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Related Concept Videos

Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

218
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...
218
Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

304
The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
304
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

179
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...
179
Linear time-invariant Systems01:23

Linear time-invariant Systems

226
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
226
Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

236
In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
236
Classification of Signals01:30

Classification of Signals

420
In signal processing, signals are classified based on various characteristics: continuous-time versus discrete-time, periodic versus aperiodic, analog versus digital, and causal versus noncausal. Each category highlights distinct properties crucial for understanding and manipulating signals.
A continuous-time signal holds a value at every instant in time, representing information seamlessly. In contrast, a discrete-time signal holds values only at specific moments, often denoted as x(n), where...
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Updated: Jun 13, 2025

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CL-Informer: Long time series prediction model based on continuous wavelet transform.

Baijin Liu1, Zimei Li2, Zhanlin Li1

  • 1Jilin Institute of Chemical Technology, Longtan, Jilin, Jilin, China.

Plos One
|September 13, 2024
PubMed
Summary
This summary is machine-generated.

A new deep learning model, CL-Informer, enhances time series prediction accuracy. By incorporating continuous wavelet transform and LSTM, it significantly reduces prediction errors for both univariate and multivariate forecasting tasks.

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Data Science

Background:

  • Time series prediction is crucial but challenging.
  • Existing deep learning models like Informer have limitations in capturing multi-scale data characteristics and dependencies.
  • Accurate long sequence prediction remains an open problem.

Purpose of the Study:

  • To propose a novel deep learning model, CL-Informer, for improved time series prediction accuracy.
  • To enhance the Informer model by integrating continuous wavelet transform and LSTM layers.
  • To evaluate the performance of CL-Informer against other state-of-the-art forecasting models.

Main Methods:

  • Developed the CL-Informer model by adding a continuous wavelet transform (CWT) embedding layer to the Informer architecture.
  • Utilized a Long Short-Term Memory (LSTM) layer to further capture data dependencies and process CWT-derived information.
  • Compared CL-Informer with Informer, Informer+, and Reformer on five diverse datasets for time series forecasting.

Main Results:

  • CL-Informer achieved an average Mean Squared Error (MSE) reduction of 30.64% for univariate prediction horizons.
  • CL-Informer demonstrated an average MSE reduction of 10.70% for multivariate prediction horizons.
  • The proposed model showed superior performance in long sequence prediction compared to the original Informer model.

Conclusions:

  • The CL-Informer model significantly improves the accuracy of time series prediction.
  • The integration of CWT and LSTM effectively captures multi-scale data characteristics and dependencies.
  • CL-Informer offers a more precise and reliable approach for long sequence forecasting.