{"id":21451763,"url":"https://github.com/ostad-ai/signal-processing","last_synced_at":"2026-05-21T10:02:15.564Z","repository":{"id":171058828,"uuid":"647392875","full_name":"ostad-ai/Signal-Processing","owner":"ostad-ai","description":"Signal Processing and related topics are reviewed here.","archived":false,"fork":false,"pushed_at":"2023-07-23T11:44:03.000Z","size":230,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-01-23T12:29:44.871Z","etag":null,"topics":["discrete","discrete-convolution","eigenfunctions","eigenvalues","fourier-series","fourier-transform","linear-time-invariant","python","sifting-property","signal-processing","unit-impulse","z-transform"],"latest_commit_sha":null,"homepage":"","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ostad-ai.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2023-05-30T17:23:54.000Z","updated_at":"2023-07-23T11:58:41.000Z","dependencies_parsed_at":null,"dependency_job_id":"26e37a4c-f335-4b56-a77e-56e2a54db09f","html_url":"https://github.com/ostad-ai/Signal-Processing","commit_stats":null,"previous_names":["ostad-ai/signal-processing"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ostad-ai%2FSignal-Processing","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ostad-ai%2FSignal-Processing/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ostad-ai%2FSignal-Processing/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ostad-ai%2FSignal-Processing/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ostad-ai","download_url":"https://codeload.github.com/ostad-ai/Signal-Processing/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":243964482,"owners_count":20375784,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["discrete","discrete-convolution","eigenfunctions","eigenvalues","fourier-series","fourier-transform","linear-time-invariant","python","sifting-property","signal-processing","unit-impulse","z-transform"],"created_at":"2024-11-23T04:25:44.965Z","updated_at":"2026-05-21T10:02:15.506Z","avatar_url":"https://github.com/ostad-ai.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Signal Processing\n1) Discrete-time **unit impulse** function and its **sifting property**.\n2) Discrete-time **unit step** function and its relation to *unit impulse*.\n3) The definition of **systems** and **signals**. Also, we review the **linear time-invariant (LTI)** systems.\n4) Expressing the output of an **LTI** system using **discrete convolution** and **impulse response**.\n5) Continuous-time **unit impulse** and continuous-time **unit step** along with the **sifting property** are reviewed.\n6) **Fourier series**: **Exponential** and **sine-cosine** forms with some examples are included.\n7) Using **z-transform** for implementing **convolution**.\n8) **Discrete-time Fourier transform** (DTFT) is expressed along with some Python code.\n9) **Continuous-time Fourier transform** (CTFT) is mentioned here. Also, an example in Python code is included.\n10) The **eigenfunctions** and **eigenvalues** for discrete-time LTI systems are demonstrated with z-transform and discrete-time Fourier transform(DTFT).\n11) This time, the **eigenfunctions** and **eigenvalues** for **continuous**-time LTI systems are demonstrated with bilateral Lpalace transform and continuous-time Fourier transform(CTFT).","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fostad-ai%2Fsignal-processing","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fostad-ai%2Fsignal-processing","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fostad-ai%2Fsignal-processing/lists"}