An input signal x(t) is sent through three different communication channels, and the corresponding output signals...

 

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An input signal x(t) is sent through three different communication channels, and the corresponding output signals are found to have the following expressions: y(t) = x(t) + 0.2x(t – 3) z(t) = x(t/2) w(t) = x²(t) For each of these channels, verify mathematically if the channel is linear time-invariant (LTI), and in that case write an expression of the channel impulse response h(t) and transfer function H(f), also known as frequency response. An input signal x(t) is sent through three different communication channels, and the corresponding output signals are found to have the following expressions: y(t) = x(t) + 0.2x(t – 3) z(t) = x(t/2) w(t) = x²(t) For each of these channels, verify mathematically if the channel is linear time-invariant (LTI), and in that case write an expression of the channel impulse response h(t) and transfer function H(f), also known as frequency response.

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The first channel is linear and time inv ari ant The impulse response for this channel is h t ... View the full answer