Digital Filter

Digital Filter

1. Filter Structure

   • Direct Form
   • Cascaded Form
   • Polyphase Form
   • Linear Form
   • Complexity
   • Block Digram
   • Canonicity

2. Impulse Response

   • FIR FIlter
   • IIR Filter

3. Magnitude

   • Lowpass
   • Bandpass
   • Highpass

4. Phase

   • Linear
   • Nonlinear

5. Filter Specification

   • Kaiser's Formula
   • Passband Edge
   • Passband Ripple
   • Stopband Edge
   • Stopband Ripple
   • Window Function

6. DTFT

   • DFT
     • FFT
   • Aliasing Formula
     • Sampling Theorem

7. Multi-rate System

   • Intepolation
   • Decimation
   • Ratio
   • Multistage Implementation
   • Filter Bank
     • Quadrature Mirror
     • DFT Struture
   • Polyphase Implementation
     • Noble Identity
   • Signal Flow

8. Random Process

   • Auto-correlation
   • Cross-correlation
   • Power Density
     • Nonparametric
       • Jenkins & Watts
       • Schuster
     • Parametric
       • MA
       • Eigenvalue Analysis
       • ARMA
       • AR
         • Yule-Walker
   • White Noise
     • Weakly Stationary
       • AR Process
       • MA Process
       • ARMA Process
   • Orthogonality Principle
     • Linear Prediction
       • Forward Prediction
       • Backward Prediction
     • Wiener Filter
       • Adaptive Filter
         • LMS ALgorithm
           • Convergence
         • NLMS Algorithm
       • LD Algorithm
       • FIR Filter
       • IIR Filter
       • Steepest Descent
       • Conjugate Gradient
       • Fletcher Powel