Let 𝜆1 ≥ 𝜆 2 ≥ ⋯ ≥ 𝜆M ≥ 0 and let am, m = 1, 2, …, M denote arbitrary complex numbers with at least one of them different from 0. Prove that Show that the class of filters 𝐚Q makes a compromise...

Let 𝜆1
≥ 𝜆₂
≥ ⋯ ≥ 𝜆M ≥ 0 and let am, m = 1, 2, …, M denote arbitrary complex numbers with at least one of them different from 0. Prove that

Show that the class of filters 𝐚Q makes a compromise between large values of the output SINR and small values of the MSE; that is,