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Related Concept Videos

Upsampling01:22

Upsampling

494
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
494
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

587
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
587
Aliasing01:18

Aliasing

426
Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
426
Downsampling01:20

Downsampling

484
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
484
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

552
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
552
Design Example: Vintage Mixing Console01:17

Design Example: Vintage Mixing Console

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A sound engineer at a music company recently encountered a problem. The output from their newly acquired studio's vintage mixing console was too low for the requirements of modern recording equipment. To rectify this situation, the engineer decided to design an audio pre-amplifier using an operational amplifier (op-amp) to boost the signal level.
The specifications for the pre-amplifier were clear. It needed to amplify the audio signal by a factor of 10, have an input impedance above 10...
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Related Experiment Video

Updated: Dec 2, 2025

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
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Carrier-less phase retrieval receiver leveraging digital upsampling.

Hanzi Huang, Haoshuo Chen, Yetian Huang

    Optics Letters
    |November 2, 2020
    PubMed
    Summary
    This summary is machine-generated.

    Phase retrieval receivers reconstruct signals using only intensity data. This study demonstrates an efficient iteration scheme for digital upsampling and bandwidth reduction in phase retrieval systems.

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    Area of Science:

    • Optical communications
    • Signal processing

    Background:

    • Phase retrieval (PR) receivers enable signal reconstruction from intensity measurements, eliminating the need for an optical carrier.
    • Investigating PR receiver requirements is crucial for advancing optical communication systems.

    Purpose of the Study:

    • To analyze the digital upsampling and receiver bandwidth needs for phase retrieval receivers.
    • To propose and validate an efficient iteration scheme for phase retrieval.

    Main Methods:

    • Utilizing an alternative projection method with a dispersive element for phase retrieval.
    • Implementing a modified Gerchberg-Saxton algorithm for the PR process.
    • Developing an iteration scheme that averages interleaved upsampled symbols to ensure two samples per symbol for the complex-valued signal.

    Main Results:

    • The proposed iteration scheme demonstrated fast algorithm convergence.
    • Nyquist-shaped 30-GBaud quadrature phase shift keying signals were successfully measured after 55-km single-mode fiber transmission.
    • The system reached the 20% and 7% forward-error correction thresholds with only 110 and 250 iterations, respectively.

    Conclusions:

    • The developed phase retrieval method effectively reduces digital upsampling and receiver bandwidth requirements.
    • The experimental validation confirms the efficiency and speed of the proposed iteration scheme for optical signal reconstruction.