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The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
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Related Experiment Video

Updated: Jul 16, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Real-time reconfigurable on-chip photonic frequency decoder.

Karanveer Singh, Ranjan Das, Abhinand Venugopalan

    Optics Express
    |September 15, 2023
    PubMed
    Summary
    This summary is machine-generated.

    A novel silicon photonic integrated circuit decodes radio frequency signals in real-time. This reconfigurable analog decoder offers temporal and spectral analysis for high-speed wireless applications.

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    Area of Science:

    • Integrated photonics
    • Silicon photonics
    • Radio frequency (RF) signal processing

    Background:

    • Traditional RF signal analysis often requires complex digital processing.
    • There is a need for compact, low-power, and high-speed solutions for RF signal decoding.

    Purpose of the Study:

    • To develop a reconfigurable analog radio frequency decoder using silicon photonics.
    • To demonstrate real-time temporal and spectral analysis of multi-tone signals.

    Main Methods:

    • Utilized a silicon photonic integrated circuit (PIC) with cascaded Mach-Zehnder interferometers and silicon microring resonators.
    • Employed microring resonators as variable delay units for temporal decoding.
    • Achieved time-to-frequency mapping for spectral decoding without digital signal processing.

    Main Results:

    • Demonstrated real-time temporal decoding by tuning signals with respect to ring resonator delay and resonance.
    • Validated a one-to-one conformal time-to-frequency mapping for spectral analysis.
    • Experimental results confirmed functionality with single-tone and two-tone input signals in a compact, low-power PIC.

    Conclusions:

    • The developed silicon photonic integrated circuit functions as an effective real-time temporal analog frequency decoder.
    • This technology holds significant potential for high-speed, low-latency wireless applications like autonomous driving and 6G.