Question

how many sine components are necessary to create a square wave that is “square”?

What happens if you increase the amplitude of a component?

What happens if you increase the frequency of a component?

Answer 1

Square wave is the non-sinusoidal periodic waveform and can be represented as an infinite summation of sinusoidal waves.

Using Fourier expansion with cycle frequency f over time t, we can represent an ideal square wave with an amplitude of 1 as an infinite series of the form.

Square Wave time →

-sin (2π(2k-1),ft) (2k 1) 4 rsquare(t) = 규 2 ( k-1 sin ( 2π --

The ideal square wave contains only components of odd-integer harmonic frequencies (of the form 2?(2k-1)f).

On increasing the amplitude of each component of Square wave, The overall amplitude of Square wave shall increase.

On increasing frequency of each component, the square wave will be seen much smoother.