Handyscope HS3 - Resolution

Resolution

When digitizing the samples, the voltage at each sample time is converted to a number. This is done by comparing the voltage with a number of levels. The resulting number is the number of the highest level that's still lower than the voltage. The number of levels is determined by the resolution. The higher the resolution, the more levels are available and the more accurate the input signal can be reconstructed. In the image below, the same signal is digitized, using three different amounts of levels: 16, 32 and 64.

resolution 4 bits resolution 5 bits resolution 6 bits

The number of available levels is determined by the resolution:

number of levels = 2 resolution in bits

The used resolutions in the previous image are respectively: 4 bits, 5 bits and 6 bits.

The smallest detectable voltage difference depends on the resolution and the input range. This voltage can be calculated as:

minimum voltage = full scale range / number of levels

In the 200 mV range, the full scale ranges from -200 mV to +200 mV, the full range is 400 mV. When a 12 bit resolution is used, there are 212 = 4096 levels. This results in a smallest detectable voltage step of 0.400 V / 4096 = 97.7 µV. In 16 bit resolution this step is 0.400 V / 65536 = 6.1 µV

Changing the resolution of an instrument in the Multi Channel software can be done in various different ways:

  • Right-clicking the instrument in the Object Tree, selecting Resolution and then the appropriate resolution value in the popup menu
  • Clicking the increase/decrease resolution buttons Increase resolution and Decrease resolution on the instrument toolbar
  • Clicking the Resolution label in the combined Record length + Sample frequency + Resolution indicator RecLen-SamplFreq-Resolution on the instrument toolbar and selecting the required value from the popup menu.
  • Clicking the resolution indicator Resolution on the channel toolbar and selecting the required resolution from the popup menu

The Handyscope HS3 has a native resolution of 12 bits. It also has user selectable resolutions of 8 bits, 14 bits and 16 bits. That results in the full range being divided in 256 levels (8 bits), 4096 levels (12 bits), 16384 levels (14 bits) or 65536 levels (16 bits). The smallest detectable voltage steps are then:

Input range Smallest voltage step
8 bits 12 bits 14 bits 16 bits
80 V 625.0 mV 39.06 mV 9.7656 mV 2.44141 mV
40 V 312.5 mV 19.53 mV 4.8828 mV 1.22070 mV
20 V 156.3 mV 9.766 mV 2.4414 mV610.352 µV
8 V 62.50 mV 3.906 mV976.56 µV 244.141 µV
4 V 31.25 mV 1.953 mV488.28 µV 122.070 µV
2 V 15.63 mV 0.976 mV244.14 µV 61.0352 µV
800 mV 6.250 mV390.6 µV 97.656 µV 24.4141 µV
400 mV 3.125 mV195.3 µV 48.828 µV 12.2070 µV
200 mV 1.563 mV 97.66 µV 24.414 µV 6.10352 µV

Selecting a different resolution changes the maximum sampling frequency for the Handyscope HS3:

Resolution Maximum sampling rate
8 bits 100 MS/s (depending on model)
12 bits 50 MS/s (depending on model)
14 bits 3.125 MS/s
16 bits 195 kS/s