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- Familiarizing with MATLAB/OCTAVE/SCI-LAB.
- To generate basic signals such as impulse, unit step, exponential and sinusoidal signals in continuous and discrete-time domains using MATLAB/OCTAVE/ SCI-LAB.
- Implement the signal modification techniques like time scaling, time shifting, multiplication, amplitude scaling for a given continuous and discret-time signals using MATLAB/OCTAVE/ SCI-LAB.
- To determine the impulse and step response of a system given the difference equation or differential equation. Determine whether the system is linear, time invariant and stable from the impulse or step response.
- To implement convolution, sum and integration given the impulse response and input signal in MATLAB/OCTAVE/SCI-LAB. Find the auto correlation and cross correlation for given signals. Implement correlation from convolution sum/integration.
- Find the spectral components of a given signal using Fourier series and Fourier transform. Study the nature of the transformation when the signal is: (I). real and periodic and (ii). real and aperiodic. (Check whether the Parseval’s relation holds or not.)
- Find the Laplace transform of a continuous time signal along with the poles-zero plot . Comment on the nature of the signal/system such as stability, causality from the pole zero plot. Show that, Laplace transform converges to Fourier transform when evaluated on the Imaginary axis.
- Find the Z-transform of a discrete-time signal along with the pole-zero plot. Comment on the nature of the signal/system such as stability, causality from the pole-zero plot. Show that, Z-transform converges to Fourier transform when evaluated on the unit circle.