Question

Sketch the magnitude and phase spectrum of m(t), where m(t) is defined as follows,

m(t)=40Sinc(20πt)

Answer 1

The magnitude and phase spectrum of m(t) can be sketched by taking the Fourier Transform of the function.

Step-by-step explanation:

To sketch the magnitude and phase spectrum of m(t), we need to first understand the given function. The function m(t) is defined as m(t) = 40Sinc(20πt), where Sinc() is the sinc function.

The magnitude spectrum represents the magnitude or amplitude of the frequency components present in the function. Since the function is in the time domain, we need to take the Fourier Transform to obtain the magnitude spectrum. The phase spectrum represents the phase shift of the frequency components.

To sketch the magnitude spectrum, we can plot the Fourier Transform of the function m(t), which would give us the magnitude at different frequencies. To sketch the phase spectrum, we can plot the phase shift at different frequencies.