What is the simplest filter mathematically? Band-pass filter Integrator High-pass filter Notch filter
时间: 2024-06-07 19:09:20 浏览: 8
The simplest filter mathematically is the high-pass filter. It is a linear filter that allows high-frequency signals to pass through while attenuating low-frequency signals. The transfer function of a high-pass filter can be written as H(s) = 1/(sRC + 1), where s is the Laplace variable, R is the resistance, and C is the capacitance. It is a first-order filter, meaning it has a slope of -20 dB/decade.
相关问题
如何理解less is more?give a example
"Less is more" is a phrase that advocates for simplicity and minimalism over complexity and excess. It suggests that sometimes, the most effective solution is the simplest one. This phrase is often used in design, art, and architecture.
For example, a simple and minimalist website design with fewer elements and a clear layout can be more effective in communicating its message and attracting visitors than a cluttered and complex design. Similarly, a clean and uncluttered interior design can create a more calming and peaceful atmosphere than a space filled with unnecessary decorations and furniture. In both cases, less is more.
用中文回答这个问题Consider a regular languagLe which consists of binary words that obey the following restrictions: • The alphabet is{ 0, 1}. • A word must start with1 .a • A word must end with0 .a • A 0 can follow a 1, but a 1 cannot follo w a 0 i) Give three examples odfi fferent binary words that obey this language. Assume [3%] that the sequence of inputs sttsa r with the first digit on the left end of a word. ii) What is the simplest kind of computing machine that can recognise the langua g[1e2 %] L described above? Draw a poisbsle deterministic design for this machine in diagrammatic form.
i) 三个符合这个规则的二进制单词的例子如下:
- 1010
- 110
- 1000
ii) 可以识别这种语言的最简单的计算机是有限状态自动机 (Finite State Automaton)。它包括一个输入字母表 (input alphabet)、一个状态集合 (set of states)、一个起始状态 (start state)、一组接受状态 (accept states) 和一个转移函数 (transition function)。这个转移函数将当前状态和输入符号映射到下一个状态。在这种情况下,有限状态自动机的设计如下图所示:
其中,S1、S2 和 S3 是状态,1 和 0 是输入字母表上的符号,箭头表示从一个状态到另一个状态的转移。在这个有限状态自动机中,起始状态是 S1,接受状态是 S3,并且只有当输入符号遵循上述规则时,自动机才能识别该输入。
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