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(Solved): Figure 1 shows the periodic rectangular pulses x(t) whose period is T(=(1)/(f_(0))). The Fourier se ...



Figure 1 shows the periodic rectangular pulses

x(t)

whose period is

T(=(1)/(f_(0)))

. The Fourier series expansion of

x(t)

is given as

x(t)=\sum_(n=-\infty )^(\infty ) D_(n)e^(j2\pi nf_(0)t).

Derive the coefficient

D_(n)

. Let's input the above periodic rectangular pulses

x(t)

into the ideal low-pass filter whose cut-off frequency is

y(t)\tau ->0x(t)x(t)s(t)S(f)s(t)g(t)G(f)g_(s)(t)g(t)f_(s)G_(S)(f)g_(s)(t)G_(S)(f)f=-3Bf=3B


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