[PDF] On an ambiguity in the definition of the amplitude and phase ...

On an ambiguity in the de"nition of the amplitude and phase of a signal

We point out that the conventional de"nition of instantaneous amplitude and frequency, namely as the magnitude and derivative of the phase, respectively, ...

Semantic Scholar extracted view of "On an ambiguity in the definition of the amplitude and phase of a signal" by L. Cohen et al.

On an ambiguity in the definition of the amplitude and phase of a ...

We point out that the conventional definition of instantaneous amplitude and frequency, namely as the magnitude and derivative of the phase, respectively, ...

On the uniqueness of the definition of the amplitude and phase of ...

In 1999 three prominent scientists suggested in a paper printed in this journal that the definitions of the instantaneous amplitude, phase and frequency of ...

Functional Data Analysis of Amplitude and Phase Variation - arXiv

other types of feature time ambiguity such as two ... University of California Publication in Child Devel- opment 1 183–364. Vantini, S. (2012). On the definition ...

Amplitude and Phase Factorization of Signals via Blaschke Product ...

Avoiding such ambiguity leads to the concept of phase signal (or the ... Definition (Hardy Spaces). If p > 0, Hp is the set of F(z) analytic ...

Mathematical aspects of phase rotation ambiguities in partial wave ...

transform to 2L ambiguous amplitudes, i.e. for n = 0,...,(2L − 1):. A(n) ... ambiguities, are defined by. Fn(x) = eiϕn(x) = (x−πn[α1])(x−πn[α2]). (x−α1)( ...

On Instantaneous Amplitude and Phase of Signals - HAL

The pdf copy of the final published text can be obtained ... Let us recall the classical way to define without ambiguity the instantaneous ...

ambiguity function and frame theoretic properties of periodic zero ...

Constant Amplitude Zero Autocorrelation (CAZAC) waveforms u are analyzed in terms of the ambiguity function Au. Elementary number theoretic considerations ...

Ambiguity and Cross-ambiguity Properties of Some Reverberation ...

A pseudo-random noise signal is one in which either the signal amplitude or phase is modulated in a pseudo-random manner. ... magnitude-squared definition of the.

Properties of Ambiguity Functions - CORE

|v(⌧, ⌫)| = |s(⌧, ⌫ + ↵⌧)|. 2.2 Negative Asymmetric Ambiguity Function. Definition 2 For some signal s(t), the negative asymmetric ambiguity function is given ...

Understanding Phase Error and Jitter: Definitions, Implications ...

Communication system textbook version of a mixer with the addition of oscillator phase and amplitude error. ... keysight.com/litweb/pdf/5991-3868EN.pdf. [69] ...

Waveform Diversity: Past, Present, and Future - NATO STO

Amplitude, phase, and frequency codes are considered, even if a special attention ... Finally concluding remarks are drawn in Section VI. II. AMBIGUITY FUNCTION: ...

Phase ambiguity resolution and mixed pixel detection in EDM with ...

sinusoidal wave 𝜙1 with amplitude a1, frequency f, and phase shift 𝜑1 ... by means of their subscripts if no ambiguity arises. For two ...

Phase-Coded Waveforms and Their Design

The section “Ambiguity Functions” records the definition and basic properties of the ambiguity function. MOTIVATION. The area of waveform design enjoys ...

Phase Problem in X-ray Crystallography, and Its Solution

Unfortunately, it is only possible to measure the amplitude of the diffraction pattern spots by experimen- tal means; the phase information is missing: this is ...

RADAR AMBIGUITY ANALYSIS - DTIC

It is noise- modulated only iramuch as each individual pulse possesses a random phase and amplitude, and the ambiguity diagram will be found to be ... means of a ...

mathematical survey and application of the cross-ambiguity function

positive contribution of phase and amplitude information. We demonstrate ... This concludes my study of the mathematical definition, development and validation of ...

Amplitude and Phase Interaction in Hilbert Demodulation of ... - HAL

Section 5 is a focus on the analytic signal ambiguity according to its definition and its consequences when demodulating a residual signal. Page ...

Phase ambiguity - DSpace

1a shows an example of this harmonic phase which is taken at the same time, t/T =160, as the amplitude displayed in figure 4.3c. Phase is defined relative to t/ ...