https://github.com/ostad-ai/signal-processing

Signal Processing and related topics are reviewed here.
https://github.com/ostad-ai/signal-processing

discrete discrete-convolution eigenfunctions eigenvalues fourier-series fourier-transform linear-time-invariant python sifting-property signal-processing unit-impulse z-transform

Last synced: 11 months ago
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Signal Processing and related topics are reviewed here.

• Host: GitHub
• URL: https://github.com/ostad-ai/signal-processing
• Owner: ostad-ai
• License: mit
• Created: 2023-05-30T17:23:54.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2023-07-23T11:44:03.000Z (over 2 years ago)
• Last Synced: 2025-01-23T12:29:44.871Z (about 1 year ago)
• Topics: discrete, discrete-convolution, eigenfunctions, eigenvalues, fourier-series, fourier-transform, linear-time-invariant, python, sifting-property, signal-processing, unit-impulse, z-transform
• Language: Jupyter Notebook
• Homepage:
• Size: 225 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# Signal Processing

1) Discrete-time **unit impulse** function and its **sifting property**.

2) Discrete-time **unit step** function and its relation to *unit impulse*.

3) The definition of **systems** and **signals**. Also, we review the **linear time-invariant (LTI)** systems.

4) Expressing the output of an **LTI** system using **discrete convolution** and **impulse response**.

5) Continuous-time **unit impulse** and continuous-time **unit step** along with the **sifting property** are reviewed.

6) **Fourier series**: **Exponential** and **sine-cosine** forms with some examples are included.

7) Using **z-transform** for implementing **convolution**.

8) **Discrete-time Fourier transform** (DTFT) is expressed along with some Python code.

9) **Continuous-time Fourier transform** (CTFT) is mentioned here. Also, an example in Python code is included.

10) The **eigenfunctions** and **eigenvalues** for discrete-time LTI systems are demonstrated with z-transform and discrete-time Fourier transform(DTFT).

11) This time, the **eigenfunctions** and **eigenvalues** for **continuous**-time LTI systems are demonstrated with bilateral Lpalace transform and continuous-time Fourier transform(CTFT).