2. Analysis and design of signal processing systems This question will work through the design of a first order IIR low pass filter using the bilinear transform method. The filter

specification is as follows: Sample frequency fs = 48khz Corner frequency fb = 16 kHz a)Calculate the pre-warped radian break frequency, wb' b)Find the z-domain transfer function of the filter. Use the substitution c)Explain what would happen if you had not used the pre-warped frequency in the design. [2] S \rightarrow \frac{2}{T}\left(\frac{1-z^{-1}}{1+z^{-1}}\right)