· Basic operations on matrices
· Generation on various signalsand sequences, such as unit impulse, unit step, square, saw-tooth, triangular,sinusoidal, ramp, sinc, etc.
· Operations on signals andsequences such as addition, multiplication, scaling, shifting, folding,computation of energy and average power
· Finding the even and odd partsof signal/sequence and real and imaginary part of signal
· Convolution between signals andsequences
· Auto correlation and crosscorrelation between signals and sequences
· Verification of linearity andtime invariance properties of a given continuous/discrete system
· Computation of unit sample,unit step and sinusoidal response o the given LTI system and verifying itsphysical realizability and stability properties
· Gibbs phenomenon
· Finding the Fourier transform ofa given signal and plotting its magnitude and phase spectrum
· Waveform synthesis usingLaplace transform
· Locating the zeros and polesand plotting the pole zero maps in s-plane and z-plane for the given transferfunction
· Generation of Gaussian noisecomputation of its mean, M.S value and its skew, kurtosis, and PSD, probabilitydistribution function
· Sampling theorem verification
· Removal of noise by autocorrelation/cross correlation
· Extraction of periodic signalmasked by noise using correlation
· Verification ofWeiner-Khinchine relations
· Checking a random process forstationary in wide sense