Introduction to Fourier Analysis in Communication Systems

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What is the dc component in the context of a square wave?

The frequency of the square wave
The fifth harmonic of the square wave
The average value of the square wave (correct)
The peak value of the square wave

In the context of Fourier Theory, what does the fifth harmonic in a waveform represent?

The peak voltage of the waveform
5 times the peak frequency
The rms value of the waveform
The fifth term in the Fourier series expansion (correct)

How is the rms value of a waveform related to its peak value?

RMS value is half of the peak value
RMS value is 0.707 times the peak value (correct)
RMS value is always equal to the peak value
RMS value is double the peak value

What is the frequency of the fifth harmonic in a waveform with a peak voltage of 3V and a frequency of 48 kHz?

240 kHz (B) Signup and view all the answers

How is the peak value of the fifth harmonic calculated?

(4/π) (D) Signup and view all the answers

In which domain are time-variant quantities like voltage, current, or power expressed?

Time domain (C) Signup and view all the answers

According to Fourier analysis, what is any composite signal a combination of?

Simple sine waves with different frequencies, amplitudes, and phases (B) Signup and view all the answers

What is a square wave made up of according to Fourier analysis?

A sine wave at the fundamental frequency plus an infinite number of odd harmonics (A) Signup and view all the answers

How should a square wave be analyzed based on the implications of Fourier analysis?

As a collection of harmonically related sine waves (D) Signup and view all the answers

What does the equation resulting from Fourier mathematical analysis on a square wave express?

Voltage as a function of time (B) Signup and view all the answers

What multiplier is present for all sine terms in the equation resulting from Fourier analysis on a square wave?

$4V/π$ (D) Signup and view all the answers

What does RMS value represent in the context of square wave analysis?

Root Mean Square value of the voltage signal (B) Signup and view all the answers

What does Fourier theory provide us with?

A new and different way to express complex signals in terms of frequency. (D) Signup and view all the answers

How are complex signals with many sine or cosine components represented in the frequency domain?

As sine or cosine wave amplitudes at different frequencies. (A) Signup and view all the answers

In Fourier series expansion, what type of signals are expanded in terms of their harmonics?

Periodic signals (C) Signup and view all the answers

According to Drichelot Condition, what is a requirement for the existence of Fourier series in periodic signals?

Signals should have a finite number of maxima and minima over the period. (B) Signup and view all the answers

What does a frequency domain plot show?

Amplitude variations with respect to frequency (D) Signup and view all the answers

How are square wave and sawtooth wave typically represented in the frequency domain plot?

(a) Square wave, (b) Sawtooth (A) Signup and view all the answers