A rectangular pulse existing between t = 0 and t = T and having an amplitude A is to be received by a matched filter

(a) Draw the impulse response of the matched filter labeling all important points and the axes.
(b) Find the signal shape at the filter output. Lable all important points and axes.

Companding in PCM systems leads to improved signal - to - quantization noise ratio. This improvement is for

White Gaussian noise is passed through a linear narrow band filter. The probability density function of the envelope of the noise at the filter output is:

The variance of a random variable X is $$\sigma _x^2\,.$$ Then the variance of - kx (where k is a positive constant ) is