RAJALAKSHMI ENGINEERING COLLEGEThandalam, Chennai – 602 105

LESSON PLAN

Faculty Name : NEW STAFF

Subject Name : DIGITAL SIGNALPROCESSING Code :

Year : III Semester : VI

Degree & Branch : B.E. – E.E.E. Section : ‘A’ and ‘B’

Aim:

To introduce the concept of analyzing discrete time signals & systems in the time frequency domain.

Objectives:

To classify signals and systems & their mathematical representation. To analyze the discrete time systems. To study various transformation techniques & their computation. To study about filters and their design for digital implementation. To study about a programmable digital signal processor & quantization effects.

Text Book(s):

1. J.G. Proakis and D.G. Manolakis, ‘Digital Signal Processing Principles, Algorithms

and Applications’, Pearson Education, New Delhi, 2003 / PHI.

2. S.K. Mitra, ‘Digital Signal Processing – A Computer Based Approach’, Tata McGraw Hill, New Delhi, 2001.

Reference Book(s):

1. Alan V. Oppenheim, Ronald W. Schafer and John R. Buck, ‘Discrete – Time Signal

Processing’, Pearson Education, New Delhi, 2003.

2. B.Venkataramani, M. Bhaskar, ‘Digital Signal Processors, Architecture, Programming

and Applications’, Tata McGraw Hill, New Delhi, 2003.

3. S. Salivahanan, A. Vallavaraj, C. Gnanapriya, ‘Digital Signal Processing’, Tata McGraw

Hill,

New Delhi, 2003.

4. Texas TMS 320C54X user manual (website).

Sl.

No.Date Period Unit Topic(s)

T / R*

Book

No

Page(s)

1 I INTRODUCTION- classification of signals T-1 6-11

2 I Classification of systems T-1 50-56

3 I Continuous, discrete and linear systems T-1 56-62

4 I Causal, stable and dynamic systems T-1 62-70

5 I Tutorial problems solved in systems T-1 62-70

6 I Recursive and time variance systems T-1 92-95

7 I Energy and power signal –problems solved T-1 47-51

8 I Mathematical representation of signals T-1 72-82

9 I Mathematical representation of signals T-1 72-82

10 I Spectral density Notes

11 I Sampling techniques T-1 23-28

12 I Sampling theorem T-1 29-33

13 IQuantization, quantization error and Nyquist rate

T-1 33-38

14 IAliasing effect. And Digital signal representation

Notes

15 I Analog to digital conversion T-1 748-756

16 IIDISCRETE TIME SYSTEM ANALYSISZ-transform -Introduction

T-1 151-160

17 I Properties of Z-transform T-1 161-178

18 I Properties of Z-transform T-1 161-178

19 IInverse z-transforms

T-1160-161,184-194

20 IIInverse z-transforms

T-1160-161184-194

21 II Problems solved -Tutorial T-1 151-160

22 IIDifference equation – Solution by z-transform, application to discrete systems

T-1 201-202

23 IIDifference equation – Solution by z-transform, application to discrete systems

T-1 201-202

24 IIStability analysis and frequency response -Z - transform

T-1 208-218

25 II Problems solved -Tutorial T-1 208-218

26 II Convolution T-1 Notes

27 II Convolution T-1 Notes

Sl.

No.Date Period Unit Topic(s)

T / R*

Book

No

Page(s)

28 II Fourier transform of discrete sequence T-1 286-294

29 IIDiscrete Fourier series.

T-1 286-294

30 IIDiscrete Fourier series.

T-1 286-294

31 IIIDISCRETE FOURIER TRANSFORM & COMPUTATION – DFT introduction

T-1 399-407

32 II Properties of DFT T-1 409-421

33 II Properties of DFT T-1 409-421

34 III Magnitude and phase representation of DFT T-1 399-407

35 III Computation of DFT using FFT algorithm T-1 448-473

36 III Computation of DFT using FFT algorithm T-1 448-473

37 IIIDIT - FFT using radix 2 – Butterfly structure

T-1 448-473

38 IIIDIT - FFT using radix 2 – Butterfly structure

T-1 448-473

39 III Tutorial – problems solved T-1 448-473

40 III DIF- FFT using radix 2 – Butterfly structure T-1 448-473

41 III DIF- FFT using radix 2 – Butterfly structure T-1 448-473

42 III Tutorial – problems solved T-1 448-473

43 IVDESIGN OF DIGITAL FILTERS -Introduction

T-1 502-531

44 IIIFIR & IIR filter realization – Parallel & cascade forms.

T-1 502-531

45 IIIFIR & IIR filter realization – Parallel & cascade forms.

T-1 502-531

46 IIIFIR & IIR filter realization – Parallel & cascade forms.

T-1 502-531

47 III Tutorial – problems solved T-1 502-531

48 IV FIR design: Windowing Techniques T-1 620-662

49 IV FIR design: Windowing Techniques T-1 620-662

50 IV Need and choice of windows T-1 620-662

51 IV Need and choice of windows T-1 620-662

52 IV Tutorial – problems solved T-1 620-662

53 IVLinear phase characteristics.

T-1 620-662

54 IV IIR design: Analog filter design T-1 666-692

Sl.

No.Date Period Unit Topic(s)

T / R*

Book

No

Page(s)

55 IV Butterworth filter T-1 666-692

56 IV Chebyshev filter T-1 666-692

57 IV Tutorial- problems solved T-1 666-692

58 IVDigital design using impulse invariant and bilinear transformation

T-1 671-681

59 IVDigital design using impulse invariant and bilinear transformation

T-1 671-681

60 IVDigital design using impulse invariant and bilinear transformation

T-1 671-681

61 IVWarping, prewarping - Frequency transformation. T-1 692-698

62 VPROGRAMMABLE DSP CHIPS - Introduction

Notes

63 VArchitecture and features of TMS 320C54 signal processing chip

Notes

64 VArchitecture and features of TMS 320C54 signal processing chip

Notes

65 VArchitecture and features of TMS 320C54 signal processing chip

Notes

66 VArchitecture and features of TMS 320C54 signal processing chip

Notes

67 VArchitecture and features of TMS 320C54 signal processing chip

Notes

68 VQuantization effects in designing digital filters. T-1 750-756

69 VQuantization effects in designing digital filters. T-1 750-756

70 VQuantization effects in designing digital filters. T-1 750-756

71 I Revision

72 II Revision

73 III Revision

74 IV Revision

75 V Revision

MODEL EXAM

Staff In-charge HOD

RAJALAKSHMI ENGINEERING COLLEGEDEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

LESSON PLANVI SEM-ELECTRICAL AND ELECTRONICS ENGINEERING BRANCH

Date of Compilation : 26/5/07 Faculty Name: Ms.P.T.Subasini

Faculty Code : EE41Subject : Digital Signal Processing Subject Code : EC 1361 Class : III EEE A&BDefinition:

To introduce the concept of analyzing discrete time signals & systems in the time frequency domain.

Objectives:

i. To classify signals and systems & their mathematical representation.ii. To analyse the discrete time systems.iii. To study various transformation techniques & their computation.iv. To study about filters and their design for digital implementation.v. To study about a programmable digital signal processor & quantization effects.

Syllabus L = 45 T = 15 Total = 601. INTRODUCTION 9

Classification of systems: Continuous, discrete, linear, causal, stable, dynamic, recursive, time variance; classification of signals: continuous and discrete, energy and power; mathematical representation of signals; spectral density; sampling techniques, quantization, quantization error, Nyquist rate, aliasing effect. Digital signal representation, analog to digital conversion.

2. DISCRETE TIME SYSTEM ANALYSIS 9

Z-transform and its properties, inverse z-transforms; difference equation – Solution by z-transform, application to discrete systems - Stability analysis, frequency response – Convolution – Fourier transform of discrete sequence – Discrete Fourier series.

3. DISCRETE FOURIER TRANSFORM & COMPUTATION 9

DFT properties, magnitude and phase representation - Computation of DFT using FFT algorithm – DIT & DIF - FFT using radix 2 – Butterfly structure.

4. DESIGN OF DIGITAL FILTERS 9

FIR & IIR filter realization – Parallel & cascade forms. FIR design: Windowing Techniques – Need and choice of windows – Linear phase characteristics.IIR design: Analog filter design - Butterworth and Chebyshev approximations; digital design using impulse invariant and bilinear transformation - Warping, prewarping - Frequency transformation.

5. PROGRAMMABLE DSP CHIPS 9

Architecture and features of TMS 320C54 signal processing chip – Quantisation effects in designing digital filters.

TEXT BOOKS

1. J.G. Proakis and D.G. Manolakis, ‘Digital Signal Processing Principles, Algorithms and Applications’, Pearson Education, New Delhi, 2003 / PHI.2. S.K. Mitra, ‘Digital Signal Processing – A Computer Based Approach’, Tata McGraw Hill, New Delhi, 2001.

REFERENCE BOOKS

1. Alan V. Oppenheim, Ronald W. Schafer and John R. Buck, ‘Discrete – Time Signal Processing’, Pearson Education, New Delhi, 2003.

2. B.Venkataramani, M. Bhaskar, ‘Digital Signal Processors, Architecture, Programming and Applications’, Tata McGraw Hill, New Delhi, 2003.

3. S. Salivahanan, A. Vallavaraj, C. Gnanapriya, ‘Digital Signal Processing’, Tata McGraw Hill, New Delhi, 2003.

4. Texas TMS 320C54X user manual (website).

Lesson PlanS.No Date No.of

PeriodTopic Unit No.

1. I Classification of systems I2. I Classification of signals and mathematical

representation I

3. I mathematical representation of signals; spectral density; sampling techniques

I

4. II quantization, quantization error, Nyquist rate, aliasing effect

I

5. II Digital signal representation, analog to digital conversion.

I

6. I Tutorial7. I Z-transform and its properties, inverse z-transforms II8. II difference equation, Solution by z-transform,

application to discrete systemsII

9. II Stability analysis, frequency response, Convolution II10. II Fourier transform of discrete sequence II11. I Discrete Fourier series. II12. II Tutorial13. II DFT properties, magnitude and phase representation III14. II Computation of DFT using FFT algorithm III15. III DIT & DIF - FFT using radix 2 – Butterfly structure III16. III Tutorial17. II FIR & IIR filter realization – Parallel & cascade forms IV18. I FIR design: Windowing Techniques, Need and choice

of windowsIV

19. I Linear phase characteristics. IV20. II IIR design: Analog filter design - Butterworth and

Chebyshev approximationsIV

21. I digital design using impulse invariant and bilinear IV

transformation22. I Warping, prewarping IV23. I Frequency transformation IV24. IV Tutorial25. II Architecture and features of TMS 320C54 signal

processing chip V

26. III Quantization effects in designing digital filters. V

FACULTY INCHARGE H.O.D./EEE