Real-time implementations of joint time-frequency analysis over instantaneous bandwidths above the GHz range remain challenging. In a companion paper, we have proposed an analog photonic processing scheme that enables computing short-time Fourier transform (STFT), or spectrogram (SP), incoming arbitrary broadband signal, tens-of-GHz bandwidths, in continuous, gapless and real-time manner. The method involves temporal sampling signal under test (SUT) with periodic train interfering, linearly...

The short-time Fourier transform (STFT), or spectrogram (SP), is the prime method for joint time-frequency signal analysis and processing. Real-time implementation of this powerful tool over instantaneous bandwidths above GHz range remains challenging. We propose here a universal analog optical processing approach to obtain STFT high-speed temporal waveform (typically, microwave signal) in continuous real-time manner, with no gaps acquisition analysis. proposed based on photonics time-mapped...

Controlling the temporal evolution of an electromagnetic (EM) wave's frequency components, so-called time-frequency (TF) distribution, in a versatile and real-time fashion remains very challenging, especially at high speeds (> GHz regime) required contemporary communication, imaging, sensing applications. We propose general framework for manipulating TF properties high-speed EM waves. Specifically, distribution is continuously mapped along time domain through phase-only processing, enabling...

We experimentally demonstrate electronically programmable, user-defined time-varying frequency filtering of continuous broadband signals, over a 22 GHz tuning range and with >1 reconfiguration speed, using electro-optic modulation reversible time-mapped spectrogram.

We demonstrate gapless and real-time spectral analysis of broadband waveforms with >250 points per spectrum. The concept is based on a discretization an electro-optic time-lens to implement phase modulation equivalent 206.25π.

We propose and experimentally demonstrate a user-defined time-varying microwave photonic filtering system that enables versatile electronic reconfigurability of its spectral response at very high speed (~1.3 GHz) over 40-GHz full frequency bandwidth with resolution approaching fundamental limit (filter's tuning speed). The system's performance is validated through the successful mitigation interferences in non-stationary broadband signal, showcasing capability for fully reconfigurable signal...

We demonstrate a novel scheme based on electro-optic phase modulation following the Talbot effect that enables real-time spectrogram analysis of arbitrary signals over 40-GHz bandwidth, with MHz frequency resolution, and rates up to 220 million Fourier transforms per second.

We propose and numerically demonstrate a novel method to evaluate the temporal evolution of fast optical waveform as it propagates through group-velocity dispersive medium by tracking frequency spectrum at output quadratic phase modulator (time lens).

We experimentally demonstrate electronically programmable, user-defined time-varying frequency filtering of continuous broadband signals, over a 22 GHz tuning range and with >1 reconfiguration speed, using electro-optic modulation reversible time-mapped spectrogram.

We demonstrate gapless and real-time spectral analysis of broadband waveforms with >250 points per spectrum. The concept is based on a discretization an electro-optic time-lens to implement phase modulation equivalent 206.25π.

We propose and experimentally demonstrate a novel method to observe the temporal evolution of an optical pulsed waveform along with dispersive medium, emulated by tracking frequency spectrum at output phase modulator.

We experimentally demonstrate continuous tracking of the time-domain evolution a waveform propagating through dispersive medium by simply following shape frequency spectrum obtained after suitable temporal phase modulation.

We report a novel method to continuously track the temporal evolution of an arbitrary complex waveform as it propagates through group-velocity dispersion medium by using single-frequency-driven phase modulator. The proposed exploits fact that frequency spectrum given (input) waveform, following suitable sinusoidal modulation, exhibits same shape dispersed version after propagation prescribed amount dispersion. In experiments, we dispersion-induced different optical picosecond pulsed...