Numerical error while implementing a periodic pulse signal

1. How do you check whether the signal is periodic or not?
2. What is a periodic pulse?
3. How can we generate a periodic signal from a periodic signal itself?
4. Which of the following Cannot be the Fourier series expansion of a periodic signal?

How do you check whether the signal is periodic or not?

In mathematical terms a signal x(t) is periodic if there is a number T such that for all t Equation 10.10 holds. The smallest positive number T that satisfies Equation 10.10 is the period and it defines the duration of one complete cycle. The fundamental frequency of a periodic signal is given by Equation 10.11.

What is a periodic pulse?

A periodic pulse train with period T₀ consists of rectangular pulses of duration T. The duty cycle of a periodic pulse train is defined by T/T₀. An application of the periodic pulse train is in the practical sampling process.

How can we generate a periodic signal from a periodic signal itself?

How can we generate a periodic signal from a periodic signal itself? Explanation: A periodic signal x(t) can be generated by a periodic extension of any segment of x of duration T( the period).

Which of the following Cannot be the Fourier series expansion of a periodic signal?

So, x(t) is a periodic or not periodic. Since function in (b) is non periodic. So does not satisfy Dirichlet conditionand cannot be expanded in Fourier series.