Simple, fast and accurate eight points amplitude estimation method of sinusoidal signals for DSP based instrumentation

A simple, fast and accurate amplitude estimation algorithm of sinusoidal signals for DSP based instrumentation is proposed. It is shown that eight samples, used in two steps, are sufficient. A practical analytical formula for amplitude estimation is obtained. Numerical results are presented. Simulations have been performed when the sampled signal is affected by white Gaussian noise and when the samples are quantized on a given number of bits.

[1]  Yannis Stylianou,et al.  Iterative Estimation of Sinusoidal Signal Parameters , 2010, IEEE Signal Processing Letters.

[2]  Dragos Nicolae Vizireanu,et al.  A simple and precise real-time four point single sinusoid signals instantaneous frequency estimation method for portable DSP based instrumentation , 2011 .

[3]  Simona Halunga,et al.  Single sine wave parameters estimation method based on four equally spaced samples , 2011 .

[4]  Geir Kjetil Nilsen,et al.  Recursive Time-Frequency Reassignment , 2009, IEEE Transactions on Signal Processing.

[5]  K. Chahine,et al.  Parameter Estimation of Damped Power-Law Phase Signals via a Recursive and Alternately Projected Matrix Pencil Method , 2011, IEEE Transactions on Antennas and Propagation.

[6]  J. Selva.  Efficient maximum likelihood estimation of a 2-D complex sinusoidal based on barycentric interpolation , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[7]  Shigeru Ando,et al.  An Exact Direct Method of Sinusoidal Parameter Estimation Derived From Finite Fourier Integral of Differential Equation , 2009, IEEE Transactions on Signal Processing.

[8]  Weize Sun,et al.  Improvement to esprit-type frequency estimators via reducing data redundancy , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[9]  Ming Hou,et al.  Parameter Identification of Sinusoids , 2012, IEEE Transactions on Automatic Control.

[10]  Ming Hou,et al.  Estimation of Sinusoidal Frequencies and Amplitudes Using Adaptive Identifier and Observer , 2007, IEEE Transactions on Automatic Control.

[11]  Dragos Nicolae Vizireanu.  Quantised sine signals estimation algorithm for portable digital signal processor based instrumentation , 2009 .

[12]  Balu Santhanam,et al.  On a pseudo-subspace framework for discrete Fractional Fourier transform based chirp parameter estimation , 2011, 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE).

[13]  Simona Halunga,et al.  Analytical formula for three points sinusoidal signals amplitude estimation errors , 2012 .

[14]  Sambit Prasad Kar,et al.  Estimation of real-valued sinusoidal signal frequencies based on ESPRIT and propagator methods , 2011, 2011 International Conference on Recent Trends in Information Technology (ICRTIT).

[15]  Xinwu Zeng,et al.  Improved algorithm for MUSIC applied in coherent signal parameter estimation , 2011, Proceedings of 2011 International Conference on Electronics and Optoelectronics.

[16]  Shang-Teh Wu,et al.  Five-Point Amplitude Estimation of Sinusoidal Signals: With Application to LVDT Signal Conditioning , 2010, IEEE Transactions on Instrumentation and Measurement.

[17]  Frankie K. W. Chan,et al.  An Efficient Approach for Two-Dimensional Parameter Estimation of a Single-Tone , 2010, IEEE Transactions on Signal Processing.