authors have proposed an estimation algorithm for precisely quantized sinusoidal signals with a common unknown fixed frequency.…”

“…Further, the algorithm directly calculates a parameter of a high-purity signal with minimal computation effort, making it suitable for hardware based implementations. Recently Virzireanu et al in [15] have proposed a general algorithm that can determine all the parameters of a single wave carrier signal, i.e., the frequency, phase, amplitude and DC component, based on four samples. The key benefit of the algorithm lies in the fact that the distance between samples is not a crucial parameter, so there is no need to have previous knowledge of any of these parameters.…”

A Method of m-Point Sinusoidal Signal Amplitude Estimation

“…Since functions sin(2π/M), cos(2π/M), sin(4π/M), and cos(4π/M) in equations (6) and (12) are not represented by samples x[i] of signal x(t), then quantities (8) and (14) do not yet constitute descriptions of point estimators. Note though that the sample…”

“…Especially noteworthy are the estimators proposed by Vizireanu and Halunga, among which a four-point signal amplitude estimator ought to be singled out [6]. Particular cases of an m-point estimator are considered.…”

Determination Reflection and Transmission Coefficients of Lanthanum Iron Garnet Filled PVDF-Polymer Nanocomposite Using Finite Element Method Modeling at Microwave Frequencies

“…The parameters of a single wave carrier signal such as frequency, phase, amplitude and DC component were determined by a general method based on different samples [8] .the relative error of the estimated parameters decreases linearly as the signal-to-noise ratio (SNR) increases. For portable DSP, a simple and precise instantaneous frequency estimation method of single sinusoid signals were conducted based on instrumentation to obtain an analytical formula [9].…”