Understanding Digital Signal Processing 

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• 1. Main Page

• 2. Table of Contents

• 3. Copyright

  Copyright Dedication

• 4. About Prentice Hall Professional Technical Reference

  About Prentice Hall Professional Technical Reference

• 5. Preface

  Preface

• 6. LEARNING DIGITAL SIGNAL PROCESSING

  LEARNING DIGITAL SIGNAL PROCESSING

• 7. THE JOURNEY

  THE JOURNEY

• 8. COMING ATTRACTIONS

  COMING ATTRACTIONS

• 9. ACKNOWLEDGMENTS

  ACKNOWLEDGMENTS

• 10. Chapter One.  Discrete Sequences and Systems

  Chapter One. Discrete Sequences and Systems

• 11. Section 1.1.  DISCRETE SEQUENCES AND THEIR NOTATION

  1.1. DISCRETE SEQUENCES AND THEIR NOTATION

• 12. Section 1.2.  SIGNAL AMPLITUDE MAGNITUDE POWER

  1.2. SIGNAL AMPLITUDE MAGNITUDE POWER

• 13. Section 1.3.  SIGNAL PROCESSING OPERATIONAL SYMBOLS

  understanding digital signal processing

• 14. Section 1.4.  INTRODUCTION TO DISCRETE LINEAR TIME-INVARIANT SYSTEMS

  1.4. INTRODUCTION TO DISCRETE LINEAR TIME-INVARIANT SYSTEMS

• 15. Section 1.5.  DISCRETE LINEAR SYSTEMS

  1.5. DISCRETE LINEAR SYSTEMS

• 16. Section 1.6.  TIME-INVARIANT SYSTEMS

  1.6. TIME-INVARIANT SYSTEMS

• 17. Section 1.7.  THE COMMUTATIVE PROPERTY OF LINEAR TIME-INVARIANT SYSTEMS

  1.7. THE COMMUTATIVE PROPERTY OF LINEAR TIME-INVARIANT SYSTEMS

• 18. Section 1.8.  ANALYZING LINEAR TIME-INVARIANT SYSTEMS

  1.8. ANALYZING LINEAR TIME-INVARIANT SYSTEMS

• 19. REFERENCES

  REFERENCES

• 20. Chapter Two.  Periodic Sampling

  Chapter Two. Periodic Sampling

• 21. Section 2.1.  ALIASING SIGNAL AMBIGUITY IN THE FREQUENCY DOMAIN

  2.1. ALIASING: SIGNAL AMBIGUITY IN THE FREQUENCY DOMAIN

• 22. Section 2.2.  SAMPLING LOW-PASS SIGNALS

  2.2. SAMPLING LOW-PASS SIGNALS

• 23. Section 2.3.  SAMPLING BANDPASS SIGNALS

  2.3. SAMPLING BANDPASS SIGNALS

• 24. Section 2.4.  SPECTRAL INVERSION IN BANDPASS SAMPLING

  2.4. SPECTRAL INVERSION IN BANDPASS SAMPLING

• 25. REFERENCES

  REFERENCES

• 26. Chapter Three.  The Discrete Fourier Transform

  Chapter Three. The Discrete Fourier Transform

• 27. Section 3.1.  UNDERSTANDING THE DFT EQUATION

  3.1. UNDERSTANDING THE DFT EQUATION

• 28. Section 3.2.  DFT SYMMETRY

  3.2. DFT SYMMETRY

• 29. Section 3.3.  DFT LINEARITY

  3.3. DFT LINEARITY

• 30. Section 3.4.  DFT MAGNITUDES

  3.4. DFT MAGNITUDES

• 31. Section 3.5.  DFT FREQUENCY AXIS

  3.5. DFT FREQUENCY AXIS

• 32. Section 3.6.  DFT SHIFTING THEOREM

  3.6. DFT SHIFTING THEOREM

• 33. Section 3.7.  INVERSE DFT

  3.7. INVERSE DFT

• 34. Section 3.8.  DFT LEAKAGE

  3.8. DFT LEAKAGE

• 35. Section 3.9.  WINDOWS

  window function frequency resolution main lobe

• 36. Section 3.10.  DFT SCALLOPING LOSS

  3.10. DFT SCALLOPING LOSS

• 37. Section 3.11.  DFT RESOLUTION ZERO PADDING AND FREQUENCY-DOMAIN SAMPLING

  32 point fft zero padding 128 point fast computation

• 38. Section 3.12.  DFT PROCESSING GAIN

  3.12. DFT PROCESSING GAIN

• 39. Section 3.13.  THE DFT OF RECTANGULAR FUNCTIONS

  3.13. THE DFT OF RECTANGULAR FUNCTIONS

• 40. Section 3.14.  THE DFT FREQUENCY RESPONSE TO A COMPLEX INPUT

  3.14. THE DFT FREQUENCY RESPONSE TO A COMPLEX INPUT

• 41. Section 3.15.  THE DFT FREQUENCY RESPONSE TO A REAL COSINE INPUT

  3.15. THE DFT FREQUENCY RESPONSE TO A REAL COSINE INPUT

• 42. Section 3.16.  THE DFT SINGLE-BIN FREQUENCY RESPONSE TO A REAL COSINE INPUT

  3.16. THE DFT SINGLE-BIN FREQUENCY RESPONSE TO A REAL COSINE INPUT

• 43. Section 3.17.  INTERPRETING THE DFT

  3.17. INTERPRETING THE DFT

• 44. REFERENCES

  REFERENCES

• 45. Chapter Four.  The Fast Fourier Transform

  Chapter Four. The Fast Fourier Transform

• 46. Section 4.1.  RELATIONSHIP OF THE FFT TO THE DFT

  4.1. RELATIONSHIP OF THE FFT TO THE DFT

• 47. Section 4.2.  HINTS ON USING FFTS IN PRACTICE

  4.2. HINTS ON USING FFTS IN PRACTICE

• 48. Section 4.3.  FFT SOFTWARE PROGRAMS

  4.3. FFT SOFTWARE PROGRAMS

• 49. Section 4.4.  DERIVATION OF THE RADIX-2 FFT ALGORITHM

  4.4. DERIVATION OF THE RADIX-2 FFT ALGORITHM

• 50. Section 4.5.  FFT INPUTOUTPUT DATA INDEX BIT REVERSAL

  4.5. FFT INPUTOUTPUT DATA INDEX BIT REVERSAL

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