As shown in Example 6–8, the output signal-to-noise ratio of an RC LPF is given by Eq. (6–95) when the input is a sinusoidal signal plus white noise. Derive the value of the RC product such that the output signal-to-noise ratio will be a maximum.
SIGNAL-TO-NOISE RATIO AT THE OUTPUT OF A RC LOW-PASS FILTER
Refer to Fig. 6–9 again, and assume that x(t) consists of a sine-wave (deterministic) signal plus white ergodic noise. Thus,