Arrange in order of the increasing Bandwidth value for the below mentioned systems : (a) DSB-SC (b) VSB (c) FM (d) SSB Codes :
(d) (b) (a) (c)
To determine the order of increasing bandwidth among the given modulation schemes, let's review the bandwidth requirements for each system:
- SSB (Single Sideband):
SSB requires the least bandwidth, which is equal to the message signal bandwidth \( W \). This is because only one sideband is transmitted. - VSB (Vestigial Sideband):
VSB requires slightly more bandwidth than SSB because a vestige of the other sideband is transmitted along with one complete sideband. The bandwidth is slightly greater than \( W \). - DSB-SC (Double Sideband Suppressed Carrier):
DSB-SC requires twice the bandwidth of the baseband signal. The bandwidth required is \( 2W \). - FM (Frequency Modulation):
FM requires a much larger bandwidth compared to the above systems. The bandwidth of FM is determined using Carson's Rule, given by \( B = 2(\Delta f + f_m) \), where \( \Delta f \) is the frequency deviation, and \( f_m \) is the maximum modulating signal frequency. FM typically has a bandwidth much greater than the previous forms of modulation.
Given these definitions, the order of increasing bandwidth is:
- SSB (least bandwidth)
- VSB
- DSB-SC
- FM (most bandwidth)
Thus, the correct order is: SSB (d), VSB (b), DSB-SC (a), FM (c).
This corresponds to the answer: (d) (b) (a) (c)
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