Digital Signal Processing (DSP)

  1. The Z-Transform
    1. Z-Transform Definition
      1. Mathematical Formulation
        1. Bilateral Z-Transform
          1. Unilateral Z-Transform
            1. Relationship to Other Transforms
            2. Region of Convergence
              1. ROC Definition and Importance
                1. ROC Properties
                  1. ROC for Right-Sided Sequences
                    1. ROC for Left-Sided Sequences
                      1. ROC for Two-Sided Sequences
                        1. ROC for Finite-Duration Sequences
                        2. ROC and System Properties
                          1. Causality and ROC
                            1. Stability and ROC
                              1. ROC for Rational Z-Transforms
                            2. Z-Transform Properties
                              1. Linearity Property
                                1. Time Shifting Property
                                  1. Scaling in Z-Domain
                                    1. Time Reversal Property
                                      1. Differentiation in Z-Domain
                                        1. Convolution Property
                                          1. Correlation Property
                                            1. Initial Value Theorem
                                              1. Final Value Theorem
                                              2. Common Z-Transform Pairs
                                                1. Unit Impulse Transform
                                                  1. Unit Step Transform
                                                    1. Exponential Sequence Transform
                                                      1. Sinusoidal Sequence Transform
                                                        1. Ramp Sequence Transform
                                                        2. Inverse Z-Transform Methods
                                                          1. Power Series Expansion Method
                                                            1. Partial Fraction Expansion Method
                                                              1. Contour Integration Method
                                                                1. Long Division Method
                                                                  1. Inspection Method
                                                                  2. System Function Analysis
                                                                    1. Transfer Function Definition
                                                                      1. Poles and Zeros
                                                                        1. Pole-Zero Plot
                                                                          1. Geometric Interpretation
                                                                            1. Effect on System Response
                                                                            2. System Stability from Pole Locations
                                                                              1. System Causality from ROC
                                                                                1. Frequency Response from System Function

                                                                              Previous

                                                                              2. Discrete-Time Signals and Systems

                                                                              Go to top

                                                                              Next

                                                                              4. Frequency Analysis of Discrete-Time Signals