A signal is defined as Assume 4,> 0 for i=1,2,3 and that f2f2fi. (a) State a...

 

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A signal is defined as Assume 4,> 0 for i=1,2,3 and that f2f2fi. (a) State a necessary condition on the frequencies fi. f and f such that x(t) is periodic. (b) State a necessary condition on the amplitudes 4₁, 42 and A, such that x() is said to be low- pass. x(t) = A₁ sin(2nf₁t) + A₂ sin(2xf₂t) + A3 sin(2n fat) (c) Sketch the spectrum X() of the signal manually. Assuming that the (7-1)th digit of your SID + 3 A₁ = for i=1,2,3. Remark for 03(c): 1" digit and fi = 8th digit the (i + 5) th digit of your SID + 1 0.004 For example, if your SID is 1 2 3 4 5 6 7 8, then A=2.25 -2250 A signal is defined as Assume 4,> 0 for i=1,2,3 and that f2f2fi. (a) State a necessary condition on the frequencies fi. f and f such that x(t) is periodic. (b) State a necessary condition on the amplitudes 4₁, 42 and A, such that x() is said to be low- pass. x(t) = A₁ sin(2nf₁t) + A₂ sin(2xf₂t) + A3 sin(2n fat) (c) Sketch the spectrum X() of the signal manually. Assuming that the (7-1)th digit of your SID + 3 A₁ = for i=1,2,3. Remark for 03(c): 1" digit and fi = 8th digit the (i + 5) th digit of your SID + 1 0.004 For example, if your SID is 1 2 3 4 5 6 7 8, then A=2.25 -2250

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Part a A necessary condition for a signal to be periodic is that its fundamental frequency must be an integer multiple of all the other frequencies present in the signalThis means that f gcdf1 f2 f3 w... View the full answer