the design of a recursive digital filter which might…

1. Use the standard frequency-warping formula to determine the frequencies at which the analogue prototype must have the gains of -1 dB and -96 dB (remember, at this point the sampling frequency is still 44.1kHz). 2. Using these results and the formula for the amplitude response of a Butterworth filter (see below), determine the order and -3 dB frequency of the warped analogue prototype. 3. Use the frequency warping formula to calculate the -3 dB frequency of the resulting digital filter. 4. Prepare a Microsoft-Word document which shows and explains the mathematical logic of stages 1-3 above and gives the numerical results obtained. 5. Submit the document via the Victory assignments drop-box before the deadline