A sampled sine wave 1.0 0.5 - PowerPoint PPT Presentation

A sampled sine wave 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 ● ● ● ● ● ● ● ● r(t) 0.0 ● ● ● ● ● ● −0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● −1.0 0 5 10 15 20 t • 4 levels; -0.75; -0.25; 0.25; 0.75 • Decision thresholds: -0.5; 0; 0.5 X L A TEX E

Adding ISI gain d -0.4 + X L A TEX E

What we receive input = sin ( t /3) 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● r(t) 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −1.0 0 5 10 15 20 t X A TEX L E

What we receive (cont.) input = sin (1 . 4 × t ) 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 ● ● ● ● ● ● ● ● ● ● r(t) 0.0 ● ● ● ● −0.5 ● ● ● ● ● ● ● ● ● ● ● ● −1.0 0 5 10 15 20 t X A TEX L E

With equalization (time domain) • input = sin ( t /3) • e ( t ) = r ( t ) + 0 . 4 r ( t − 1) + 0 . 16 r ( t − 2) 1.0 ● ● ● ● ● ● ● ● ● ● ● ● 0.5 ● ● ● ● ● ● ● ● ● ● 0.0 r(t) ● ● ● ● ● ● −0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● −1.0 0 5 10 15 20 t X A TEX L E

With equalization (time domain) • input = sin (3 t ) 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 ● ● ● ● ● ● ● ● r(t) 0.0 ● ● ● ● ● ● −0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● −1.0 0 5 10 15 20 t X A TEX L E