the corresponding digital filter (z-transform) transfer function using the matched z-transform and the bilinear transformation.

1. We wish to design a digital filter based upon a one-pole (first-order) low-pass filter whose cutoff frequency is 100 rad/sec.  The sampling frequency is 300 rad/sec.  Find the s-domain transfer function.  Find the corresponding digital filter (z-transform) transfer function using the matched z-transform and the bilinear transformation.  (There will be one s-domain transfer function and two z-domain transfer functions.)