Convolution with Impulse (Dirac) Function. Convolution with impulse function can be performed by the following properties: 1. X(t) & (t) = x(t). 2. X(t) S(tito) = x(t+to) 3. x(t+t₁) S(t±+₂). = X(t±ti±t₂). EXP Find graphically, the convolution between x(6) and hit) shown below. Sol -1 xit 1 2 y(t) = x(t) @ h(t). = x(t) @ [s(t) = S(t+1)] = X(t) S(t) = X(t) ⓇS(t+1) - X(t) = x (t+1) = X(t) + [_x(t+1)] y(t) = A (t-1) _A (²+2) A: triangular pulse قسـم الكهرباء h(t) x(t)@s(t)= X(t). 14 2 -X(t+1) -1 'yit! K How did he get the value inside the circle t
Convolution with Impulse (Dirac) Function. Convolution with impulse function can be performed by the following properties: 1. X(t) & (t) = x(t). 2. X(t) S(tito) = x(t+to) 3. x(t+t₁) S(t±+₂). = X(t±ti±t₂). EXP Find graphically, the convolution between x(6) and hit) shown below. Sol -1 xit 1 2 y(t) = x(t) @ h(t). = x(t) @ [s(t) = S(t+1)] = X(t) S(t) = X(t) ⓇS(t+1) - X(t) = x (t+1) = X(t) + [_x(t+1)] y(t) = A (t-1) _A (²+2) A: triangular pulse قسـم الكهرباء h(t) x(t)@s(t)= X(t). 14 2 -X(t+1) -1 'yit! K How did he get the value inside the circle t
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