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Design the equivalent digital filter for the following analogue filter below.

Given the resistance, R =determine:80 kohms and capacitance, C = 1 nF, i) The transfer function of the analogue filter, ii) The cut-off frequency, i) And sketch the magnitude spectrum, with a roll-off of40 dB/decade and stop band attenuation at 40 dB with a transition width of 4 kHz. Now, design the equivalent digital filter based on the specifications above with appropriate assumptions where required when the sampling frequency is 16 kHz. Include the calculations of the first two coefficients of the digital filter.

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