1. A synchronous finite state machine contains a single 'Serial Data' input (SD) and two outputs (S and 7). Output S should be active for one clock pulse every time the input sequence 11010 is detected and output T should be active every time the input sequence 11001 is detected. The functionality of this machine may be partially represented by a timing diagram as shown in Figure 1. Clock a) SD S T _www▬▬▬▬ ப Figure 1: Synchronous finite state machine timing diagram Derive the Moore model state diagram for this machine. Hint: ensure that the machine operates correctly even if the bit pattern is preceded by sub-sections of the pattern.
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
This topic is widely taught in many undergraduate and postgraduate degree courses of:
![1.
A synchronous finite state machine contains a single 'Serial Data' input (SD)
and two outputs (S and 7). Output S should be active for one clock pulse
every time the input sequence 11010 is detected and output T should be
active every time the input sequence 11001 is detected. The functionality
of this machine may be partially represented by a timing diagram as shown
in Figure 1.
Clock
a)
SD
S
T
Figure 1: Synchronous finite state machine timing diagram
Derive the Moore model state diagram for this machine.
Hint: ensure that the machine operates correctly even if the bit
pattern is preceded by sub-sections of the pattern.
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