Linear System Discrete-Time Signals and Systems--Digital Signal Processing Definition If y1(n)is the output due to an input x1(n)and y2(n)is the output due to an input x2(n)then for an input x[n]=ax [n]+bx2[n] the output is given by y[n]=ay[n]+by2[n] Above property must hold for any arbitrary constants a and B for all possible inputs x1(n)and x2(n) In other words,the system considered satisfies the principle of Superposition 上游充通大学Linear System  Definition If y1(n) is the output due to an input x1(n) and y2(n) is the output due to an input x2(n) then for an input x[n]=ax1 [n]+bx2 [n] the output is given by y[n]=ay1 [n]+by2 [n]  Above property must hold for any arbitrary constants α and β for all possible inputs x1(n) and x2(n)  In other words, the system considered satisfies the principle of Superposition Discrete-Time Signals and Systems —— Digital Signal Processing