Consider the integrator circuit shown below. From the input and output graphs shown, determine if this circuit is working correctly, by first determining what the output should be. (Show your working/reasoning.) The output of the integrator shown is given below: /1 Vout RC Vadt The general form of the integral (assuming the input is a cosine) is given by: A cos(wt)dt = A sin(wt) %3D 100kN 0.1µF V Vout 4.7kN 200 Hz Output 3.39 V, PP Input = 2.0 V,p PP 1 7. 10 3 Time / [ms] 2. 3 2) Input/Output Voltage/ [V]
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:
![Consider the integrator circuit shown below. From the input and output graphs shown,
determine if this circuit is working correctly, by first determining what the output should
be. (Show your working/reasoning.) The output of the integrator shown is given below:
1.
Vout
Vindt
RC
The general form of the integral (assuming the input is a cosine) is given by:
A cos(wt)dt = sin(wt)
%3D
100kN
0.1µF
in
Vout
4.7k2
200 Hz
3.
Output
Input
= 3.39 V
2.0 Vpp
%3D
PP
%3D
PP
1.
0.
6.
7.
10
1.
Time/ [ms
Input/Output Voltage/ [V]
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