4.6. Polynomial Multiplication
The product of the two polynomials is obtained by convolution operation of their coefficients using the MATLAB function conv. The syntax is given as follows:
conv(x, y)
or
z=conv(x,y)
where
x and y are the vectors of coefficients of polynomials to be multiplied, and
z contains the coefficients of the resultant polynomial.
Example 4.6.
Evaluate the product of two polynomials (s + 2) and (s2 + 4s + 8). Solution: The polynomials are represented by the two vectors x and y: x = [1 2]; y = [1 4 8]; To evaluate the product, the following command is used: z = conv(x, y) The vector z obtained is z = 1 6 16 16 Thus, the product of the two given polynomials x and y is given by the polynomial z, i.e., z = s3 + 6s2 + 16 ... |
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