assignment
TRANSCRIPT
Computer experiment of Science and Engineering�
High-‐pass filter and Low-‐pass filter
University of Aizu s1210199 Masanori Seino �
What is a High-‐pass filter? �
A high-‐pass filter (HPF) is an electronic filter that passes high-‐frequency signals but attenuates (reduces the amplitude of) signals with frequencies lower than the cutoff frequency.�
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The product of the resistance and capacitance (R×C) is the time constant (τ); it is incersely proportional to the cutoff frequency fc, that is,
Fc = 1 / 2πτ = 1 / 2πRC �
The simple first-‐order electronic high-‐pass filter show below figure. �
What is a Low-‐pass filter? �
A low-‐pass filter is a filter that passes low-‐frequency signals and attenuates (reduces the amplitude of) signals with frequencies higher that the cutoff frequency. �
The break frequency, also called the turnover frequency or cutoff frequency (in hertz), is determined by the time constant:
fc = 1 / 2πτ = 1 / 2πRC
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One simple low-‐pass filter circuit consists of a resistor in series with a load, and a capacitor in parallel with the load. �
Experiment �
1. I ask the f0 of the combination of CR that has been selected.
2. I measure the transfer characteristic.
3. To draw a graph to compare the two.
My data (High-‐pass)�
f � V1 p-‐p � V2 p-‐p� db � Out of phase�
0.71k� 5.16 � 0.52� -‐19.9� 87°�
3.58k� 5.16 � 2.36 � -‐6.79 � 63°�
7.16k� 5.12� 3.6 � -‐3.05� 45°
14.4k � 5.12� 4.52� -‐1.08� 25.4° �
71.6k� 5.16 � 5.08� -‐0.13 � 5.63° �
716k� 5.16 � 5.12� -‐0.06 � 1.24° �
My data (Low-‐pass)�
f � V1 p-‐p � V2 p-‐p� dB � Out of phase�
0.71k� 4.64� 4.56 � -‐0.15� -‐18° �
3.58k� 5.28� 4.64� -‐1.12� -‐25.9° �
7.16k� 5.28� 3.68 � -‐3.13� -‐45° �
14.4k � 5.28� 2.40� -‐6.84� -‐58.3° �
71.6k� 5.28� 0.72� -‐0.17� -‐60° �
716k� 5.28� 0.32� -‐0.24� 88° �
Graph (High-‐pass filter)�
Graph (Low-‐pass filter)�
Result of experiments�
When I wrote a graph based on the my experimental data, graph, as defined could be.
Conclusion �
High-‐pass filter
•High Frequency
No attenuation, asymptotic to the phase difference without
•Low Frequency
Phase difference is asymptotic to +90°
Low-‐pass filter
•High Frequency
No attenuation, asymptotic to the phase difference without.
•Low Frequency
Phase difference is asymptotic to -‐90°
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