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From: Jerry Avins on 22 Jun 2010 23:37 On 6/21/2010 6:59 PM, bos1234 wrote: >> On 06/21/2010 06:13 AM, bos1234 wrote: >>>> On 06/20/2010 06:41 PM, bos1234 wrote: >>>>> A continuous data signal is quantized and transmitted using a PCM >>> system. >>>>> If each data sample at the receiving end of the system must be known > to >>>>> within 0.5 percent of the peak-to-peak full-scale value, how many >>> binary >>>>> symbols must each transmitted digital word contain? >>>>> >>>>> I assumed that pk-pk of the signal is some constant A. >>>>> So what is represented by Ax0.5%?? >>>> >>>> Homework? What does your prof say? If you represent A with an N-bit >>>> binary number that's all ones, then what's the value of 00 ... 01 > (i.e. >>>> N-1 zeros and a 1 in the least significant place). >>>> >>>> -- >>>> Tim Wescott >>>> Control system and signal processing consulting >>>> www.wescottdesign.com >>>> >>> studying for exam. This is what the soln. says... >>> q=2^n=A/del >>> note: >>> del --> delta --> the distance between a quantisation level. >>> >>> del/2< 0.5/100* A where A is the pk-pk value of the data signal. >>> >>> del< 0.01A >>> de/A< 0.01 >>> A/del> 100 so q =128 and n=7 >>> >>> But does this even answer the question when they ask "how many binary >>> symbols must each transmitted digital word contain" >>> Isn't binary symbol a 0 or 1? >> >> Isn't it? If it were, would you need to send 128 of them, or 7, or some >> other number, to slice the pulse into 128 levels? >> >> -- >> Tim Wescott >> Control system and signal processing consulting >> www.wescottdesign.com > > what you mean??? So there are 128 levels and 7 bits/sample. I cannot > extract any more information from the question other that this Seven bits is 1 out of 128, or about 0.8%. How many bits do you need to equal or exceed .5%? Jerry -- Engineering is the art of making what you want from things you can get. �����������������������������������������������������������������������
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