Frequency counter gating accuracy: In a digital frequency counter, the measured accuracy depends on the exact width of the enable (gate) signal that allows input pulses to be counted. Evaluate this statement.

Introduction / Context:
Digital frequency counters measure how many cycles of an input signal occur during a precisely defined time window, often called the gate interval. The number of counted pulses divided by the gate time yields the measured frequency. Therefore, any error in the gate width directly translates into a frequency error.

Given Data / Assumptions:

• Frequency f_meas ≈ N / T_gate, where N is the counted pulses, T_gate is the enable interval.
• Gate timing is derived from a reference time base (for example, a crystal oscillator).
• Counter input stages are properly conditioned (e.g., with a Schmitt trigger) to ensure clean edges.

Concept / Approach:
The measurement is only as good as the accuracy and stability of the time base and the definition of the gate interval. If the gate pulse width deviates by delta_T, then the fractional frequency error is approximately delta_T / T_gate. Consequently, a stable, accurate gate interval is critical for accurate frequency measurements.

Step-by-Step Solution:

Verification / Alternative check:
In reciprocal counters and high-precision instruments, the time base specification (ppm accuracy, temperature coefficient) and gate width programming are explicitly documented because they set the accuracy floor.

Why Other Options Are Wrong:

Common Pitfalls:
Ignoring time-base tolerance and temperature drift; forgetting count quantization error for very short gate times; neglecting input conditioning that may cause missed pulses.

Final Answer:
Correct