Advanced Filter Design for Signal Processing using
MATLAB
and
Mathematica
Contents
Transforms
- Phasor Transformation
- The Representation of a Sinusoid by a Phasor
- Properties of the Phasor Transform
- Application of the Phasor Transform
- Sinusoidal Steady-State Response
- Non Sinusoidal Steady-State Response
- Transfer Function and Frequency Response
- Partial Transfer Function and Transfer-Function Matrix
- Application Examples of Phasor Method
- Solving a Second-Order System
- Fourier Series and Harmonic Analysis
- The Fourier Series
- Complex Form of the Fourier Series
- Parseval's Identity
- Harmonics of Periodic Signals
- Gibbs Phenomenon
- Amplitude and Phase Spectrum of Periodic Signals
- Sequence of Short Square Pulses
- Steady-State Response of a System to a
Non-Sinusoidal Periodic Stimulus
- Fourier Transform
- Definition of the Fourier Transform
- Properties of the Fourier Transform
- Convolution
- Modulation Property
- Parseval's Theorem and Energy Spectral Density
- Properties of the Fourier Transform of Real Signals
- Causal Signals and the Hilbert Transform
- Application of the Fourier Transform
- Fourier Transform of Sampled Signals and the Sampling Theorem
- Fourier Transform of Periodic Signals and Power Spectral Density
- Fourier Transform and the Phasor Method
- Laplace Transform
- Definition of the Laplace Transform
- Properties of the Laplace Transform
- Uniqueness
- Homogeneity
- Additivity
- Differentiation
- Convolution
- The Inverse Laplace Transform of Rational Functions
- Standard Laplace Transform Pairs
- Transfer Function of Continuous-Time Systems
- Partial Transfer Function and Transfer-Function Matrix
- Discrete Fourier Transform
- Definition of the Discrete Fourier Transform
- Properties of the Discrete Fourier Transform
- Uniqueness
- Homogeneity
- Additivity
- Linearity
- Shifting
- Cyclic Convolution
- Symmetry
- Parseval's Identity and Power Spectrum
- Cyclic Correlation
- Computation of the Fourier Series Coefficients by DFT
- Computation of the Fourier Integral by DFT
- Frequency Response of Discrete-Time Systems
- The z Transform
- Definition of the z Transform
- Properties of the z Transform
- Uniqueness
- Homogeneity
- Additivity
- Linearity
- Shifting
- Convolution
- Scaling
- Differentiation
- Standard z Transform Pairs
- Transfer Function of Discrete-Time Systems
- Partial Transfer Function and Transfer-Function Matrix
- Analysis of LTI Systems by Transform Method
- Continuous-Time LTI Systems
- Discrete-Time LTI Systems
- Analog LTI Circuits
- Example Mathematica Notebooks
This page is maintained by
Prof. Dr Miroslav D. Lutovac
and
Prof. Dr Dejan V. Tosic.
Please send comments to
lutovac@galeb.etf.bg.ac.yu
and
tosic@telekom.etf.bg.ac.yu.
Last updated 1999/02/24 00:33.