linear convolution by graphical,tabulatio​n and matrix method

The project on linear convolution by graphical, tabulation, and matrix methods concludes that each method offers distinct advantages

Graphical method :

vPlot input signals x[n] and h[n].

vFlip h[n] to h[-n].

vSlide h[-n] across x[n] , multiplying and summing at each step.

vOutput y[n] is the sum of these products.

Tabulation method:

vTabulate x[n] and h[n] with corresponding indices and values.

vMultiply corresponding values and sum to get y[n] for each index.

Matrix method:

vRepresent x[n] and h[n] as row vectors.

vCreate a convolution matrix with rows of h[n] in reverse order.

vMultiply the matrix with x[n] to obtain y[n].

These methodologies provide different ways to compute linear convolution, each with its own advantages and computational considerations.