graphical notes on Z–TRANSFORMS applets: Fundamental difference between continuous and discrete time signals, discrete time signal representation using complex exponential and sinusoidal components, Periodicity of discrete time usingcomplex exponential signal, Concept of Z- Transform of a discrete sequence. Distinction between Laplace, Fourier and Z transforms. Region of convergence in Z-Transform, constraints on ROC for various classes of signals, Inverse Z-transform, properties of Z-transforms.

Z–TRANSFORMS : Fundamental difference between continuous and discrete time signals, discrete time signal representation using complex exponential and sinusoidal components, Periodicity of discrete time usingcomplex exponential signal, Concept of Z- Transform of a discrete sequence. Distinction between Laplace, Fourier and Z transforms. Region of convergence in Z-Transform, constraints on ROC for various classes of signals, Inverse Z-transform, properties of Z-transforms.


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Z Transform, Sampling and the DTFT.
• 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.
• Roots of cubic and quartic polynomials.
• Roots of polynomials order 3 to 14.
• Inverse Z transform using inversion integral.
• Z transforms and difference equations.
• Inverse Z transform using Division.
• Relation of Z transform to Laplace transform.
• Mapping s plane semiellipse to Z plane.
• Z plane and Stability
• Relation between Z transform, the Fourier transform and the DTFT.
• DTFT, 2 Negative Exponents.
• DTFT, Time Limited Unit Step
• DTFT, Time Limited Square Wave
• DTFT, Damped Sine.
• DTFT, 2 Sinusoids
• DTFT, Time Limited Cosine.
• 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.
• Z Transform and Discrete Convolution.
• Z Transform and System Response.
• DeConvolution.
• System identification.
• Matched Filter.
• Correlation 1.
• Correlation 2.
• RC Step Response by Convolution.
• RC Step Response by Difference Equation.