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Comprehensive z-Transform Guide for Digital Signal Processing

This guide covers z-transform, region of convergence, inverse z-transform, properties, LTI system analysis, and system function representations using block diagrams. Learn how z-transform simplifies operations and spectral analysis in digital signal processing.

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Comprehensive z-Transform Guide for Digital Signal Processing

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  1. Z-Transform Tri Rahajoeningroem, MT T. Elektro - UNIKOM

  2. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems using z-transforms • System function algebra and block diagram representations

  3. Peran Transformasi Z • Transformasi Z dalampengolahansinyal digital mempunyaiaturan yang samadenganTransformasi Laplace danTransformasi Fourier padarangkaiandansistem analog. • Transformasi Z dalampengolahansinyal digital berperansebagai tool untuk Spectral Analysis : Mengetahuidanmenganalisaspektrumfrekuensidarisinyaldalam domain waktu • Terdapatintuisibahwakadangtidakmudahmenganalisispada domain waktu. • Mempermudahoperasipada domain waktu, konvolusipada domain waktudipetakankeperkalianpada domain Z. • Digunakanuntukmendefinisikanfungsi transfer • Digunakanuntukmelihatresponssistemmenggunakanproses table - look- up. • Digunakanuntukmenganalisiskarakteristikdarisistem

  4. Definisi Transformasi Z Transformasi Z sinyal waktu diskrit x(n) didefinisikan: sebagai : Dimana z adalah variable kompleks Atau: X(Z)  Z[x(n)] Hubungan antara x(n) dan X(z): Untuk deret kausal:

  5. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems using z-transforms • System function algebra and block diagram representations

  6. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems using z-transforms • System function algebra and block diagram representations

  7. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems using z-transforms • System function algebra and block diagram representations

  8. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems using z-transforms • System function algebra and block diagram representations

  9. Outline • The z-transform • Region of convergence • Inverse z-transform • Geometric evaluation of FT from Pole-zero plot • Properties of z-transform • Analysis and characterization of LTI systems usingz-transforms • System function algebra and block diagram representations

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