solve it plz National Instruments Corp. manufactures an A/D converter, Model #N1
ID: 2836112 • Letter: S
Question
solve it plz
National Instruments Corp. manufactures an A/D converter, Model #N1 USB- 5133, that is capable of sampling an analog signal at an fs sample rate of 100 mega samples per second (100 MHz). The A/D converter has internal memory that can store up to 4 times 106 discrete samples. What is the maximum number of cycles of a 25 MHz analog sinewave that can be stored in the A/D converter's memory? Show your work. In the first part of the text's Section 1.5 we stated that for a process (or system) to be linear it must satisfy a scaling property that we called the proportionality characteristic in the text's Eq. (1-14). Determine if the following processes have that proportionality characteristic: This problem is not "busy work." Knowing if a process (or system) is linear tells us what signal processing principles, and algorithms, can be applied in the analysis of that process (or system)Explanation / Answer
ANSWER:
1.16
The memory has a capacity of 4*106 samples and the sampling rate is 108 samples per second. The time in which memory gets full is 4*106 /108 = 4*10-2 sec.
Frequency of the sine wave is 25MHz. Hence 1 cycle takes 0.04*10-6 sec = 4*10-8 sec
Hence the memory gets full in 4*10-2 /4*10-8 = 106 cycles.
1.17
(a) In this case, if x[n] is changed to k*x[n], y[n] changes to k*x[n-1]/6. Hence the system is linear.
(b) In this case, if x[n] is changed to k*x[n], y[n] changes to 3 + k*x[n], which is not equal to k*(3 + x[n]). Hence the system is non-linear.
(c) In this case, if x[n] is changed to k*x[n], y[n] changes to sin(k*x[n]), which is not equal to k*sin(x[n]). Hence the system is non-linear.
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