please help.

[rijaalu]

1.consider the functions

U1(t) = exp(-|t|) and U2 = 1 - A exp(-2|t|)

Determine the constant A, such that U1 and U2 are orthogonal over the interval (- infinity , +infinity).

please help

[aya2002]

Orthogonality

Two periodic signals are orthogonal when the integral of their product over
one period is equal to zero.
For the case of continuous time:

integration from 0 to T for (cos(2pi n f₀t)cos(2pi m f₀t)dt )= 0; (m not equal to n)

To maintain orthogonality between sub-carriers, it is necessary to ensure
that the symbol time contains one or more multiple cycles of each sinusoidal carrier waveform