Wequalizers

Wequalizers - ECE 301 Detailed Solutions - Set 6: Analog...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 301 Detailed Solutions - Set 6: Analog Equalizers 1 6-2. A channel transfer function having no interference is given by C s = s s 62 ; 832 A signal x t is sent through this channel and the received signal r t is given by r t = c t ? x t . The received signal r t is then input to an inverse filter equalizer which was designed for the channel C s . The output of this equalizer is the signal y t . Compute the simplest math form for y t as a function of r t . DETAILED SOLUTION: From the Notes we know that y t , the output of the equalizer, is given by y t = h E t ? r t a The s-domain relation corresponding to a is given by Y s = H E s R s b The function H E s is the transfer function of the inverse filter equalizer. Using C s given in the problem statement we have H E s = 1 C s = s 62 ; 832 s = 1 62 ; 832 s c Substitute c into b to see the s-domain expression for Y s : Y s = h 1 62 ; 832 s i R s = R s 62 ; 832 h 1 s R s i d Taking the inverse Laplace transform of both sides of d will give the desired answer. To do this we need the relation between dividing by s in the s-domain and integration in the time-domain. For a general signal g t this relation is as follows: If g t G s e then Z t = g d 1 s G s f Applying f to the specific s-domain function R s in d then gives the desired answer: y t = r t 62 ; 832 Z t = r d g ECE 301 Detailed Solutions - Set 6: Analog Equalizers 2 6-3. A channel transfer function is C s = s 50 . A signal x t is sent through this channel and...
View Full Document

Page1 / 5

Wequalizers - ECE 301 Detailed Solutions - Set 6: Analog...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online