Hilbert

Phase and Amplitude estimation

Phase and Amplitude estimation
  1. What is amplitude estimation?
  2. How do you find the amplitude and phase of a signal?
  3. How do you calculate Hilbert transform?
  4. What is Hilbert transform instantaneous phase?

What is amplitude estimation?

Quantum Amplitude Estimation (QAE)1 is a fundamental quantum algorithm with the potential to achieve a quadratic speedup for many applications that are classically solved through Monte Carlo (MC) simulation.

How do you find the amplitude and phase of a signal?

As for the amplitudes you can get them directly by calculating the peak values of the sine waves. Afterwards you can calculate the phase angle phi= phi2-phi1 and the ratio of the magnitudes between B/A. All you need is to display the waveforms in same diagram.

How do you calculate Hilbert transform?

The Hilbert transforms of f ( x ) = sin x 1 + x 2 computed with our proposed method and MM. Dashed: H f ( x ) = e − 1 − cos x 1 + x 2 ; Solid: the result computed with MM; Dotted: our proposed algorithm.

What is Hilbert transform instantaneous phase?

The Hilbert transform estimates the instantaneous frequency of a signal for monocomponent signals only. A monocomponent signal is described in the time-frequency plane by a single "ridge." The set of monocomponent signals includes single sinusoids and signals like chirps.

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