P_SUM Function

Computes the sum of two polynomials.

Usage

result = P_SUM(a, b)

Input Parameters

a—The array of coefficients of the first polynomial.

b—The array of coefficients of the second polynomial.

Returned Value

result—An array of coefficients representing the sum of two polynomial coefficient arrays.

Keywords

None.

Discussion

Given two polynomials A(z) and B(z), such as:

A(z) = a₀ + a₁z^–1 + a₂z^–2 + ... + a_Nz^–N

and:

B(z) = b₀ + b₁z^–1 + b₂z^–2 + ... + b_Mz^–M

their polynomial sum is simply:

C(z) = A(z) + B(z)

The degree of the resulting polynomial C(z) is the maximum of the degrees (N and M) of the two supplied polynomials A(z) and B(z).

Example

In this example, two polynomials, A(z) = 1 + 3z^–1,
and B(z) = 1 + 2z^–1 + 2z^–2 + z^–3  are added together using P_SUM.

a = [1, 3]

b = [1, 2, 2, 1]

c = P_SUM(a, b)

PM, c

; 2

; 5

; 2

; 1