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Analysis of sampled output of non linear system

The input output relation of a non linear system is y(t) = x(t)^2, the signal x(t) is band limited to Omega(max) = 2000*pi rad/s, it is shown if the output signal y(t) is band limited at all based on this scenario

Further the output y(t) is low pass filtered with magnitude of unity and cut off Omega(c) = 5000*pi rad/s. The required sampling period Ts is determined from this information

Finally an investigation is carried out to find if there is another value of for Ts that could be used to maintain the Nyquist criteria for sampling

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The input output relation of a non linear system is y(t) = x(t)^2, the signal x(t) is band limited to Omega(max) = 2000*pi rad/s, it is shown ...

Solution Summary

The input output relation of a non linear system is y(t) = x(t)^2, the signal x(t) is band limited to Omega(max) = 2000*pi rad/s, it is shown if the output signal y(t) is band limited at all based on this scenario

Further the output y(t) is low pass filtered with magnitude of unity and cut off Omega(c) = 5000*pi rad/s. The required sampling period Ts is determined from this information

Finally an investigation is carried out to find if there is another value of for Ts that could be used to maintain the Nyquist criteria for sampling

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