Write out the general form of difference equation, Electrical Engineering

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Write out the General Form of Difference Equation?

If the x[n] is the input and y[n] is the output of a linear time-invariant system, then an N order FIR difference equation that describes the system has the form of:

y[n] = a[0]x[n] + a[1]x[n - 1] + ... + a[N]x[n - N]

383_General Form of Difference Equation 1.png

and for an N order IIR difference equation has the form of:

y[n] = a[0]x[n] + a[1]x[n - 1] + ... +a[N]x[n - N]

- b[1]y[n - 1] - b[2]y[n - 2] - ... - b[M]y[n - M]

1803_General Form of Difference Equation 2.png

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