3/4/08 ch10 homework: 10.1,2,7,8,10.2-lab,3 read 10.1,2 quiz on thursday on DTFS discrete time fourier series DTFT F(OMEGA) = sum(f[n]e^(-jnOMEGA)) f[n] = (1/2pi)int<(2pi)>(F(OMEGA)e^(jnOMEGA)dOMEGA) how is DTFT related to CTFT for a sampled signal? fig1 Linear time-invariant discrete time system analysis via DTFT fig2 dtft limitations: existence only guaranteed when x[n] is absolutely summable can only be used in asymptotically stable systems (no unstable or marginally stable systems) limited b/c we only express signals as combinations of complex exponentials of the form e^jOMEGAn where OMEGAn is a real number on to the Z transform to escape this issue lets use notation F(jOMEGA) instead of F(OMEGA) fig3