digital signal processing

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Digital Signal Processing. Electrical Engineering Department Iran University of Science & Tech. Digital Signal Processing Topic 4: The Z TRansform. 1. The Z Transform 2. Inverse Z Transform. 1. The Z Transform. Region of Convergence (ROC). ROC Example. About ROCs. Another ROC example. - PowerPoint PPT Presentation

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2/17/2007 DSP Course-IUST-Spring Semester 1

Digital Signal Processing

Electrical Engineering Department

Iran University of Science & Tech.

DSP Course-IUST-Spring Semester 22/17/2007

Digital Signal ProcessingTopic 4: The Z TRansform

1. The Z Transform

2. Inverse Z Transform

DSP Course-IUST-Spring Semester 32/17/2007

1. The Z Transform

DSP Course-IUST-Spring Semester 42/17/2007

Region of Convergence (ROC)

DSP Course-IUST-Spring Semester 52/17/2007

ROC Example

DSP Course-IUST-Spring Semester 62/17/2007

About ROCs

DSP Course-IUST-Spring Semester 72/17/2007

Another ROC example

DSP Course-IUST-Spring Semester 82/17/2007

ROC is necessary!

DSP Course-IUST-Spring Semester 92/17/2007

Rational Z-transforms

DSP Course-IUST-Spring Semester 102/17/2007

Factored rational ZTs

DSP Course-IUST-Spring Semester 112/17/2007

Pole-zero diagram

DSP Course-IUST-Spring Semester 122/17/2007

Z-plane surface

DSP Course-IUST-Spring Semester 132/17/2007

Z-plane and DTFT

DSP Course-IUST-Spring Semester 142/17/2007

ZT is Linear

DSP Course-IUST-Spring Semester 152/17/2007

ZT of LCCDEs

DSP Course-IUST-Spring Semester 162/17/2007

ROCs and sidedness

DSP Course-IUST-Spring Semester 172/17/2007

ROC intersections

DSP Course-IUST-Spring Semester 182/17/2007

ROC intersections: Case 1

DSP Course-IUST-Spring Semester 192/17/2007

ROC intersections: Case 2

DSP Course-IUST-Spring Semester 202/17/2007

ROC intersections: Case 3

DSP Course-IUST-Spring Semester 212/17/2007

ROC intersections: Case 4

DSP Course-IUST-Spring Semester 222/17/2007

ROC intersections

DSP Course-IUST-Spring Semester 232/17/2007

Some common Z transforms

DSP Course-IUST-Spring Semester 242/17/2007

Z Transform properties

DSP Course-IUST-Spring Semester 252/17/2007

Z Transform properties

DSP Course-IUST-Spring Semester 262/17/2007

ZT Example

DSP Course-IUST-Spring Semester 272/17/2007

Another ZT example

DSP Course-IUST-Spring Semester 282/17/2007

2. Inverse Z Transform (IZT)

DSP Course-IUST-Spring Semester 292/17/2007

IZT #1: Generalize IDTFT

DSP Course-IUST-Spring Semester 302/17/2007

IZT #2: Long division

DSP Course-IUST-Spring Semester 312/17/2007

IZT #2: Long division

DSP Course-IUST-Spring Semester 322/17/2007

IZT #2: Long division

DSP Course-IUST-Spring Semester 332/17/2007

IZT#3: Partial Fractions

DSP Course-IUST-Spring Semester 342/17/2007

Partial Fractions

DSP Course-IUST-Spring Semester 352/17/2007

Partial Fractions

DSP Course-IUST-Spring Semester 362/17/2007

Partial Fractions Example

DSP Course-IUST-Spring Semester 372/17/2007

Partial Fractions Example

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