11.01.2015 Views

Introduction to Digital Signal and System Analysis - Tutorsindia

Introduction to Digital Signal and System Analysis - Tutorsindia

Introduction to Digital Signal and System Analysis - Tutorsindia

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

<strong>Introduction</strong> <strong>to</strong> <strong>Digital</strong> <strong>Signal</strong> <strong>and</strong> <strong>System</strong> <strong>Analysis</strong><br />

Contents<br />

3.4 Impulse response 29<br />

3.5 Convolution 33<br />

3.6 Graphically demonstrated convolution 38<br />

4 Frequency Domain <strong>Analysis</strong> 42<br />

4.1 Fourier series for periodic digital signals 42<br />

4.2 Fourier transform for non-periodic signals 46<br />

4.3 Properties of Fourier transform 49<br />

4.4 Frequency response 50<br />

4.5 Frequency correspondence when sampling rate is given 56<br />

5 Z Domain <strong>Analysis</strong> 60<br />

5.1 z-transform <strong>and</strong> inverse z-transform 60<br />

5.2 Relationship between z-transform <strong>and</strong> Fourier transform 62<br />

5.3 Z as time shift opera<strong>to</strong>r 62<br />

5.4 Transfer function 63<br />

5.5 Z-plane, poles <strong>and</strong> zeros 67<br />

5.6 Stability of a system 71<br />

5.7 Evaluation of the Fourier transform in the z-plane 75<br />

5.8 Characteristics of 1st <strong>and</strong> 2nd order systems 77<br />

6 Discrete Fourier Transform 88<br />

6.1 Definition of discrete Fourier transform 88<br />

Please click the advert<br />

www.job.oticon.dk<br />

Download free ebooks at bookboon.com<br />

5

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!