Question

Problem 3: Nyquist Theorem (10 pts) With 32 levels of signal and a bandwidth f=1 MHz, what is the maximum data rate by the Nyquist theorem? Please include your calculation steps. Answers without intermediate work will not receive any point. (Hint: Nyquist theorem in Ch02 slides# 56)

Your solution: Data rate = 2 * 1mhz * log2(32) = 2* 1 Mhz * 5 =10 bps

Can someone check my work if i did this correctly? thank you

Answer 1

(for any doubts do mention in the comments section. If you are pleased with the answer , please do give a like:)

Nyquist theorem is used to find the data rate of a transmission system.

The answer you have given is wrong , because you haven't converted the bandwidth from Mega Hertz to Hertz.

In the equation , C=2Blog₂(M)

B=Bandwidth in Hertz

M= Number of levels

Inorder to convert mega hertz to hertz multiply the Mhz value by 1*10⁶.

eg: convert 2 Mega Hertz to Hertz?

  2 MHz= 2 *10⁶ Hz

  

The correct solution of the problem is given below:(refer for any doubt, pls mention in the comments section)