Problem (1) (a) Briefly outline four of the main advantages and one disadvantage of digital signal processing (DSP) as opposed to analogue signal processing. [1 marks] (b) Define with example each of the following terms as applied to discrete time signal processing systems: (i) linearity (ii) time-invariance (iii) causality (iv) stability [2 Marks] (c) Produce a signal-flow-graph for each of the following difference-equations (i) y[n] = x[n] + 0.5 x[n-1] 0.5 x[n-2] (ii) y[n] = x[n] + x[n-1] + 0.5 y[n-1] Determine the impulse-response of each of these difference equations. [2 marks] (d) Calculate the output from difference-equation (ii) when the input is the impulseresponse of difference-equation (i). [