How to find period of signal, when spectrum is known?

1. How do you find the signal period?
2. How do you calculate the spectrum of a signal?
3. How is the period of the sum signal computed as?
4. What is the frequency and period of a signal?

How do you find the signal period?

Periodic Functions

x(t) = x(t + nT). The minimum value of T that satisfies x(t) = x(t + T) is called the fundamental period of the signal and we denote it as T₀. Examples of periodic signals are infinite sine and cosine waves. Examples: Given x₁(t) = cos(3t), and x₂(t) = sin(5t).

How do you calculate the spectrum of a signal?

Frequency spectrum of a signal is the range of frequencies contained by a signal. For example, a square wave is shown in Fig. 3.5A. It can be represented by a series of sine waves, S(t) = 4A/π sin(2πft) + 4A/3π sin(2π(3f)t) + 4A/5π sin(2π(5f)t + …)

How is the period of the sum signal computed as?

11. How is the period of the sum signal computed as? Explanation: If a signal is periodic then we have to convert each of the periods to the ratio of integers. We have to take the ratio of greatest common divisor(gcd) from the numerator to the gcd of denominator.

What is the frequency and period of a signal?

Frequency, f, is how many cycles of an oscillation occur per second and is measured in cycles per second or hertz (Hz). The period of a wave, T, is the amount of time it takes a wave to vibrate one full cycle. These two terms are inversely proportional to each other: f = 1/T and T = 1/f.