Show that if Z 1 is ZERO of the filter then11z is also a ZERO of LinearPhase filter.
Question
Show that if Z 1 is ZERO of the filter then 11z is also a ZERO of Linear Phase filter.
Solution
To show that if Z1 is a zero of the filter, then 11z is also a zero of the LinearPhase filter, we can follow these steps:
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Start by assuming that Z1 is a zero of the filter. This means that when Z1 is substituted into the transfer function of the filter, the result is zero.
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Now, let's consider the number 11z. We can substitute this value into the transfer function of the LinearPhase filter and see if the result is also zero.
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Substitute 11z into the transfer function of the LinearPhase filter and simplify the expression.
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If the result of substituting 11z into the transfer function is zero, then we can conclude that 11z is also a zero of the LinearPhase filter.
By following these steps, we can demonstrate that if Z1 is a zero of the filter, then 11z is also a zero of the LinearPhase filter.
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