Transformation Matrix for Time Discretization Based on Tustin’s Method

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="905791.fig.003a" src="https://static-preview.hindawi.com/articles/mpe/volume-2014/905791/figures/905791.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>The amplitude-frequency response of normalized analog low-pass filter</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="905791.fig.003b" src="https://static-preview.hindawi.com/articles/mpe/volume-2014/905791/figures/905791.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>The amplitude-frequency response of digital low-pass filter</td></tr></table></td></tr></table>

<table>Simulation of amplitude frequency response.</table>

Mathematical Problems in Engineering

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Figure 3

Figure 3: Transformation Matrix for Time Discretization Based on Tustin’s Method 