Digital signal processing (A-level only)

MediumHard
12345
Question 1
Hard
a.

Contrast a decoded Johnson decade counter with a 4-bit BCD (Binary Coded Decimal) ripple counter. Describe one functional difference and one functional similarity in how they output or sequence through their counts.

[2]
b.

An astable oscillator produces a continuous train of pulses shown on the oscilloscope screen below:

Oscilloscope Trace

In each complete cycle, the signal is high for exactly 2 horizontal grid divisions and low for exactly 6 horizontal grid divisions.

The oscilloscope settings are:

  • voltage gain =2 V / division= 2\text{ V / division}=2 V / division
  • time-base =12.5 μs / division= 12.5\ \mu\text{s / division}=12.5 μs / division

Determine the duty cycle and frequency of this signal.

[3]
c.

The astable oscillator is adjusted to produce a 2500 Hz test signal.

This signal is applied to the clock input of the BCD counter and to the clock input of the decoded Johnson decade counter.

The outputs of the BCD counter are Q0,Q1,Q2 Q_0, Q_1, Q_2\,Q0​,Q1​,Q2​ and Q3Q_3Q3​, where Q0 Q_0\,Q0​ is the least significant bit (LSB). The outputs of the decoded Johnson decade counter are Q0,Q1,Q2…Q9Q_0, Q_1, Q_2 \dots Q_9Q0​,Q1​,Q2​…Q9​.

Determine the frequency of the pulses available at Q1 Q_1\,Q1​ for each counter.

[4]

Digital signal processing (A-level only) Questions

  1. A Level
  2. /Physics
  3. /Digital signal processing (A-level only)