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    EE210.2x SIGNALS AND SYSTEMS, PART 2 edX/IITBombayX/2015

    o!"e!"# o$ "% o'(#e1. Sampling and reconstruction: Sam)*&!+ o$ o!"&!'o'# #&+!a*#, &dea* a!d )(a"&a*(eo!#"('"&o! o$ o!"&!'o'# #&+!a*# $(om &"# #am)*e#, a*&a#&!+, e$$e" o$ #am)*&!+ &! "%e

    -o'(&e( doma&!, "%e Ny'" #am)*&!+ "%eo(em.

    2. Relationship between discrete and continuous systems: A!a*o+ "o d&+&"a* o!e(#&o!a!d &ee(#a, $(e'e!y !o(ma*&a"&o!, d&+&"a* )(oe##&!+ $o( a o!"&!'o'# #y#"em, "%ed(e"e "&me -o'(&e( "(a!#$o(m.

    3. The Laplace transform and its properties: +e!e(a*&&!+ "%e -o'(&e( "(a!#$o(m $o(o!"&!'o'# #&+!a*# a!d #y#"em# "%e La)*ae "(a!#$o(m, (e+&o! o$ o!e(+e!e, )(o)e("&e# o$"%e La)*ae "(a!#$o(m, "%e #y#"em $'!"&o!, exam)*e#

    4. The transform and its properties: +e!e(a*&&!+ "%e -o'(&e( "(a!#$o(m $o( d(e"e

    #&+!a*# a!d #y#"em# "%e 3 "(a!#$o(m, (e+&o! o$ o!e(+e!e, )(o)e("&e# o$ "%e 3 "(a!#$o(m,"%e #y#"em $'!"&o!, exam)*e#

    !. System analysis in a generali"ed transform domain: (a"&o!a* a!d &((a"&o!a* #y#"em$'!"&o!#, #y#"em a!a*y# &! "%e +e!e(a*&ed "(a!#$o(m doma&! #"ab&*&"y, a'#a*&"y, #y#"em(e#)o!#e.