Show that the tradeoff, Wiener, and maximum SNR filters are equivalent up to a real-valued number. Show that the narrowband output SNR of the tradeoff filter is independent of 𝜇 and is identical to...

Show that the tradeoff, Wiener, and maximum SNR filters are equivalent up to a real-valued number.

Show that the narrowband output SNR of the tradeoff filter is independent of 𝜇 and is identical to the narrowband output SNR of the maximum SNR filter, i.e.,

Show that