Let X be a set of signals on the domain D = {−6, −5, . . . , 4, 5} :
X = {hxϕ,A[n]i | n ∈ D, A ∈ R, ϕ ∈ [0, 2π[ }
Consider the following signals from X:
b1 = sin((π/6)n + π/8), b2 =0.5sin((π/6)*n +(5π)/8)
prove that the set B = {b1, b2} is a basis of X!
Im currently struggling with this task. The problem i have with the proof of linear independency is because of the discret values in our domain D. Any help for solving this problem would be welcome. i already proved the span of the basis.