The Ideal Lowpass Filter Least-Squares Impulse Response Design Examples Frequency-Sampling FIR Design The Window Method Matlab Support for the Window Method Bandpass Filter Design Example Matlab code Results In case you don't have the Matlab Signal Processing Toolbox Comparison to the Optimal Chebyshev FIR Bandpass Filter Matlab code Results Hilbert Transform Design Example Choice of Kaiser Window Windowing an ``Ideal'' Impulse Response Hilbert Transformer by the Window Method Comparison to Optimal Chebyshev FIR Filter Conclusions Comparison to use of the hilbert function Postlude on Hilbert Transform Theory Generalized Window Method Minimum Phase Filter Design Minimum Phase and Causal Cepstra Optimal FIR Digital Filter Design Filter Specifications Ideal Lowpass Filter Revisited Optimal Least-Squares Filters Optimal Chebyshev Filters Lp norms Special cases Filter Design using Lp Norms Least-Squares Linear-Phase FIR Filter Design Matrix Formulation: Optimal Design, Cont'd Least Squares Optimization Geometrical Interpretation of Least Squares Matlab Support for Least-Squares FIR Filter Design Chebyshev Optimal Linear Phase filter Design More General Real FIR Filters Complex FIR Filter Design Related Paper Arbitrary FIR Magnitude and Phase Specification Second-Order Cone Problems (SOCP) Nonlinear Optimization in Octave

• The Ideal Lowpass Filter
• Least-Squares Impulse Response Design
  • Examples
• Frequency-Sampling FIR Design
• The Window Method
  • Matlab Support for the Window Method
  • Bandpass Filter Design Example
    • Matlab code
    • Results
    • In case you don't have the Matlab Signal Processing Toolbox
    • Comparison to the Optimal Chebyshev FIR Bandpass Filter
    • Matlab code
    • Results
• Hilbert Transform Design Example
  • Choice of Kaiser Window
  • Windowing an ``Ideal'' Impulse Response
  • Hilbert Transformer by the Window Method
  • Comparison to Optimal Chebyshev FIR Filter
    • Conclusions
  • Comparison to use of the hilbert function
• Postlude on Hilbert Transform Theory
• Generalized Window Method
• Minimum Phase Filter Design
• Minimum Phase and Causal Cepstra
• Optimal FIR Digital Filter Design
  • Filter Specifications
  • Ideal Lowpass Filter Revisited
  • Optimal Least-Squares Filters
  • Optimal Chebyshev Filters
  • Lp norms
    • Special cases
    • Filter Design using Lp Norms
  • Least-Squares Linear-Phase FIR Filter Design
    • Matrix Formulation: Optimal  Design, Cont'd
    • Least Squares Optimization
    • Geometrical Interpretation of Least Squares
    • Matlab Support for Least-Squares FIR Filter Design
  • Chebyshev Optimal Linear Phase filter Design
  • More General Real FIR Filters
  • Complex FIR Filter Design
    • Related Paper
  • Arbitrary FIR Magnitude and Phase Specification
  • Second-Order Cone Problems (SOCP)
  • Nonlinear Optimization in Octave