Find the location of the pole required in a first-order filter that has its zero at such that its 3-dB frequency is at . Sketch the magnitude response (in dB) of the following transfer function, , by...

Find the location of the pole required in a first-order filter that has its zero at such that its 3-dB frequency is at .

Sketch the magnitude response (in dB) of the following transfer function, , by finding the gains at dc and at , as well as the location of the 3-dB frequency.

H z( ) 0.05z z – 0.95