Question

In transmission system, noise process N(t) having powerdensity

S.(0) = [(P)/(P + w*)], where P >0 is a constant is mixed with a single A cos(1)

Determine

(a) the average signal-to-noise ratio

(b) the value of P such that SNR is maximum,

What is the effect of choosing this value of P?

Answer 1

Signal to noise ratio (SNR) is the ratio of signal to noise. Higher ratio means more signal than noise which is desirable properties.

SNR=Psignal/Pnoise

For more SNR, P signal should me more. Both P signal and P noise should be measured in same units.

SNR=Pavg/Navg

SNR=PAcos1/(PAcos1+w)