1. Mathematical basis for signal processing Find the z-domain transfer function and impulse response of the following difference equations. You may find it useful to find the poles and zeros

of the transfer functions. \begin{array}{ll} \text { a) } \quad y[n]=1.2 x[n]+2.3 x[n-1]-3.4 x[n-2] \end{array} \begin{array}{ll} \text { b) } \quad y[n]=3 x[n]-x[n-1]+0.7 y[n-1]-0.12 y[n-2] \end{array}