Question

(5 pts). Suppose that H(j^o) is the frequency response of a system at frequency wo. The gain in decibels at that frequency is given by 7. G - 20log.o (H(j dB. dB Show that if H2 (ja,) = 2H (ja,), the gain G2 b. Show that if H3 (ja) = 0.1H ( jw), the gain Gis 20 dB lower than the gain G\B- If G3 is 6 dB greater than the gain G dB a. 7 14 dB, how is H(ja,) related to H (ja,)? G dB C. _ dB

Answer 1

Sucstion given LOSe that HG) is the Pregue rry csponse of a Syste at fre quencywo The gainin dlecibels at the frequency r's given by Glde 20log ( e 2 Hiwo) AJroo P- et us say 20 Jog ( THw Ge lde 3op h. 20 4os logatlo is CdB greatey than the Ge lde JainGB

20 leo e 20: Gmgit Gslde90 log, Log(a 201R+20 G13d is 20ae loues than the gaio Glds IP G le G ldet 14d6, betu is y ne lated 20l09105 tGtodB Hyco5HOw