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In the following True or False problem, circle the correct answer The zeroes of

ID: 2083475 • Letter: I

Question

In the following True or False problem, circle the correct answer The zeroes of a transfer function equal the roots of the denominator polynomials B(s) of the transfer function. The all-zero system is also called self-regressive or autoregressive (AR) system. For DTFT transform, if the x(n) is real, then Re{X(theta)} is odd symmetric and lm{X(theta)} is even symmetric. A stable system is a dynamic system with a bounded output response for bounded input. A fast Fourier transform (FFT) algorithm reduces the complexity of computing the DFT from 0(n log n) to 0(n^2), where n is the data size.

Explanation / Answer

1.False Explanation:Zeros of a transfer function is determined by numerator of a Transfer function.

2.False.Explanation:Auto-regressive or self-regressive is all-poles system.

3.False.Explanation: for a real function upon its FT will have Re(X(n)) as even and Im(X(n)) as odd symmetric.

4.False in general sense.But cannot be predicted with this information.To predict wether a system to be dynamic we have to check is it linear?

5.False .Explanation:The other wat is true i.e FFT can compute the DFT in about O(nlogn) time, instead of (n2)(n2) time. There are several FFT algorithms.

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