An antisymmetric filter has one zero at 5.0=z . What is the minimum order ofthis filter? Justify your answer
Question
An antisymmetric filter has one zero at 5.0=z . What is the minimum order ofthis filter? Justify your answer
Solution
To determine the minimum order of an antisymmetric filter with one zero at 5.0=z, we need to consider the properties of antisymmetric filters.
An antisymmetric filter is a type of filter that has a symmetric response around the origin. This means that if a zero exists at 5.0=z, there must also be a corresponding zero at -5.0=z.
In general, the order of a filter refers to the number of poles or zeros it has. Since we are given that there is only one zero at 5.0=z, we can conclude that there must be one corresponding zero at -5.0=z.
Therefore, the minimum order of this antisymmetric filter is 2, as it requires at least two zeros to maintain the antisymmetric property.
In summary, the minimum order of the antisymmetric filter with one zero at 5.0=z is 2, as it needs a corresponding zero at -5.0=z to maintain the antisymmetric response.
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