Consider the following difference equation, which describes a filter with input and output . Determine when is an impulse (i.e., when the impulse is 1 at and 0 otherwise) assuming ....

Consider the following difference equation, which describes a filter with input and output . Determine when is an impulse (i.e., when the impulse is 1 at and 0 otherwise) assuming .

                             y n( ) u n( ) 0.3 –= y n( )

Find a first-order that has a 3-dB frequency at , a zero at –1, and a dc gain of 1. Sketch the magnitude response from to .