Cuthbert Nyack
Page Index For Analog Signal Processing
These pages are mainly intended as supplementary for students pursuing
electronics or related subjects.
Most of these illustrations are done
with java applets and pages are
best viewed with a java enabled browser.
The applets were originally written to be projected onto a screen during lecture/demonstration and have been tested with a 3GHz PC with Windows XP.
With early versions of WinXP the Java virtual machine must be
downloaded from Sun Microsystems. Later releases of WinXP block
Java applets(This is the continuing saga of Microsoft trying to bring an end to Java). The following message appears: "To help protect your security, Internet Explorer has restricted this file from showing active content that could access your computer. Click here for options..." . To see the applets here active content must be unblocked. The applets only interact with the screen. Some sample GIF files of the applets
are shown.
The pages
here contain Fourier Series Applets, Fourier Transform Applets,
Laplace Transform Applets, Convolution Applets, Analog Filters and
Analog Communication Applets.
Sinusoids
Fourier Series
- Fourier Series Definition
- Fourier Series Alternative forms
- Fourier Series Complex Form
- Fourier Series Symmetry
- Fourier Series Even,Odd
- Fourier Series Existence
- Fourier Series Least Squares Curve Fit
- Fourier Series Time Shift
- Fourier Series Frequency Shift
-
Fourier Series, 4 segment
-
Fourier Series, var. width
-
Fourier Series, Continuous
-
Fourier Series, double Pulse
-
Fourier Series Calculation Square
- Fourier Series Calculation Triangle
- Fourier Series Square to Triangle Wave
- Fourier Series of 1 Sinusoid.
- Fourier Series of 2 Sinusoids.
- Fourier Series Power
- Fourier Recombine Square, Triangle
- Fourier Recombine Parabolic, cubic
- Fourier Recombine Impulses
- Fourier Series Gibbs Phenomenon
- Fourier Series Calculation Pulse
- Fourier Recombine Pulse
- Fourier Series Pulse Train
- Fourier Series Differentiation
- Fourier Series Integration
- Fourier Series Sq wave and RC I/O
- Fourier Series Sq wave and RLC I/O
- Fourier Series Tr and RC I/O
- Fourier Series Ideal Filter I/O
- Fourier Series Nonlinear Phase I/O
- Fourier Series second harmonic distortion
- Fourier Series Crossover Distortion.
- Fourier Series Limited Sinusoidal.
- Fourier Series SCR switching waveform.
- Fourier Series Triac Switching Waveform.
- Fourier Series. Summary of
some simple waveforms.
- Fourier Series, wave equation, vibrating string.
- Fourier Series wave equation, vibrating string 2.
- Fourier Series 1D Potential well in Quantum Mechanics.
- Fourier Series heat diffusion
- Fourier Series temperature
distribution on rectangular Plate.
- Fourier Series Electrostatic
potential in a rectangular cavity.
- 2D Fourier Series Rectangular Membrane Vibrations, Normal Modes.
- 2D Fourier Series Rectangular Membrane Vibrations, Hybrid Modes.
Fourier Transform
- Fourier Transform, Definition
- Fourier Transform, Pulse and Double Pulse
- Fourier Transform, Time Shift
- Fourier Transform Calculation Pulse
- Fourier Transform Calculation Triangle
- Fourier Transform, Damped Exponent, Sinusoid
- Fourier Transform, Time Limited
Sinusoid
- Fourier Transform, Gaussian
-
Fourier Transform of 1 Sinusoid.
-
Fourier Transform of 2 Sinusoids.
- Inverse Fourier Transform
- Inverse Fourier Transform Calculation
- Fourier Transform, Reconstruction of
Rectangular Pulse
- Fourier Transform, Reconstruction of
Triangular Pulse
- Fourier Transform, Reconstruction
of quadratic pulse
- Fourier Transform, Various Pulses.
- Fourier Transform, Modulated Filter
- Frequency and Time Domains
- Fourier Transform, Impulse Response of
Ideal Filter, Channel Capacity
- Fourier Transform, RC response to
a Rectangular Pulse
- Fourier Transform, AutoCorrelation and
Power Spectrum
- Fourier Transform, AutoCorrelation and
Noise
- Fourier Transform, Cosine and Sine
Transforms
- Fourier Transform, Parseval's Theorem
- Fourier Transform, N Pulses
- Fourier Transform, Diffraction
- Fourier Transform, Radiation pattern
Related Transforms
- Short Time Fourier Transform
-
Continuous Wavelet Transform, Gabor and Mexican hat.
-
Continuous Wavelet Transform, Scale and Frequency.
-
Continuous Wavelet Transform, Windowed Sinusoid Scalogram.
-
Continuous Wavelet Transform, Damped Sinusoid Scalogram.
-
Continuous Wavelet Transform, Varying Frequency Scalogram.
-
Continuous Wavelet Transform, Large plus small signal Scalogram.
- 2D Fourier Transform, Definition
- 2D Fourier Transform, "box"
- 2D Fourier Transform, "double box"
- 2D Fourier Transform, "prism"
- Hankel Transform, Definition
- Hankel Transform, "Cylinder"
Convolution
Laplace Transform
- Laplace Transform Definition
- Laplace Transform Convergence
- Laplace Transform Tables
- Laplace Transform, Step and Ramp
- Laplace Transform, Exp and Sine
- Laplace Transform, Derivative
- Laplace Transform Inverse by Partial
Fractions
- Laplace Transform, Roots of Cubic and Quartic.
- Laplace Transform, Roots of Polynomials(order 1 to 5) with DV(Transportation) Lag.
- Laplace Transform, Roots of Polynomials with order 3 to 14.
- Laplace Transform Inverse by Inversion
Integral.
- Laplace Transform, Differential Equations.
- Laplace Transform, Initial and Final
Value Theorems.
- Laplace Transform Single Pole.
- Magnitude Surface, Single Pole.
- Phase Surface, Single Pole.
- Imaginary Surface, Single Pole.
- Real Surface, Single Pole.
- Laplace Transform Double Pole.
- Magnitude Surface, 2 Poles.
- Phase Surface, 2 Poles.
- Laplace Transform 2 CC Poles.
- Magnitude Surface, 2 CC Poles<./I>
- Phase Surface, 2 CC Poles.
- Laplace Transform 1 Zero 2 CC Poles.
- Magnitude Surface, 1 Zero 2 CC Poles.
- Phase Surface, 1 Zero 2 CC Poles.
- Imaginary Surface, 1 Zero 2 CC Poles.
- Real Surface, 1 Zero 2 CC Poles.
- Laplace Transform 3 real poles.
- Magnitude Surface, 3 real poles.
- Phase Surface, 3 real poles.
- Laplace Transform 1 real 2 CC poles.
- Magnitude Surface, 1 real 2 CC poles.
- Phase Surface, 1 real 2 CC poles.
- Imaginary Surface, 1 real 2 CC poles.
- Real Surface, 1 real 2 CC poles.
- Laplace Transform 4 poles.
Linear Processing, Analog Filters