Z Transform
• Sampling and Definition of Z transform
• Z transform, Convergence
• Z transform of step and related functions
• Z transform of ramp and parabola
• Z transform of exp and sinusoid
• Table of Z transforms
• Properties of Z transforms
• Inverse Z transform by listing terms
• Inverse Z transform by partial fraction expansion
• Inverse Z transform using inversion integral
• Z transforms and difference equations
• Z transforms and Discrete Convolution
• Relation of Z transform to Laplace transform
• Mapping s plane semiellipse to Z plane
• Relation between Z transform and Fourier transform
• Z plane and Stability
• Z Transform and System Response

Sampling and the Discrete Time Fourier Transform(DTFT)
• Introduction
• Sampling, Frequencies in Sampled Signal
• Sampling, Reconstruction of Sampled Signal
• Sampling, Reconstruction of Presampled Signal
• Sampling, Triangular Spectrum and Aliasing.
• Sampling, Sample Width and Signal Spectrum.
• DTFT, Negative Exponent
• DTFT, Damped Sine, Aliasing
• DTFT, Time Limited Unit Step
• DTFT, Time Limited Cosine
• DTFT, Time Limited Square Wave

Simple Z plane pole zero filters
• Introduction
• 1 Pole Frequency Response
• 1 Pole Impulse Response
• 1 Pole Magnitude in unit Circle
• 1 Pole Phase in unit circle
• 1 Pole/1 Zero Frequency Response
• 1 Pole/1 Zero Impulse Response
• 1 Pole/1 Zero Magnitude in unit Circle
• 1 Pole/1 Zero Phase in unit circle
• 2 Poles Frequency Response
• 2 Poles Impulse Response
• 2 Poles Magnitude in unit Circle
• 2 Poles Phase in unit circle
• 2 Poles/2 Zeros Frequency Response
• 2 Poles/2 Zeros Impulse Response
• 3 Poles Frequency Response
• 3 Poles Impulse response
• 3 Poles Magnitude in unit Circle
• 3 Poles Phase in unit circle
• 4 Poles Frequency Response
• First order AllPass Filter
• Second Order AllPass Filter
• Linear Phase Filter
• Comb Filter
• Inverse Comb Filter
• Inverse Comb with Cancelled Zeros

Infinite Impulse Response Filters
• Infinite Impulse Response Filters, Introduction
• Impulse Invariant Response, Introduction
• Impulse Invariant Response, 2nd Order Butterworth Lowpass
• Impulse Invariant Response, 2nd Order Butterworth Lowpass, Impulse Response
• Impulse Invariant Response, 2nd Order Butterworth Lowpass, Magnitude Surface
• Impulse Invariant Response, 3rd Order Butterworth lowpass
• Step Invariant Response, Introduction
• Step Invariant Response, 2nd Order Butterworth Lowpass
• Step Invariant Response, 2nd Order Butterworth Lowpass, Impulse, Step Response
• Step Invariant Response, 2nd Order Butterworth Lowpass, Magnitude Surface
• Step Invariant Response, 3rd Order Butterworth lowpass
• Matched Z, Introduction
• Matched Z, 2nd Order Butterworth Lowpass
• Matched Z, 2nd Order Butterworth Lowpass. Impulse Response
• Matched Z, 2nd Order Butterworth Lowpass. Magnitude Surface
• Matched Z, 3rd Order Butterworth lowpass
• Matched Z with zeros, 2nd Order Butterworth Lowpass
• Matched Z with zeros, 3rd Order Butterworth lowpass
• Matched Z, 2nd,3rd Order Butterworth highpass
• Bilinear Transformation, Introduction
• Bilinear Transformation, 2nd Order Butterworth Lowpass
• Bilinear Transformation, 2nd Order Butterworth Lowpass, Impulse Response
• Bilinear Transformation, 2nd Order Butterworth Lowpass, Magnitude Surface
• Bilinear Transformation without prewarping, 2nd Order Butterworth Lowpass
• Bilinear Transformation, 3rd Order Butterworth lowpass
• Bilinear Transformation, 3rd Order Butterworth, Magnitude Surface
• Bilinear Transformation, 2nd,3rd Order Butterworth highpass
• Mirror Image Polynomials, Sin, Low Pass
• Mirror Image Polynomials, Sin, High Pass
• Mirror Image Polynomials, Tan, Low Pass
• Mirror Image Polynomials, Tan, High Pass
• Mirror Image Polynomials, Tan, Low Pass(log)

FIR Filters
• Fourier Series low pass.
• Fourier Series high pass.
• Fourier Series band pass.
• Fourier Series band pass 2.
• Fourier Series band stop.
• Fourier Series triangle.
• Fourier Series low pass, window 1.
• Fourier Series low pass, window 2.
• Fourier Series low pass, window comparison.

For Analog Signal Processing see:- cnyack
For Circuits see:- circuits-can
For Control see:- control-can