What is a composite transfer function?

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A composite transfer function represents the combined effect of multiple system components, such as a transmitter, channel, and matched filter, each with its own transfer function. In the context of an ultra wide band system, it is expressed as F(z) = a0 + a1z^-1 + a2z^-2. This function captures the overall behavior of the system when these elements operate together. Understanding the composite transfer function is essential for designing an effective digital equalizer, like the two-tap equalizer Heq(z) = w0 + w1z^-1, which aims to approximate an IIR zero-forcing equalizer. The discussion emphasizes the importance of recognizing how individual transfer functions contribute to the system's overall performance.
Ian_Brooks
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Homework Statement



Let F(z) = a0 + a1z-1 + a2z-2 denote the composite transfer function of the transmitter, channel and the matched filter in this ultra wide band system. Find a two tap digital equalizer Heq(z) = w0 + w1z-1 that approximates an IIR zero-forcing equalizer for F(z).

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The Attempt at a Solution



I just want to know what a composite transfer function is - i'll try the problem myself.
 
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I would suppose that the 3 elements of the system you mentioned, namely the transmitter, the channel and the matched filter each have a transfer function of their own. The composite transfer function would be the overall transfer function of all three operating together.
 

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