A hidden Markov model method for estimating an a posteriori distribution of the amplitude of communications signals is presented. As the signal to noise ratio decreases the hidden Markov model method is shown to perform significantly better than a conventional histogram method for characterising the amplitude distribution. The HMM estimation is performed within a Expectation Maximisation method...

Robust estimation of the amplitude, frequency and bias of unknown noisy sinusoidal signals is considered in this paper. It is only assumed that the measurements noise is bounded without any additional information such as stationarity, uncorrelation or type of distribution. The estimation problem is formulated as a Constraint Satisfaction Problem (CSP) where the amplitude, frequency and bias con...

We show in benchtop experiments that wave-front phase estimation by phase diversity can be significantly improved by simultaneous amplitude estimation. Processing speed, which will be important for real-time wave-front control applications, can be enhanced by use of small-format detectors with pixels that do not fully sample the diffraction limit. Using an object-independent phase-diversity alg...

The random noise test of analog to digital converters recommended by the IEEE 1057 Standard for digitizing waveform recorders is studied. The heuristically derived expression presented for the estimation of the random noise standard deviation is experimentally validated. The standard suggests a triangular stimulus signal. Here we will show how to use a sinusoidal stimulus signal to carry out th...

| We present an eecient algorithm for the enhancement of speech signals which are heavily corrupted by short-time stationary, acoustically or electrically added disturbances. The algorithm is based on spectral amplitude estimation using an overlap-add FFT lter bank system. Compared to other systems , the improved performance of our speech enhancement system is achieved by the combination of the...

This paper reviews data acquisition and signal processing issues relative to producing an amplitude estimate of surface EMG. The paper covers two principle areas. First, methods for reducing noise, artefact and interference in recorded EMG are described. Wherever possible noise should be reduced at the source via appropriate skin preparation, and the use of well designed active electrodes and s...

A sound's duration provides important information about the event producing it. Although many of the sounds we hear every day are 'percussive' in nature (ie resulting from two objects impacting) and therefore exhibit decaying/damped amplitude envelopes, perceptual experiments frequently use tones synthesized with 'flat' or abruptly ending envelopes. Such sounds afford an estimation strategy inv...

Amplitude Polynomial Phase Signals Joseph M. Francos and Benjamin Friedlander Abstract Phase information has fundamental importance in many two-dimensional signal processing problems. In this paper we consider two-dimensional signals with random amplitude and a continuous deterministic phase. The signal is represented by a random amplitude polynomial-phase model. A computationally e cient estim...

Bayesian probability theory is used to estimate the amplitude of a single exponentially decaying sinusoid in NMR free induction decay (FID) data. The posterior probability for the amplitude is derived independent of the phase, frequency, decay rate constant, and variance of the noise. The estimate is shown to be accurate and precise in the sense that as the noise approaches zero, the estimate a...