Question

Given the rising time of the step generator = 12 ps, the rising time of the sampler = 4 ps; the rising time of the interconnection = 3 ps. Please evaluate the resolution (in time) of the system (Resolution is defined as the one-way transit time tD that puts the TDR system at this threshold).

Answer 1

Answer 2

To evaluate the resolution of the system, we need to consider the total time delay through the entire system. The resolution is defined as the one-way transit time (tD) that puts the Time-Domain Reflectometry (TDR) system at the threshold.

The total time delay (tD) can be calculated by adding the individual time delays of each component in the system. The components in this case are the step generator, sampler, and interconnection.

Total time delay (tD) = Time delay of step generator + Time delay of sampler + Time delay of interconnection

Given: Rising time of the step generator = 12 ps Rising time of the sampler = 4 ps Rising time of the interconnection = 3 ps

Total time delay (tD) = 12 ps + 4 ps + 3 ps Total time delay (tD) = 19 ps

So, the resolution of the system is 19 picoseconds (ps) for the one-way transit time (tD) that puts the TDR system at the threshold.

Answer 3

To calculate the resolution of the system, we need to consider the one-way transit time, denoted as tD, that puts the Time Domain Reflectometry (TDR) system at the threshold. The resolution is directly related to the rise times of the components in the system.

In a TDR system, the resolution can be estimated using the formula:

scssCopy codeResolution (tD) = sqrt((tr_generator)^2 + (tr_sampler)^2 + (tr_interconnection)^2)

where:

• tr_generator is the rising time of the step generator (12 ps).

• tr_sampler is the rising time of the sampler (4 ps).

• tr_interconnection is the rising time of the interconnection (3 ps).

Let's plug in the values and calculate the resolution:

scssCopy codeResolution (tD) = sqrt((12 ps)^2 + (4 ps)^2 + (3 ps)^2)
               = sqrt(144 ps^2 + 16 ps^2 + 9 ps^2)
               = sqrt(169 ps^2)
               = 13 ps

Therefore, the resolution of the TDR system is approximately 13 picoseconds (ps).