Signal Processing

Discrete-time unit impulse function and its sifting property.
Discrete-time unit step function and its relation to unit impulse.
The definition of systems and signals. Also, we review the linear time-invariant (LTI) systems.
Expressing the output of an LTI system using discrete convolution and impulse response.
Continuous-time unit impulse and continuous-time unit step along with the sifting property are reviewed.
Fourier series: Exponential and sine-cosine forms with some examples are included.
Using z-transform for implementing convolution.
Discrete-time Fourier transform (DTFT) is expressed along with some Python code.
Continuous-time Fourier transform (CTFT) is mentioned here. Also, an example in Python code is included.
The eigenfunctions and eigenvalues for discrete-time LTI systems are demonstrated with z-transform and discrete-time Fourier transform(DTFT).
This time, the eigenfunctions and eigenvalues for continuous-time LTI systems are demonstrated with bilateral Lpalace transform and continuous-time Fourier transform(CTFT).

Name		Name	Last commit message	Last commit date
Latest commit History 12 Commits
LICENSE		LICENSE
README.md		README.md
sp-LTI-and discrete convolution-for github.ipynb		sp-LTI-and discrete convolution-for github.ipynb
sp-continuous-time fourier transform-for github.ipynb		sp-continuous-time fourier transform-for github.ipynb
sp-continuous-time unit step and unit impulse-for github.ipynb		sp-continuous-time unit step and unit impulse-for github.ipynb
sp-discrete-time fourier transform-for github.ipynb		sp-discrete-time fourier transform-for github.ipynb
sp-eigenfunctions-eigenvalues-and CTFT-for github.ipynb		sp-eigenfunctions-eigenvalues-and CTFT-for github.ipynb
sp-eigenfunctions-eigenvalues-and DTFT.ipynb		sp-eigenfunctions-eigenvalues-and DTFT.ipynb
sp-fourier series-for github.ipynb		sp-fourier series-for github.ipynb
sp-sifting property-for github.ipynb		sp-sifting property-for github.ipynb
sp-systems-linear-time-invariant-for github.ipynb		sp-systems-linear-time-invariant-for github.ipynb
sp-unit step fucntion-for github.ipynb		sp-unit step fucntion-for github.ipynb
sp-z-transform-convolution-for github.ipynb		sp-z-transform-convolution-for github.ipynb

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